Edit Profile (opens in new tab) Harary, Frank (b. 1921 d. 2005) Co-Author Distance Author ID: harary.frank Published as: Harary, Frank; Harary, F. Homepage: http://www.cs.nmsu.edu/fnh/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 559 Publications since 1949, including 8 Books 11 Contributions as Editor · 2 Further Contributions Biographic References: 14 Publications Co-Authors: 268 Co-Authors with 446 Joint Publications 6,689 Co-Co-Authors all top 5 Co-Authors 124 single-authored 25 Palmer, Edgar M. 22 Schwenk, Allen J. 21 Robinson, Robert W. 18 Beineke, Lowell Wayne 18 Chartrand, Gary Theodore 17 Exoo, Geoffrey 14 Akiyama, Jin 13 Plantholt, Michael J. 12 Kabell, Jerald A. 10 Haynes, Teresa W. 10 LeWinter, Martin L. 8 Buckley, Fred 8 McMorris, Frederick R. 7 Graham, Niall 7 Miller, Zevi 7 Tutte, William T. 7 Zhang, Ping 6 Blass, Andreas Raphael 6 Kainen, Paul C. 6 Norman, Robert Z. 6 Prins, Geert C. E. 5 Boesch, Frank T. 5 Cartwright, Dorwin 5 Harborth, Heiko 5 Hayes, John P. 5 Melter, Robert Alan 5 Read, Ronald C. 4 Brigham, Robert C. 4 Chvátal, Václav 4 Jacobson, Michael Scott 4 Kodama, Yukihiro 4 Manvel, Bennet 4 Mowshowitz, Abbe 4 Plummer, Michael D. 4 Slany, Wolfgang 4 Tindell, Ralph 4 Verbitsky, Oleg 4 Wormald, Nicholas Charles 3 Arlinghaus, William C. 3 Bollobás, Béla 3 Dewdney, A. K. 3 Dutton, Ronald D. 3 Erdős, Pál 3 Erickson, Martin J. 3 Esser, Friedrich 3 Frank, Ove 3 Geller, Dennis P. 3 Hedetniemi, Stephen Travis 3 Hsu, Derbiau F. 3 Jones, Kathryn Fraughnaugh 3 Livingston, Marilynn L. 3 Oellermann, Ortrud R. 3 Ostrand, Phillip A. 3 Schultz, Michelle 3 Schuster, Seymour 3 Tuza, Zsolt 3 Welsh, Dominic J. A. 2 Barefoot, Curtiss A. 2 Bari, Ruth Aaronson 2 Battle, J. 2 Bergstrand, Deborah J. 2 Carrington, Julie R. 2 Copeland, Arthur H. sen. 2 DeTemple, Duane W. 2 Era, Hiroshi 2 Erwin, David John 2 Ferrero, Daniela 2 Frucht, Roberto Wertheimer 2 Gardner, Marianne L. 2 Gupta, Gopal 2 Guy, Richard Kenneth 2 Hell, Pavol 2 Hill, Anthony 2 Hodges, Ken 2 Jordon, Heather 2 Kauffman, Louis Hirsch 2 Klawe, Maria Margaret 2 Kommel, Helene J. 2 Kovács, Peter 2 Krarup, Jakob 2 Kuklinski, Lisa 2 Lauri, Josef 2 Lim, Meng-Hiot 2 Lindstrom, Bernt 2 Lipman, Marc J. 2 Lipstein, Benjamin 2 Malek, Miroslaw 2 Maybee, John S. 2 Mezey, Paul G. 2 Moon, John W. 2 Nash-Williams, Crispin St. John Alvah 2 Nieminen, Juhani 2 Peled, Uri N. 2 Ranjan, Desh 2 Robertson, Jack M. 2 Ross, Ian C. 2 Slater, Peter James 2 Smith, Cedric A. B. 2 Suffel, Charles Louis 2 Tomescu, Ioan ...and 207 more Co-Authors all top 5 Serials 22 Journal of Graph Theory 21 Discrete Mathematics 15 Journal of Combinatorics, Information & System Sciences 14 Networks 11 Mathematical and Computer Modelling 9 American Mathematical Monthly 9 Ars Combinatoria 9 Bulletin of the Malaysian Mathematical Society. Second Series 9 Canadian Journal of Mathematics 9 Canadian Mathematical Bulletin 9 Mathematika 9 Congressus Numerantium 8 Pacific Journal of Mathematics 8 Utilitas Mathematica 7 Computers & Mathematics with Applications 7 Mathematics Magazine 7 Proceedings of the American Mathematical Society 7 International Journal of Computer Mathematics 7 Journal of Recreational Mathematics 7 Journal of Combinatorial Theory 6 Discrete Applied Mathematics 6 Bulletin of the Institute of Combinatorics and its Applications 5 Mathematica Slovaca 5 Michigan Mathematical Journal 5 Nanta Mathematica 5 Applied Mathematics Letters 5 Bulletin of the American Mathematical Society 4 Czechoslovak Mathematical Journal 4 International Journal of Mathematics and Mathematical Sciences 4 Journal of Combinatorial Theory. Series B 4 Graphs and Combinatorics 4 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 4 Elemente der Mathematik 4 Journal of the Australian Mathematical Society. Series A 4 SIAM Journal on Applied Mathematics 4 SIAM Review 3 Information Processing Letters 3 Bulletin of the London Mathematical Society 3 Colloquium Mathematicum 3 Le Matematiche 3 Mathematica Scandinavica 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Southeast Asian Bulletin of Mathematics 3 Proceedings of the National Academy of Sciences of the United States of America 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Menemui Matematik 2 Psychometrika 2 Duke Mathematical Journal 2 Fundamenta Mathematicae 2 IEEE Transactions on Circuits and Systems 2 International Journal of Game Theory 2 Journal of the London Mathematical Society. Second Series 2 The Journal of Mathematical Sociology 2 Journal für die Reine und Angewandte Mathematik 2 Management Science 2 Operations Research 2 Portugaliae Mathematica 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Quaestiones Mathematicae 2 Studia Scientiarum Mathematicarum Hungarica 2 Theoretical Computer Science 2 Transactions of the American Mathematical Society 2 Rivista di Matematica per le Scienze Economiche e Sociali 2 Caribbean Journal of Mathematics 2 Communications of the ACM 2 Scientia. Series A: Mathematical Sciences 2 The Australasian Journal of Combinatorics 2 Discussiones Mathematicae. Graph Theory 2 Journal of the Australian Mathematical Society 2 Journal of the London Mathematical Society 2 Scripta Mathematica 2 Matematický Časopis, Slovenskej Akadémie Vied 2 Journal of Mathematics and Physics 2 Proyecciones 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Franklin Institute 1 Periodica Mathematica Hungarica 1 Physica A 1 Pi Mu Epsilon Journal 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Wissenschaftliche Zeitschrift der Technischen Hochschule Ilmenau 1 Zastosowania Matematyki 1 Mathematics of Computation 1 Acta Mathematica 1 American Journal of Mathematics 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 1 Archiv der Mathematik 1 Bulletin of the Calcutta Mathematical Society 1 Commentationes Mathematicae Universitatis Carolinae 1 The Fibonacci Quarterly 1 Glasgow Mathematical Journal 1 Indian Journal of Mathematics 1 Information and Control 1 Journal of the American Statistical Association 1 Journal of the Association for Computing Machinery 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Geometry 1 The Journal of the Indian Mathematical Society. New Series ...and 72 more Serials all top 5 Fields 419 Combinatorics (05-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Computer science (68-XX) 13 General and overarching topics; collections (00-XX) 12 History and biography (01-XX) 11 Operations research, mathematical programming (90-XX) 7 Information and communication theory, circuits (94-XX) 6 Mathematical logic and foundations (03-XX) 6 Manifolds and cell complexes (57-XX) 5 Group theory and generalizations (20-XX) 4 Biology and other natural sciences (92-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Number theory (11-XX) 2 Probability theory and stochastic processes (60-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 436 Publications have been cited 10,077 times in 8,103 Documents Cited by ▼ Year ▼ Graph theory. Zbl 0182.57702 Harary, Frank 1,439 1969 Parallel concepts in graph theory. Zbl 0797.05064 Harary, F. 1,146 1993 On the metric dimension of a graph. Zbl 0349.05118 Harary, Frank; Melter, Robert A. 438 1976 Distance in graphs. Zbl 0688.05017 Buckley, Fred; Harary, Frank 381 1990 Graphical enumeration. Zbl 0266.05108 Harary, Frank; Palmer, Edgar M. 319 1973 On the notion of balance of a signed graph. Zbl 0056.42103 Harary, Frank 291 1954 Structural models: An introduction to the theory of directed graphs. Zbl 0139.41503 Harary, Frank; Norman, Robert Z.; Cartwright, Dorwin 273 1965 On Eulerian and Hamiltonian graphs and line graphs. Zbl 0136.44704 Harary, Frank; Nash-Williams, C. S. J. A. 202 1965 On the corona of two graphs. Zbl 0198.29302 Frucht, Roberto; Harary, Frank 177 1970 Conditional connectivity. Zbl 0514.05038 Harary, Frank 176 1983 Planar permutation graphs. Zbl 0162.27605 Chartrand, G.; Harary, Frank 128 1967 The two-triangle case of the acquaintance graph. Zbl 0235.05105 Harary, Frank 118 1972 Double domination in graphs. Zbl 0993.05104 Harary, Frank; Haynes, Teresa W. 110 2000 A survey of the theory of hypercube graphs. Zbl 0645.05061 Harary, Frank; Hayes, John P.; Wu, Horng-Jyh 104 1988 On the geodetic number of a graph. Zbl 0987.05047 Chartrand, Gary; Harary, Frank; Zhang, Ping 87 2002 The geodetic number of a graph. Zbl 0825.68490 Harary, Frank; Loukakis, Emmanuel; Tsouros, Constantine 87 1993 The Greek alphabet of ’Graph Theory’. Zbl 0196.27202 Harary, Frank 85 1969 Domination alteration sets in graphs. Zbl 0524.05040 Bauer, Douglas; Harary, Frank; Nieminen, Juhani; Suffel, Charles L. 84 1983 Generalizations of the matching polynomial. Zbl 0527.05055 Gutman, Ivan; Harary, Frank 81 1983 Generalized Ramsey theory for graphs. III: Small off-diagonal numbers. Zbl 0227.05115 Chvátal, Václav; Harary, Frank 77 1972 The maximum connectivity of a graph. Zbl 0115.41003 Harary, Frank 76 1962 Additivity of the genus of a graph. Zbl 0142.41501 Battle, J.; Harary, Frank; Kodama, Y.; Youngs, J. W. T. 75 1962 Covering and packing in graphs. I. Zbl 0226.05119 Harary, Frank 75 1970 Covering and packing in graphs. III: Cyclic and acyclic invariants. Zbl 0458.05050 Akiyama, Jin; Exoo, Geoffrey; Harary, Frank 70 1980 Perfect-matching preclusion. Zbl 1091.05057 Brigham, Robert C.; Harary, Frank; Violin, Elizabeth C.; Yellen, Jay 61 2005 The determinant of the adjacency matrix of a graph. Zbl 0113.17406 Harary, Frank 58 1962 Which graph have integral spectra? Zbl 0305.05125 Harary, Frank; Schwenk, Allen J. 58 1974 Convexity in graphs. Zbl 0493.05037 Harary, Frank; Nieminen, Juhani 55 1981 Some properties of line digraphs. Zbl 0099.18205 Harary, Frank; Norman, Robert Z. 53 1960 An interpolation theorem for graphical homomorphisms. Zbl 0187.20903 Harary, Frank; Hedetniemi, S.; Prins, G. 53 1967 The theory of round robin tournaments. Zbl 0142.41602 Harary, Frank; Moser, Leo 49 1966 Covering and packing in graphs. IV: Linear arboricity. Zbl 0479.05027 Akiyama, Jin; Exoo, Geoffrey; Harary, Frank 47 1981 Radio labelings of graphs. Zbl 0989.05102 Chartrand, Gary; Erwin, David; Zhang, Ping; Harary, Frank 47 2001 On double and multiple interval graphs. Zbl 0417.05050 Trotter, William T. jun.; Harary, Frank 46 1979 The number of caterpillars. Zbl 0266.05102 Harary, Frank; Schwenk, Allen J. 43 1973 On acyclic simplicial complexes. Zbl 0157.54903 Harary, Frank; Palmer, Edgar M. 42 1968 On the number of Husimi trees. I. Zbl 0053.13104 Harary, Frank; Uhlenbeck, George E. 42 1953 Extremal animals. Zbl 0402.05055 Harary, Frank; Harborth, Heiko 41 1976 Nordhaus-Gaddum inequalities for domination in graphs. Zbl 0856.05053 Harary, Frank; Haynes, Teresa W. 40 1996 Knots and graphs. I: Arc graphs and colorings. Zbl 1128.57301 Harary, Frank; Kauffman, Louis H. 39 1999 A characterization of block-graphs. Zbl 0112.25002 Harary, Frank 39 1963 On the tree graph of a matroid. Zbl 0249.05102 Holzmann, Carlos A.; Harary, Frank 39 1972 On the computer enumeration of finite topologies. Zbl 0166.01003 Evans, J. W.; Harary, Frank; Lynn, M. S. 38 1967 Uniquely colorable graphs. Zbl 0175.50205 Harary, Frank; Hedetniemi, S. T.; Robinson, R. W. 38 1969 The number of linear, directed, rooted and connected graphs. Zbl 0065.16702 Harary, Frank 37 1955 On the number of crossings in a complete graph. Zbl 0118.18902 Harary, Frank; Hill, Anthony 37 1963 The achromatic number of a graph. Zbl 0195.25702 Harary, Frank; Hedetniemi, Stephen 37 1970 The enumeration of tree-like polyhexes. Zbl 0201.26104 Harary, Frank; Read, Ronald C. 37 1970 A simple algorithm to detect balance in signed graphs. Zbl 0497.05056 Harary, Frank; Kabell, Jerald A. 36 1980 Edge fault tolerance in graphs. Zbl 0796.05046 Harary, Frank; Hayes, John P. 36 1993 Cospectral graphs and digraphs. Zbl 0224.05125 Harary, Frank; King, Clarence; Mowshowitz, Abbe; Read, Ronald C. 35 1971 Generalized Ramsey theory for graphs. II: Small diagonal numbers. Zbl 0229.05116 Chvátal, Václav; Harary, Frank 35 1972 Trees with Hamiltonian square. Zbl 0221.05052 Harary, Frank; Schwenk, Allen 34 1971 The number of plane trees. Zbl 0126.19002 Harary, Frank; Prins, Geert; Tutte, W. T. 33 1964 On the Möbius ladders. Zbl 0161.20602 Guy, R. K.; Harary, Frank 33 1967 Methods of destroying the symmetries of a graph. Zbl 1020.05033 Harary, Frank 32 2001 The number of homeomorphically irreducible trees, and other species. Zbl 0084.19304 Harary, Frank; Prins, Geert 31 1959 The dissimilarity characteristic of Husimi trees. Zbl 0051.40502 Harary, Frank; Norman, Robert Z. 31 1953 On the group of the composition of two graphs. Zbl 0085.37803 Harary, Frank 29 1959 Properties of almost all graphs and complexes. Zbl 0418.05050 Blass, Andreas; Harary, Frank 29 1979 On the thickness of the complete bipartite graph. Zbl 0121.18402 Beineke, L. W.; Harary, Frank; Moon, J. W. 28 1964 The genus of the n-cube. Zbl 0127.13801 Beineke, L. W.; Harary, Frank 27 1965 Destroying automorphisms by fixing nodes. Zbl 1109.05050 Erwin, David; Harary, Frank 27 2006 On the number of cycles in a graph. Zbl 0209.55404 Harary, Frank; Manvel, B. 26 1971 Paley graphs satisfy all first-order adjacency axioms. Zbl 0472.05058 Blass, Andreas; Exoo, Geoffrey; Harary, Frank 26 1981 On the dimension of a graph. Zbl 0151.33204 Erdős, Pál; Harary, Frank; Tutte, W. T. 26 1965 Toroidal graphs with arbitrarily high crossing numbers. Zbl 0285.05104 Harary, Frank; Kainen, Paul C.; Schwenk, Allen J. 26 1973 Boolean operations on graphs. Zbl 0152.22801 Harary, Frank; Wilcox, G. W. 25 1967 Geodetic sets in graphs. Zbl 0958.05044 Chartrand, Gary; Harary, Frank; Zhang, Ping 24 2000 Every planar graph with nine points has a nonplanar complement. Zbl 0114.14602 Battle, J.; Harary, Frank; Kodama, Y. 24 1962 The block-cutpoint-tree of a graph. Zbl 0168.44704 Harary, Frank; Prins, G. 24 1966 The biparticity of a graph. Zbl 0376.05043 Harary, Frank; Hsu, Derbiau; Miller, Zevi 24 1977 On the coloring of signed graphs. Zbl 0155.31703 Cartwright, D.; Harary, Frank 23 1968 Extremal results on the geodetic number of a graph. Zbl 0744.05021 Buckley, Fred; Harary, Frank; Quintas, Louis V. 23 1988 Graph theory and theoretical physics. Zbl 0202.55602 23 1967 A graph theoretic method for the complete reduction of a matrix with a view toward finding its eigenvalues. Zbl 0087.01701 Harary, Frank 22 1959 The thickness of the complete graph. Zbl 0135.42104 Beineke, L. W.; Harary, Frank 22 1965 Cluster inference by using transitivity indices in empirical graphs. Zbl 0505.62043 Frank, Ove; Harary, Frank 21 1982 Node fault tolerance in graphs. Zbl 0852.90081 Harary, Frank; Hayes, John P. 21 1996 Geodomination in graphs. Zbl 0969.05048 Chartrand, Gary; Harary, Frank; Swart, Henda C.; Zhang, Ping 21 2001 On the number of bi-colored graphs. Zbl 0084.19402 Harary, Frank 21 1958 Twenty-step algorithm for determining the asymptotic number of trees of various species. Zbl 0319.05102 Harary, Frank; Robinson, Robert W.; Schwenk, Allen J. 21 1975 Isomorphic factorisations. I: complete graphs. Zbl 0381.05044 Harary, Frank; Robinson, Robert W.; Wormald, Nicholas C. 21 1978 Sum graphs over all the integers. Zbl 0797.05069 Harary, Frank 21 1994 Recent results and unsolved problems on hypercube theory. Zbl 0840.05092 Harary, Frank 20 1991 On the reconstruction of a graph from a collection of subgraphs. Zbl 0161.43404 Harary, Frank 20 1964 Which nonnegative matrices are self-inverse. Zbl 0321.15008 Harary, Frank; Minc, Henryk 20 1976 The graph reconstruction number. Zbl 0664.05043 Harary, Frank; Plantholt, Michael 19 1985 Bipartite intersection graphs. Zbl 0516.05049 Harary, Frank; Kabell, Jerald A.; McMorris, F. R. 19 1982 A graph theoretic approach to matrix inversion by partitioning. Zbl 0109.09003 Harary, Frank 19 1962 Conditional colorability in graphs. Zbl 0556.05027 Harary, Frank 18 1985 The diameter of a graph and its complement. Zbl 0565.05046 Harary, Frank; Robinson, Robert W. 18 1985 The reconstruction of a tree form its maximal subtrees. Zbl 0141.21402 Harary, Frank; Palmer, Edgar M. 18 1966 The communication problem on graphs. Zbl 0307.05118 Harary, Frank; Schwenk, Allen J. 18 1974 Outerplanar graphs and weak duals. Zbl 0352.05029 Fleischner, Herbert J.; Geller, Dennis P.; Harary, Frank 18 1975 Generalized Ramsey theory for graphs, X: Double stars. Zbl 0434.05052 Grossman, Jerrold W.; Harary, Frank; Klawe, Maria 18 1979 The number of functional digraphs. Zbl 0087.38703 Harary, Frank 17 1959 The maximum number of strongly connected subtournaments. Zbl 0132.21303 Beineke, L. W.; Harary, Frank 17 1965 On similar points of a graph. Zbl 0141.21404 Harary, Frank; Palmer, Edgar M. 17 1966 The forcing domination number of a graph. Zbl 0906.05035 Chartrand, Gary; Gavlas, Heather; Vandell, Robert C.; Harary, Frank 16 1997 A seminar on graph theory. Lectures from the seminar held at the University of London, London, UK, 1962–1963. Reprint of the 1967 original. Zbl 1351.05002 2 2015 On eccentricity sequences of connected graphs. Zbl 1210.05031 Ferrero, Daniela; Harary, Frank 1 2009 Lune-free knot graphs. Zbl 1221.57003 Eliahou, Shalom; Harary, Frank; Kauffman, Louis H. 8 2008 Destroying automorphisms by fixing nodes. Zbl 1109.05050 Erwin, David; Harary, Frank 27 2006 Partitions into sum-free sets. Zbl 1134.11312 Blanchard, Peter F.; Harary, Frank; Reis, Rogério 7 2006 Perfect-matching preclusion. Zbl 1091.05057 Brigham, Robert C.; Harary, Frank; Violin, Elizabeth C.; Yellen, Jay 61 2005 Identity orientation of complete bipartite graphs. Zbl 1060.05071 Harary, Frank; Ranjan, Desh 3 2005 On the computational complexity of the forcing chromatic number. Zbl 1118.68508 Harary, Frank; Slany, Wolfgang; Verbitsky, Oleg 1 2005 On the lengths of symmetry breaking-preserving games on graphs. Zbl 1105.91009 Harary, F.; Slany, W.; Verbitsky, O. 1 2004 Edge sums of de Bruijn interconnection networks. Zbl 1036.05042 Ferrero, Daniela; Harary, Frank 1 2003 On the geodetic number of a graph. Zbl 0987.05047 Chartrand, Gary; Harary, Frank; Zhang, Ping 87 2002 Signed graphs for portfolio analysis in risk management. Zbl 1065.91025 Harary, Frank; Lim, Meng-Hiot; Wunsch, Donald C. 7 2002 Unsolved problems on distance in graphs. Zbl 1075.05521 Buckley, Fred; Harary, Frank 4 2002 A symmetric strategy in graph avoidance games. Zbl 1046.91013 Harary, Frank; Slany, Wolfgang; Verbitsky, Oleg 3 2002 Graph theory and geography. An interactive view. Zbl 1161.05345 Arlinghaus, Sandra; Arlinghaus, William C.; Harary, Frank 2 2002 A radio coloring of a hypercube. Zbl 1001.05053 Frieder, Ophir; Harary, Frank; Wan, Peng-Jun 2 2002 Radio labelings of graphs. Zbl 0989.05102 Chartrand, Gary; Erwin, David; Zhang, Ping; Harary, Frank 47 2001 Methods of destroying the symmetries of a graph. Zbl 1020.05033 Harary, Frank 32 2001 Geodomination in graphs. Zbl 0969.05048 Chartrand, Gary; Harary, Frank; Swart, Henda C.; Zhang, Ping 21 2001 Destroying symmetry by orienting edges: Complete graphs and complete bigraphs. Zbl 1001.05062 Harary, Frank; Jacobson, Michael S. 5 2001 One-color triangle avoidance games. Zbl 0990.91008 Cater, Steven C.; Harary, Frank; Robinson, Robert W. 4 2001 The Shields-Harary indices of vulnerability of a graph. Zbl 1001.05071 Harary, F.; Johnson, P. D. jun. 2 2001 Double domination in graphs. Zbl 0993.05104 Harary, Frank; Haynes, Teresa W. 110 2000 Geodetic sets in graphs. Zbl 0958.05044 Chartrand, Gary; Harary, Frank; Zhang, Ping 24 2000 On the hull number of a graph. Zbl 1064.05049 Chartrand, Gary; Harary, Frank; Zhang, Ping 16 2000 The automorphism group of a hypercube. Zbl 0960.68130 Harary, Frank 15 2000 Handicap achievement for polyominoes. Zbl 0976.05022 Harary, Frank; Harborth, Heiko; Seemann, Markus 3 2000 How large can the domination numbers of a graph be? Zbl 0951.05073 Chartrand, Gary; Eroh, Linda; Harary, Frank; Zhang, Ping 1 2000 Knots and graphs. I: Arc graphs and colorings. Zbl 1128.57301 Harary, Frank; Kauffman, Louis H. 39 1999 On the out-domination and in-domination numbers of a digraph. Zbl 0978.05057 Chartrand, Gary; Harary, Frank; Yue, Bill Quan 14 1999 Graphs whose radio coloring number equals the number of nodes. Zbl 0941.05023 Harary, Frank; Plantholt, Michael 2 1999 Every graph of cyclic bandwidth 3 is toroidal. Zbl 0938.05025 Harary, Frank; Kainen, Paul C.; Riskin, Adrian 1 1999 The \(k\)-tuple domatic number of a graph. Zbl 0937.05060 Harary, Frank; Haynes, Teresa W. 12 1998 Designs from graph invariants. Zbl 1217.05042 Harary, Frank 5 1998 Extremal problems in geodetic graph theory. Zbl 0951.05056 Chartrand, Gary; Zhang, Ping; Harary, Frank 3 1998 The difference between a graph and its square. Zbl 0915.05071 Aingworth, Donald; Motwani, Rajeev; Harary, Frank 3 1998 Efficient and excess domination in graphs. Zbl 0903.05032 Harary, Frank; Haynes, Teresa W.; Slater, Peter J. 1 1998 Breaking symmetry in complete graphs by orienting edges: asymptotic bounds. Zbl 1339.05198 Harary, Frank; Ranjan, Desh 1 1998 The forcing domination number of a graph. Zbl 0906.05035 Chartrand, Gary; Gavlas, Heather; Vandell, Robert C.; Harary, Frank 16 1997 Dynamic graph models. Zbl 0879.68085 Harary, F.; Gupta, G. 13 1997 Some small sized spanning subgraphs of a hypercube. Zbl 0931.90005 Graham, N.; Harary, F. 4 1997 The color cost of a caterpillar. Zbl 0887.05018 Gionfriddo, Mario; Harary, Frank; Tuza, Zsolt 4 1997 The irregularity cost of a graph. Zbl 0901.05086 Harary, F.; Oellermann, O. R. 1 1997 Filling the missing names of towns in a map: A graph theoretic approach. Zbl 0909.05041 Harary, Frank; Morgana, Aurora; Simeone, Bruno 1 1997 The e-mail gossip number and the connected domination number. Zbl 0883.05079 Harary, F.; Raghavachari, B. 1 1997 Nordhaus-Gaddum inequalities for domination in graphs. Zbl 0856.05053 Harary, Frank; Haynes, Teresa W. 40 1996 Node fault tolerance in graphs. Zbl 0852.90081 Harary, Frank; Hayes, John P. 21 1996 A study of maximum unit-circle caterpillars—tools for the study of the shape of adsorption patterns. Zbl 0848.05059 Harary, Frank; Randolph, William; Mezey, Paul G. 3 1996 The biparticity of a graph and the four color theorem. Zbl 0847.05054 Harary, Frank 1 1996 Size in maximal triangle-free graphs and minimal graphs of diameter 2. Zbl 0821.05031 Barefoot, Curtiss; Casey, Karen; Fisher, David; Fraughnaugh, Kathryn; Harary, Frank 15 1995 Exact 2-step domination in graphs. Zbl 0863.05050 Chartrand, Gary; Harary, Frank; Hossain, Moazzem; Schultz, Kelly 5 1995 Conditional graph theory. IV: Dominating sets. Zbl 0838.05066 Harary, Frank; Haynes, Teresa W. 3 1995 Achievement and avoidance of a strong orientation of a graph. Zbl 0904.05033 Chartrand, Gary; Harary, Frank; Schultz, Michelle; VanderJagt, Donald W. 2 1995 One node fault tolerance for caterpillars and starlike trees. Zbl 0847.68081 Harary, Frank; Khurrum, Mohammed 2 1995 Sum graphs over all the integers. Zbl 0797.05069 Harary, Frank 21 1994 The square of a chordal graph. Zbl 0795.05118 Harary, Frank; McKee, Terry A. 9 1994 On signed degrees in signed graphs. Zbl 0837.05110 Chartrand, Gary; Gavlas, Heather; Harary, Frank; Schultz, Michelle 7 1994 Forced orientation numbers of a graph. Zbl 0836.05043 Chartrand, Gary; Harary, Frank; Schultz, Michelle; Wall, Curtiss E. 6 1994 Sphere of influence graphs defined on a prescribed graph. Zbl 0860.05033 Harary, Frank; Jacobson, Michael S.; Lipman, Marc J.; McMorris, F. R. 1 1994 Minimum degree games for graphs. Zbl 0801.90148 Gordon, Daniel M.; Robinson, Robert W.; Harary, Frank 1 1994 Parallel concepts in graph theory. Zbl 0797.05064 Harary, F. 1,146 1993 The geodetic number of a graph. Zbl 0825.68490 Harary, Frank; Loukakis, Emmanuel; Tsouros, Constantine 87 1993 Edge fault tolerance in graphs. Zbl 0796.05046 Harary, Frank; Hayes, John P. 36 1993 Subcube fault-tolerance in hypercubes. Zbl 0785.68006 Graham, Niall; Harary, Frank; Livingston, Marilynn; Stout, Quentin F. 15 1993 Independent domination in hypercubes. Zbl 0780.05031 Harary, Frank; Livingston, Marilynn 15 1993 The neighborhood inclusion structure of a graph. Zbl 0795.05119 Boesch, Frank; Suffel, Charles; Tindell, Ralph; Harary, Frank 9 1993 Abstract sphere-of-influence graphs. Zbl 0791.05087 Harary, Frank; Jacobson, Michael S.; Lipman, Marc J.; McMorris, F. R. 8 1993 Three new directions in graph theory. Zbl 0854.05044 Harary, Frank 4 1993 Two graph-colouring games. Zbl 0788.05045 Harary, Frank; Tuza, Zsolt 4 1993 Vulnerability in graphs of diameter four. Zbl 0791.05033 Exoo, Geoffrey; Harary, Frank; Xu, Cheng-De 4 1993 Spanning subgraphs of a hypercube. IV: Rooted trees. Zbl 0791.05020 Harary, Frank; Lewinter, Martin 4 1993 Is Snaky a winner? Zbl 0847.05039 Harary, Frank 2 1993 The irregularity cost or sum of a graph. Zbl 0780.05052 Harary, Frank; Jacobson, Michael S.; Kubicka, Ewa; Kubicki, Grzegorz; Oellermann, Ortrud R. 1 1993 Quantifying fault recovery in multiprocessor systems. Zbl 0825.68225 Harary, Frank; Malek, Miroslaw 1 1993 Realizing the chromatic numbers of triangulations of surfaces. Zbl 0791.05026 Harary, Frank; Lawrencenko, Serge; Korzhik, Vladimir 1 1993 The cube of a path is maximal planar. Zbl 0804.05046 Harary, Frank; Kainen, Paul C. 1 1993 Changing and unchanging the diameter of a hypercube. Zbl 0756.94021 Graham, Niall; Harary, Frank 10 1992 Product graphs are sum graphs. Zbl 0785.05075 Bergstrand, Deborah; Hodges, Ken; Jennings, George; Kuklinski, Lisa; Wiener, Janet; Harary, Frank 5 1992 Subtree acyclic digraphs. Zbl 0770.05084 Harary, Frank; Kabell, Jerald A.; McMorris, F. R. 4 1992 Counting free binary trees admitting a given height. Zbl 1230.05162 Harary, Frank; Palmer, Edgar M.; Robinson, Robert W. 1 1992 Recent results and unsolved problems on hypercube theory. Zbl 0840.05092 Harary, Frank 20 1991 What is the difference between the domination and independent domination numbers of a cubic graph? Zbl 0728.05033 Barefoot, Curtiss; Harary, Frank; Jones, Kathryn F. 16 1991 Changing and unchanging the domination number of a graph. Zbl 0736.05067 Carrington, Julie; Harary, Frank; Haynes, Teresa W. 7 1991 Spanning subgraphs of a hypercube. VI: Survey and unsolved problems. Zbl 0840.05091 Harary, Frank; Lewinter, Martin 3 1991 Digitizing sum graphs over the reals. Zbl 0835.05075 Harary, F.; Hentzel, I. R.; Jacobs, D. P. 2 1991 Distance in graphs. Zbl 0688.05017 Buckley, Fred; Harary, Frank 381 1990 Sum graphs and difference graphs. Zbl 0691.05038 Harary, Frank 16 1990 Extremal competition numbers as a generalization of Turán’s theorem. Zbl 0721.05034 Harary, Frank; Kim, Suh-Ryung; Roberts, Fred S. 5 1990 Interval acyclic digraphs. Zbl 0711.05024 Harary, Frank; Kabell, Jerald A.; McMorris, F. R. 3 1990 Classification of interpolation theorems for spanning trees and other families of spanning subgraphs. Zbl 0699.05021 Harary, Frank; Plantholt, Michael J. 15 1989 The sum number of a complete graph. Zbl 0702.05072 Bergstrand, Deborah; Hodges, Ken; Jennings, George; Kuklinski, Lisa; Wiener, Janet; Harary, Frank 10 1989 Geodetic contraction games on graphs. Zbl 0678.90098 Fraenkel, A. S.; Harary, F. 4 1989 Interpolation theorems for the independence and domination numbers of spanning trees. Zbl 0681.05020 Harary, F.; Schuster, S. 3 1989 The geometric dual of a graph. Zbl 0712.05041 Harary, Frank 2 1989 The edge-distinguishing chromatic number of paths and cycles. Zbl 0669.05031 Al-Wahabi, K.; Harary, F.; Bari, R.; Ullman, D. 1 1989 On the point linear arboricity of a graph. Zbl 0741.05024 Harary, Frank; Maddox, Randall; Staton, William 1 1989 Spanning subgraphs of a hypercube. V: A spanned subcube. Zbl 0792.05039 Harary, Frank; Lewinter, Martin 1 1989 A survey of the theory of hypercube graphs. Zbl 0645.05061 Harary, Frank; Hayes, John P.; Wu, Horng-Jyh 104 1988 Extremal results on the geodetic number of a graph. Zbl 0744.05021 Buckley, Fred; Harary, Frank; Quintas, Louis V. 23 1988 On the Euclidean dimension of a wheel. Zbl 0642.05018 Buckley, Fred; Harary, Frank 12 1988 ...and 336 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,834 Authors 136 Harary, Frank 58 Lai, Hong-Jian 45 Yero, Ismael Gonzalez 43 Rodríguez-Velazquez, Juan Alberto 42 Henning, Michael Anthony 42 Volkmann, Lutz 42 Xiong, Liming 34 Chartrand, Gary Theodore 33 Klavžar, Sandi 31 Meng, Jixiang 30 Faudree, Ralph Jasper jun. 29 Cheng, Eddie 29 Santhakumaran, Ananthapalpu PonnaiahNadar 28 Li, Xueliang 28 Thomassen, Carsten 27 Naduvath, Sudev 26 Alikhani, Saeid 26 Gutman, Ivan M. 26 Ryjáček, Zdeněk 26 Zaslavsky, Thomas 25 Oellermann, Ortrud R. 24 Balbuena, Camino 24 Germina, K. A. 24 Palmer, Edgar M. 23 Dehmer, Matthias 23 Schelp, Richard Herbert 23 West, Douglas Brent 23 Yang, Weihua 22 Basavanagoud, Bommanahal 22 Broersma, Hajo J. 22 Brown, Jason Ira 22 Mao, Yaping 22 Ramane, Harishchandra S. 22 Sinha, Deepa 22 Vrána, Petr 22 Yi, Eunjeong 21 Acharya, Mukti 21 Jeyanthi, Pon 21 Xu, Junming 20 Erdős, Pál 20 Zhang, Heping 19 Hsu, Lihhsing 19 Slater, Peter James 18 Chen, Zhihong 18 Jafari Rad, Nader 18 Nebeský, Ladislav 18 Rautenbach, Dieter 18 Zhou, Shuming 17 Abrosimov, Mikhail Borisovich 17 Dourado, Mitre Costa 17 Maybee, John S. 17 Robinson, Robert W. 17 Titus, P. 17 Venkatachalam, Mathiyazhagan 16 Bapat, Ravindra Bhalchandra 16 Hell, Pavol 16 Kuziak, Dorota 16 Mora, Mercè 16 Pirzada, Shariefuddin 16 Zhan, Mingquan 15 Baskoro, Edy Tri 15 Beineke, Lowell Wayne 15 Burr, Stefan A. 15 Caro, Yair 15 Chang, Gerard Jennhwa 15 Došlić, Tomislav 15 Estrada-Moreno, Alejandro 15 Hedetniemi, Stephen Travis 15 Moon, John W. 15 Rousseau, Cecil C. 15 Rubio-Montiel, Christian 15 Sigarreta Almira, José María 15 Simić, Slobodan K. 15 Zhang, Ping 14 Belardo, Francesco 14 Chaluvaraju, B. 14 Chvátal, Václav 14 Emmert-Streib, Frank 14 Fan, Jianxi 14 Hernando, Carmen 14 Jacobson, Michael Scott 14 Joseph, Mayamma 14 Pelayo, Ignacio M. 14 Ponraj, R. 14 Škrekovski, Riste 14 Tuza, Zsolt 13 Ashrafi, Ali Reza 13 Bhat, Vijay Kumar 13 Brigham, Robert C. 13 Cangul, Ismail Naci 13 Foucaud, Florent 13 García-Vázquez, Pedro 13 Graham, Ronald Lewis 13 Haynes, Teresa W. 13 Kainen, Paul C. 13 Kauffman, Louis Hirsch 13 Makowsky, Johann-Andreas 13 Mathad, Veena N. 13 Milanič, Martin 13 Monikandan, S. ...and 8,734 more Authors all top 5 Cited in 638 Serials 1,128 Discrete Mathematics 641 Discrete Applied Mathematics 309 Journal of Combinatorial Theory. Series B 243 Theoretical Computer Science 225 Graphs and Combinatorics 218 Linear Algebra and its Applications 169 Information Processing Letters 149 Discrete Mathematics, Algorithms and Applications 128 Journal of Graph Theory 121 Applied Mathematics and Computation 96 European Journal of Combinatorics 80 Discussiones Mathematicae. Graph Theory 76 Mathematica Slovaca 71 Czechoslovak Mathematical Journal 70 The Electronic Journal of Combinatorics 70 Journal of Discrete Mathematical Sciences & Cryptography 66 Journal of Combinatorial Optimization 64 Proyecciones 63 Advances and Applications in Discrete Mathematics 60 Journal of Combinatorial Theory. Series A 59 Information Sciences 58 Computers & Mathematics with Applications 58 Algorithmica 57 Applied Mathematics Letters 57 Journal of Mathematical Chemistry 56 Linear and Multilinear Algebra 54 AKCE International Journal of Graphs and Combinatorics 53 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 52 Electronic Journal of Graph Theory and Applications 47 European Journal of Operational Research 44 The Australasian Journal of Combinatorics 41 Journal of Computer and System Sciences 37 Palestine Journal of Mathematics 36 International Journal of Computer Mathematics 35 Mathematical and Computer Modelling 34 Networks 34 SIAM Journal on Algebraic and Discrete Methods 34 Communications in Combinatorics and Optimization 32 Proceedings of the American Mathematical Society 32 South East Asian Journal of Mathematics and Mathematical Sciences 30 Transactions of the American Mathematical Society 30 SIAM Journal on Discrete Mathematics 29 Aequationes Mathematicae 29 Journal of Knot Theory and its Ramifications 29 Prikladnaya Diskretnaya Matematika 28 Journal of Mathematical Psychology 26 Advances in Applied Mathematics 26 Journal of Applied Mathematics and Computing 26 Transactions on Combinatorics 25 International Journal of Foundations of Computer Science 25 Journal of Mathematical Sciences (New York) 24 Journal of the Franklin Institute 24 Acta Mathematica Sinica. English Series 23 The Journal of Mathematical Sociology 23 Journal of Mathematics 23 DML. Discrete Mathematics Letters 22 Acta Mathematicae Applicatae Sinica. English Series 22 Discrete & Computational Geometry 22 Journal of Algebraic Combinatorics 21 Mathematical Biosciences 21 Computing 21 Journal of Algebra and its Applications 21 Asian-European Journal of Mathematics 20 Israel Journal of Mathematics 20 Quaestiones Mathematicae 20 Ars Mathematica Contemporanea 19 Periodica Mathematica Hungarica 19 Acta Universitatis Sapientiae. Informatica 18 Physica A 18 Computational Geometry 18 Journal of Discrete Algorithms 17 Mathematical Notes 17 Journal of Algebra 17 Journal of Statistical Planning and Inference 17 Topology and its Applications 17 Order 17 Annals of Operations Research 16 Journal of Mathematical Analysis and Applications 16 Bulletin of Mathematical Biology 16 Archiv der Mathematik 16 Combinatorica 16 Filomat 16 Parallel Processing Letters 16 AIMS Mathematics 15 Automatica 15 Theory of Computing Systems 15 Iranian Journal of Mathematical Chemistry 15 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 14 Communications in Algebra 14 Advances in Mathematics 14 Monatshefte für Mathematik 14 Designs, Codes and Cryptography 14 Journal of Graph Algorithms and Applications 13 International Journal of Control 13 Information and Computation 13 Computers & Operations Research 13 Combinatorics, Probability and Computing 13 International Journal of Combinatorics 12 Indian Journal of Pure & Applied Mathematics 12 Journal of Mathematical Biology ...and 538 more Serials all top 5 Cited in 58 Fields 6,700 Combinatorics (05-XX) 1,298 Computer science (68-XX) 392 Operations research, mathematical programming (90-XX) 305 Biology and other natural sciences (92-XX) 300 Linear and multilinear algebra; matrix theory (15-XX) 268 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 188 Group theory and generalizations (20-XX) 176 Information and communication theory, circuits (94-XX) 143 Manifolds and cell complexes (57-XX) 130 Convex and discrete geometry (52-XX) 106 Probability theory and stochastic processes (60-XX) 105 Commutative algebra (13-XX) 97 Order, lattices, ordered algebraic structures (06-XX) 91 Statistics (62-XX) 88 Number theory (11-XX) 85 Mathematical logic and foundations (03-XX) 84 Numerical analysis (65-XX) 79 Systems theory; control (93-XX) 68 General topology (54-XX) 58 Geometry (51-XX) 57 Statistical mechanics, structure of matter (82-XX) 48 Dynamical systems and ergodic theory (37-XX) 43 Quantum theory (81-XX) 40 Ordinary differential equations (34-XX) 38 Associative rings and algebras (16-XX) 30 Partial differential equations (35-XX) 29 Algebraic geometry (14-XX) 21 History and biography (01-XX) 18 Nonassociative rings and algebras (17-XX) 17 Category theory; homological algebra (18-XX) 17 Algebraic topology (55-XX) 15 General algebraic systems (08-XX) 15 Operator theory (47-XX) 13 General and overarching topics; collections (00-XX) 13 Special functions (33-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Difference and functional equations (39-XX) 11 Mechanics of particles and systems (70-XX) 11 Mechanics of deformable solids (74-XX) 10 Differential geometry (53-XX) 9 Functions of a complex variable (30-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Measure and integration (28-XX) 7 Functional analysis (46-XX) 7 Relativity and gravitational theory (83-XX) 6 Field theory and polynomials (12-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Real functions (26-XX) 4 Approximations and expansions (41-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Topological groups, Lie groups (22-XX) 3 Abstract harmonic analysis (43-XX) 3 Geophysics (86-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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