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## Harary, Frank

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 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: 569 Publications since 1949, including 18 Books Biographic References: 13 Publications
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#### Co-Authors

 124 single-authored 25 Palmer, Edgar M. 21 Robinson, Robert W. 21 Schwenk, Allen J. 18 Beineke, Lowell W. 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 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 Read, Ronald C. 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 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 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 Erdős, Pál 2 Erwin, David John 2 Ferrero, Daniela 2 Frucht, Roberto Wertheimer 2 Gardner, Marianne L. 2 Gavlas, Heather Jordon 2 Guy, Richard Kenneth 2 Hell, Pavol 2 Hill, Anthony 2 Hodges, Ken 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 Nieminen, Juhani 2 Peled, Uri N. 2 Ranjan, Desh 2 Robertson, Jack M. 2 Ross, Ian C. 2 Slater, Peter James 2 Suffel, Charles L. 2 Tomescu, Ioan 2 Tsouros, Constantine 2 Vince, Andrew 2 Wall, Curtiss E. 2 Wallis, Walter D. ...and 160 more Co-Authors
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#### 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 69 more Serials
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#### Fields

 417 Combinatorics (05-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Computer science (68-XX) 12 History and biography (01-XX) 11 Operations research, mathematical programming (90-XX) 10 General and overarching topics; collections (00-XX) 7 Information and communication theory, circuits (94-XX) 6 Manifolds and cell complexes (57-XX) 5 Mathematical logic and foundations (03-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)

#### Citations contained in zbMATH Open

425 Publications have been cited 7,838 times in 6,314 Documents Cited by Year
Parallel concepts in graph theory. Zbl 0797.05064
Harary, F.
1993
Graph theory. Zbl 0182.57702
Harary, Frank
1969
On the metric dimension of a graph. Zbl 0349.05118
Harary, Frank; Melter, Robert A.
1976
Distance in graphs. Zbl 0688.05017
Buckley, Fred; Harary, Frank
1990
Graphical enumeration. Zbl 0266.05108
Harary, Frank; Palmer, Edgar M.
1973
Structural models: An introduction to the theory of directed graphs. Zbl 0139.41503
Harary, Frank; Norman, R. Z.; Cartwright, D.
1965
On the notion of balance of a signed graph. Zbl 0056.42103
Harary, Frank
1954
On Eulerian and Hamiltonian graphs and line graphs. Zbl 0136.44704
Harary, Frank; Nash-Williams, C. S. J. A.
1965
Conditional connectivity. Zbl 0514.05038
Harary, Frank
1983
On the corona of two graphs. Zbl 0198.29302
Frucht, Roberto; Harary, Frank
1970
Planar permutation graphs. Zbl 0162.27605
Chartrand, G.; Harary, Frank
1967
The Greek alphabet of ’Graph Theory’. Zbl 0196.27202
Harary, Frank
1969
A survey of the theory of hypercube graphs. Zbl 0645.05061
Harary, Frank; Hayes, John P.; Wu, Horng-Jyh
1988
Double domination in graphs. Zbl 0993.05104
Harary, Frank; Haynes, Teresa W.
2000
The two-triangle case of the acquaintance graph. Zbl 0235.05105
Harary, Frank
1972
Generalizations of the matching polynomial. Zbl 0527.05055
Gutman, Ivan; Harary, Frank
1983
Domination alteration sets in graphs. Zbl 0524.05040
Bauer, Douglas; Harary, Frank; Nieminen, Juhani; Suffel, Charles L.
1983
The maximum connectivity of a graph. Zbl 0115.41003
Harary, Frank
1962
Additivity of the genus of a graph. Zbl 0142.41501
Battle, J.; Harary, Frank; Kodama, Y.; Youngs, J. W. T.
1962
Covering and packing in graphs. I. Zbl 0226.05119
Harary, Frank
1970
Generalized Ramsey theory for graphs. III: Small off-diagonal numbers. Zbl 0227.05115
Chvátal, Václav; Harary, Frank
1972
Covering and packing in graphs. III: Cyclic and acyclic invariants. Zbl 0458.05050
Akiyama, Jin; Exoo, Geoffrey; Harary, Frank
1980
On the geodetic number of a graph. Zbl 0987.05047
Chartrand, Gary; Harary, Frank; Zhang, Ping
2002
The geodetic number of a graph. Zbl 0825.68490
Harary, Frank; Loukakis, Emmanuel; Tsouros, Constantine
1993
Convexity in graphs. Zbl 0493.05037
Harary, Frank; Nieminen, Juhani
1981
An interpolation theorem for graphical homomorphisms. Zbl 0187.20903
Harary, Frank; Hedetniemi, S.; Prins, G.
1967
Perfect-matching preclusion. Zbl 1091.05057
Brigham, Robert C.; Harary, Frank; Violin, Elizabeth C.; Yellen, Jay
2005
The determinant of the adjacency matrix of a graph. Zbl 0113.17406
Harary, Frank
1962
On double and multiple interval graphs. Zbl 0417.05050
Trotter, William T. jun.; Harary, Frank
1979
Covering and packing in graphs. IV: Linear arboricity. Zbl 0479.05027
Akiyama, Jin; Exoo, Geoffrey; Harary, Frank
1981
Some properties of line digraphs. Zbl 0099.18205
Harary, Frank; Norman, Robert Z.
1960
The theory of round robin tournaments. Zbl 0142.41602
Harary, Frank; Moser, Leo
1966
On the tree graph of a matroid. Zbl 0249.05102
Holzmann, Carlos A.; Harary, Frank
1972
Uniquely colorable graphs. Zbl 0175.50205
Harary, Frank; Hedetniemi, S. T.; Robinson, R. W.
1969
The enumeration of tree-like polyhexes. Zbl 0201.26104
1970
The number of linear, directed, rooted and connected graphs. Zbl 0065.16702
Harary, Frank
1955
Knots and graphs. I: Arc graphs and colorings. Zbl 1128.57301
Harary, Frank; Kauffman, Louis H.
1999
The number of caterpillars. Zbl 0266.05102
Harary, Frank; Schwenk, Allen J.
1973
On acyclic simplicial complexes. Zbl 0157.54903
Harary, Frank; Palmer, Edgar M.
1968
Radio labelings of graphs. Zbl 0989.05102
Chartrand, Gary; Erwin, David; Zhang, Ping; Harary, Frank
2001
Nordhaus-Gaddum inequalities for domination in graphs. Zbl 0856.05053
Harary, Frank; Haynes, Teresa W.
1996
The achromatic number of a graph. Zbl 0195.25702
Harary, Frank; Hedetniemi, Stephen
1970
Edge fault tolerance in graphs. Zbl 0796.05046
Harary, Frank; Hayes, John P.
1993
Generalized Ramsey theory for graphs. II: Small diagonal numbers. Zbl 0229.05116
Chvátal, Václav; Harary, Frank
1972
Extremal animals. Zbl 0402.05055
Harary, Frank; Harborth, Heiko
1976
On the computer enumeration of finite topologies. Zbl 0166.01003
Evans, J. W.; Harary, Frank; Lynn, M. S.
1967
Trees with Hamiltonian square. Zbl 0221.05052
Harary, Frank; Schwenk, Allen
1971
Cospectral graphs and digraphs. Zbl 0224.05125
Harary, Frank; King, Clarence; Mowshowitz, Abbe; Read, Ronald C.
1971
A characterization of block-graphs. Zbl 0112.25002
Harary, Frank
1963
The number of homeomorphically irreducible trees, and other species. Zbl 0084.19304
Harary, Frank; Prins, Geert
1959
The number of plane trees. Zbl 0126.19002
Harary, Frank; Prins, Geert; Tutte, W. T.
1964
On the number of crossings in a complete graph. Zbl 0118.18902
Harary, Frank; Hill, Anthony
1963
On the number of Husimi trees. I. Zbl 0053.13104
Harary, Frank; Uhlenbeck, George E.
1953
The dissimilarity characteristic of Husimi trees. Zbl 0051.40502
Harary, Frank; Norman, Robert Z.
1953
A simple algorithm to detect balance in signed graphs. Zbl 0497.05056
Harary, Frank; Kabell, Jerald A.
1980
On the Möbius ladders. Zbl 0161.20602
Guy, R. K.; Harary, Frank
1967
On the thickness of the complete bipartite graph. Zbl 0121.18402
Beineke, L. W.; Harary, Frank; Moon, J. W.
1964
The genus of the n-cube. Zbl 0127.13801
Beineke, L. W.; Harary, Frank
1965
Properties of almost all graphs and complexes. Zbl 0418.05050
Blass, Andreas; Harary, Frank
1979
Toroidal graphs with arbitrarily high crossing numbers. Zbl 0285.05104
Harary, Frank; Kainen, Paul C.; Schwenk, Allen J.
1973
Methods of destroying the symmetries of a graph. Zbl 1020.05033
Harary, Frank
2001
On the dimension of a graph. Zbl 0151.33204
Erdős, Pál; Harary, Frank; Tutte, W. T.
1965
On the number of cycles in a graph. Zbl 0209.55404
Harary, Frank; Manvel, B.
1971
On the group of the composition of two graphs. Zbl 0085.37803
Harary, Frank
1959
A graph theoretic method for the complete reduction of a matrix with a view toward finding its eigenvalues. Zbl 0087.01701
Harary, Frank
1959
The biparticity of a graph. Zbl 0376.05043
Harary, Frank; Hsu, Derbiau; Miller, Zevi
1977
On the number of bi-colored graphs. Zbl 0084.19402
Harary, Frank
1958
Destroying automorphisms by fixing nodes. Zbl 1109.05050
Erwin, David; Harary, Frank
2006
Paley graphs satisfy all first-order adjacency axioms. Zbl 0472.05058
Blass, Andreas; Exoo, Geoffrey; Harary, Frank
1981
Twenty-step algorithm for determining the asymptotic number of trees of various species. Zbl 0319.05102
Harary, Frank; Robinson, Robert W.; Schwenk, Allen J.
1975
Isomorphic factorisations. I: complete graphs. Zbl 0381.05044
Harary, Frank; Robinson, Robert W.; Wormald, Nicholas C.
1978
The thickness of the complete graph. Zbl 0135.42104
Beineke, L. W.; Harary, Frank
1965
Cluster inference by using transitivity indices in empirical graphs. Zbl 0505.62043
Frank, Ove; Harary, Frank
1982
Boolean operations on graphs. Zbl 0152.22801
Harary, Frank; Wilcox, G. W.
1967
Geodetic sets in graphs. Zbl 0958.05044
Chartrand, Gary; Harary, Frank; Zhang, Ping
2000
A graph theoretic approach to matrix inversion by partitioning. Zbl 0109.09003
Harary, Frank
1962
Node fault tolerance in graphs. Zbl 0852.90081
Harary, Frank; Hayes, John P.
1996
Bipartite intersection graphs. Zbl 0516.05049
Harary, Frank; Kabell, Jerald A.; McMorris, F. R.
1982
Which graph have integral spectra? Zbl 0305.05125
Harary, Frank; Schwenk, Allen J.
1974
The reconstruction of a tree form its maximal subtrees. Zbl 0141.21402
Harary, Frank; Palmer, Edgar M.
1966
The graph reconstruction number. Zbl 0664.05043
Harary, Frank; Plantholt, Michael
1985
On the coloring of signed graphs. Zbl 0155.31703
Cartwright, D.; Harary, Frank
1968
The block-cutpoint-tree of a graph. Zbl 0168.44704
Harary, Frank; Prins, G.
1966
The diameter of a graph and its complement. Zbl 0565.05046
Harary, Frank; Robinson, Robert W.
1985
Extremal results on the geodetic number of a graph. Zbl 0744.05021
Buckley, Fred; Harary, Frank; Quintas, Louis V.
1988
The communication problem on graphs. Zbl 0307.05118
Harary, Frank; Schwenk, Allen J.
1974
Sum graphs over all the integers. Zbl 0797.05069
Harary, Frank
1994
Regular graphs with given girth pair. Zbl 0542.05041
Harary, Frank; Kovács, Peter
1983
Graphs as models of communication network vulnerability: Connectivity and persistence. Zbl 0471.05041
Boesch, Frank T.; Harary, Frank; Kabell, Jerald A.
1981
On the cell-growth problem for arbitrary polygons. Zbl 0301.05119
Harary, Frank; Palmer, Edgar M.; Read, Ronald C.
1975
Which nonnegative matrices are self-inverse. Zbl 0321.15008
Harary, Frank; Minc, Henryk
1976
Outerplanar graphs and weak duals. Zbl 0352.05029
Fleischner, Herbert J.; Geller, Dennis P.; Harary, Frank
1975
Every planar graph with nine points has a nonplanar complement. Zbl 0114.14602
Battle, J.; Harary, Frank; Kodama, Y.
1962
On similar points of a graph. Zbl 0141.21404
Harary, Frank; Palmer, Edgar M.
1966
Isomorphic factorizations. X: Unsolved problems. Zbl 0617.05051
Harary, Frank; Robinson, Robert W.
1985
Subcube fault-tolerance in hypercubes. Zbl 0785.68006
Graham, Niall; Harary, Frank; Livingston, Marilynn; Stout, Quentin F.
1993
The number of functional digraphs. Zbl 0087.38703
Harary, Frank
1959
Classification of interpolation theorems for spanning trees and other families of spanning subgraphs. Zbl 0699.05021
Harary, Frank; Plantholt, Michael J.
1989
The automorphism group of a hypercube. Zbl 0960.68130
Harary, Frank
2000
Generalized Ramsey theory for graphs, X: Double stars. Zbl 0434.05052
Grossman, Jerrold W.; Harary, Frank; Klawe, Maria
1979
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
Harary, Frank
2015
On eccentricity sequences of connected graphs. Zbl 1210.05031
Ferrero, Daniela; Harary, Frank
2009
Lune-free knot graphs. Zbl 1221.57003
Eliahou, Shalom; Harary, Frank; Kauffman, Louis H.
2008
Destroying automorphisms by fixing nodes. Zbl 1109.05050
Erwin, David; Harary, Frank
2006
Partitions into sum-free sets. Zbl 1134.11312
Blanchard, Peter F.; Harary, Frank; Reis, Rogério
2006
Perfect-matching preclusion. Zbl 1091.05057
Brigham, Robert C.; Harary, Frank; Violin, Elizabeth C.; Yellen, Jay
2005
Identity orientation of complete bipartite graphs. Zbl 1060.05071
Harary, Frank; Ranjan, Desh
2005
On the computational complexity of the forcing chromatic number. Zbl 1118.68508
Harary, Frank; Slany, Wolfgang; Verbitsky, Oleg
2005
On the lengths of symmetry breaking-preserving games on graphs. Zbl 1105.91009
Harary, F.; Slany, W.; Verbitsky, O.
2004
Edge sums of de Bruijn interconnection networks. Zbl 1036.05042
Ferrero, Daniela; Harary, Frank
2003
On the geodetic number of a graph. Zbl 0987.05047
Chartrand, Gary; Harary, Frank; Zhang, Ping
2002
Signed graphs for portfolio analysis in risk management. Zbl 1065.91025
Harary, Frank; Lim, Meng-Hiot; Wunsch, Donald C.
2002
Unsolved problems on distance in graphs. Zbl 1075.05521
Buckley, Fred; Harary, Frank
2002
Graph theory and geography. An interactive view. Zbl 1161.05345
Arlinghaus, Sandra; Arlinghaus, William C.; Harary, Frank
2002
A radio coloring of a hypercube. Zbl 1001.05053
Frieder, Ophir; Harary, Frank; Wan, Peng-Jun
2002
A symmetric strategy in graph avoidance games. Zbl 1046.91013
Harary, Frank; Slany, Wolfgang; Verbitsky, Oleg
2002
Radio labelings of graphs. Zbl 0989.05102
Chartrand, Gary; Erwin, David; Zhang, Ping; Harary, Frank
2001
Methods of destroying the symmetries of a graph. Zbl 1020.05033
Harary, Frank
2001
Geodomination in graphs. Zbl 0969.05048
Chartrand, Gary; Harary, Frank; Swart, Henda C.; Zhang, Ping
2001
Destroying symmetry by orienting edges: Complete graphs and complete bigraphs. Zbl 1001.05062
Harary, Frank; Jacobson, Michael S.
2001
One-color triangle avoidance games. Zbl 0990.91008
Cater, Steven C.; Harary, Frank; Robinson, Robert W.
2001
The Shields-Harary indices of vulnerability of a graph. Zbl 1001.05071
Harary, F.; Johnson, P. D. jun.
2001
Double domination in graphs. Zbl 0993.05104
Harary, Frank; Haynes, Teresa W.
2000
Geodetic sets in graphs. Zbl 0958.05044
Chartrand, Gary; Harary, Frank; Zhang, Ping
2000
The automorphism group of a hypercube. Zbl 0960.68130
Harary, Frank
2000
On the hull number of a graph. Zbl 1064.05049
Chartrand, Gary; Harary, Frank; Zhang, Ping
2000
Handicap achievement for polyominoes. Zbl 0976.05022
Harary, Frank; Harborth, Heiko; Seemann, Markus
2000
How large can the domination numbers of a graph be? Zbl 0951.05073
Chartrand, Gary; Eroh, Linda; Harary, Frank; Zhang, Ping
2000
Knots and graphs. I: Arc graphs and colorings. Zbl 1128.57301
Harary, Frank; Kauffman, Louis H.
1999
On the out-domination and in-domination numbers of a digraph. Zbl 0978.05057
Chartrand, Gary; Harary, Frank; Yue, Bill Quan
1999
Graphs whose radio coloring number equals the number of nodes. Zbl 0941.05023
Harary, Frank; Plantholt, Michael
1999
Every graph of cyclic bandwidth 3 is toroidal. Zbl 0938.05025
Harary, Frank; Kainen, Paul C.; Riskin, Adrian
1999
The $$k$$-tuple domatic number of a graph. Zbl 0937.05060
Harary, Frank; Haynes, Teresa W.
1998
Designs from graph invariants. Zbl 1217.05042
Harary, Frank
1998
Extremal problems in geodetic graph theory. Zbl 0951.05056
Chartrand, Gary; Zhang, Ping; Harary, Frank
1998
The difference between a graph and its square. Zbl 0915.05071
Aingworth, Donald; Motwani, Rajeev; Harary, Frank
1998
Efficient and excess domination in graphs. Zbl 0903.05032
Harary, Frank; Haynes, Teresa W.; Slater, Peter J.
1998
Breaking symmetry in complete graphs by orienting edges: asymptotic bounds. Zbl 1339.05198
Harary, Frank; Ranjan, Desh
1998
The forcing domination number of a graph. Zbl 0906.05035
Chartrand, Gary; Gavlas, Heather; Vandell, Robert C.; Harary, Frank
1997
Dynamic graph models. Zbl 0879.68085
Harary, F.; Gupta, G.
1997
The color cost of a caterpillar. Zbl 0887.05018
Gionfriddo, Mario; Harary, Frank; Tuza, Zsolt
1997
Some small sized spanning subgraphs of a hypercube. Zbl 0931.90005
Graham, N.; Harary, F.
1997
The e-mail gossip number and the connected domination number. Zbl 0883.05079
Harary, F.; Raghavachari, B.
1997
The irregularity cost of a graph. Zbl 0901.05086
Harary, F.; Oellermann, O. R.
1997
Filling the missing names of towns in a map: A graph theoretic approach. Zbl 0909.05041
Harary, Frank; Morgana, Aurora; Simeone, Bruno
1997
Nordhaus-Gaddum inequalities for domination in graphs. Zbl 0856.05053
Harary, Frank; Haynes, Teresa W.
1996
Node fault tolerance in graphs. Zbl 0852.90081
Harary, Frank; Hayes, John P.
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.
1996
The biparticity of a graph and the four color theorem. Zbl 0847.05054
Harary, Frank
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
1995
Exact 2-step domination in graphs. Zbl 0863.05050
Chartrand, Gary; Harary, Frank; Hossain, Moazzem; Schultz, Kelly
1995
Conditional graph theory. IV: Dominating sets. Zbl 0838.05066
Harary, Frank; Haynes, Teresa W.
1995
One node fault tolerance for caterpillars and starlike trees. Zbl 0847.68081
Harary, Frank; Khurrum, Mohammed
1995
Achievement and avoidance of a strong orientation of a graph. Zbl 0904.05033
Chartrand, Gary; Harary, Frank; Schultz, Michelle; VanderJagt, Donald W.
1995
Sum graphs over all the integers. Zbl 0797.05069
Harary, Frank
1994
The square of a chordal graph. Zbl 0795.05118
Harary, Frank; McKee, Terry A.
1994
Forced orientation numbers of a graph. Zbl 0836.05043
Chartrand, Gary; Harary, Frank; Schultz, Michelle; Wall, Curtiss E.
1994
On signed degrees in signed graphs. Zbl 0837.05110
Chartrand, Gary; Gavlas, Heather; Harary, Frank; Schultz, Michelle
1994
Sphere of influence graphs defined on a prescribed graph. Zbl 0860.05033
Harary, Frank; Jacobson, Michael S.; Lipman, Marc J.; McMorris, F. R.
1994
Parallel concepts in graph theory. Zbl 0797.05064
Harary, F.
1993
The geodetic number of a graph. Zbl 0825.68490
Harary, Frank; Loukakis, Emmanuel; Tsouros, Constantine
1993
Edge fault tolerance in graphs. Zbl 0796.05046
Harary, Frank; Hayes, John P.
1993
Subcube fault-tolerance in hypercubes. Zbl 0785.68006
Graham, Niall; Harary, Frank; Livingston, Marilynn; Stout, Quentin F.
1993
Independent domination in hypercubes. Zbl 0780.05031
Harary, Frank; Livingston, Marilynn
1993
Abstract sphere-of-influence graphs. Zbl 0791.05087
Harary, Frank; Jacobson, Michael S.; Lipman, Marc J.; McMorris, F. R.
1993
The neighborhood inclusion structure of a graph. Zbl 0795.05119
Boesch, Frank; Suffel, Charles; Tindell, Ralph; Harary, Frank
1993
Two graph-colouring games. Zbl 0788.05045
Harary, Frank; Tuza, Zsolt
1993
Vulnerability in graphs of diameter four. Zbl 0791.05033
Exoo, Geoffrey; Harary, Frank; Xu, Cheng-De
1993
Three new directions in graph theory. Zbl 0854.05044
Harary, Frank
1993
Is Snaky a winner? Zbl 0847.05039
Harary, Frank
1993
Spanning subgraphs of a hypercube. IV: Rooted trees. Zbl 0791.05020
Harary, Frank; Lewinter, Martin
1993
The irregularity cost or sum of a graph. Zbl 0780.05052
Harary, Frank; Jacobson, Michael S.; Kubicka, Ewa; Kubicki, Grzegorz; Oellermann, Ortrud R.
1993
Quantifying fault recovery in multiprocessor systems. Zbl 0825.68225
Harary, Frank; Malek, Miroslaw
1993
Realizing the chromatic numbers of triangulations of surfaces. Zbl 0791.05026
Harary, Frank; Lawrencenko, Serge; Korzhik, Vladimir
1993
The cube of a path is maximal planar. Zbl 0804.05046
Harary, Frank; Kainen, Paul C.
1993
Changing and unchanging the diameter of a hypercube. Zbl 0756.94021
Graham, Niall; Harary, Frank
1992
Subtree acyclic digraphs. Zbl 0770.05084
Harary, Frank; Kabell, Jerald A.; McMorris, F. R.
1992
Product graphs are sum graphs. Zbl 0785.05075
Bergstrand, Deborah; Hodges, Ken; Jennings, George; Kuklinski, Lisa; Wiener, Janet; Harary, Frank
1992
Counting free binary trees admitting a given height. Zbl 1230.05162
Harary, Frank; Palmer, Edgar M.; Robinson, Robert W.
1992
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.
1991
Recent results and unsolved problems on hypercube theory. Zbl 0840.05092
Harary, Frank
1991
Changing and unchanging the domination number of a graph. Zbl 0736.05067
Carrington, Julie; Harary, Frank; Haynes, Teresa W.
1991
Spanning subgraphs of a hypercube. VI: Survey and unsolved problems. Zbl 0840.05091
Harary, Frank; Lewinter, Martin
1991
Digitizing sum graphs over the reals. Zbl 0835.05075
Harary, F.; Hentzel, I. R.; Jacobs, D. P.
1991
Distance in graphs. Zbl 0688.05017
Buckley, Fred; Harary, Frank
1990
Extremal competition numbers as a generalization of Turán’s theorem. Zbl 0721.05034
Harary, Frank; Kim, Suh-Ryung; Roberts, Fred S.
1990
Sum graphs and difference graphs. Zbl 0691.05038
Harary, Frank
1990
Interval acyclic digraphs. Zbl 0711.05024
Harary, Frank; Kabell, Jerald A.; McMorris, F. R.
1990
Classification of interpolation theorems for spanning trees and other families of spanning subgraphs. Zbl 0699.05021
Harary, Frank; Plantholt, Michael J.
1989
The sum number of a complete graph. Zbl 0702.05072
Bergstrand, Deborah; Hodges, Ken; Jennings, George; Kuklinski, Lisa; Wiener, Janet; Harary, Frank
1989
Geodetic contraction games on graphs. Zbl 0678.90098
Fraenkel, A. S.; Harary, F.
1989
Interpolation theorems for the independence and domination numbers of spanning trees. Zbl 0681.05020
Harary, F.; Schuster, S.
1989
On the point linear arboricity of a graph. Zbl 0741.05024
Harary, Frank; Maddox, Randall; Staton, William
1989
The geometric dual of a graph. Zbl 0712.05041
Harary, Frank
1989
Spanning subgraphs of a hypercube. V: A spanned subcube. Zbl 0792.05039
Harary, Frank; Lewinter, Martin
1989
A survey of the theory of hypercube graphs. Zbl 0645.05061
Harary, Frank; Hayes, John P.; Wu, Horng-Jyh
1988
Extremal results on the geodetic number of a graph. Zbl 0744.05021
Buckley, Fred; Harary, Frank; Quintas, Louis V.
1988
On graphs with signed inverses. Zbl 0646.05061
Buckley, Fred; Doty, Lynne L.; Harary, Frank
1988
On the Euclidean dimension of a wheel. Zbl 0642.05018
Buckley, Fred; Harary, Frank
1988
The starlike trees which span a hypercube. Zbl 0645.05032
Harary, Frank; Lewinter, Martin
1988
...and 325 more Documents
all top 5

#### Cited by 6,961 Authors

 131 Harary, Frank 47 Lai, Hong-Jian 38 Rodríguez-Velazquez, Juan Alberto 36 Volkmann, Lutz 36 Xiong, Liming 36 Yero, Ismael Gonzalez 34 Henning, Michael Anthony 33 Chartrand, Gary Theodore 27 Li, Xueliang 26 Faudree, Ralph Jasper jun. 25 Gutman, Ivan M. 25 Meng, Jixiang 23 Balbuena, Camino 23 Oellermann, Ortrud R. 23 Palmer, Edgar M. 23 Thomassen, Carsten 23 West, Douglas Brent 21 Alikhani, Saeid 21 Klavžar, Sandi 21 Ryjáček, Zdeněk 20 Broersma, Hajo J. 20 Cheng, Eddie 20 Dehmer, Matthias 20 Xu, Junming 20 Zaslavsky, Thomas 19 Hsu, Lihhsing 19 Schelp, Richard Herbert 19 Yang, Weihua 18 Brown, Jason Ira 18 Nebeský, Ladislav 17 Chen, Zhihong 17 Erdős, Pál 17 Maybee, John S. 17 Rautenbach, Dieter 17 Slater, Peter James 16 Mao, Yaping 16 Robinson, Robert W. 16 Sinha, Deepa 16 Zhang, Heping 15 Araujo-Pardo, Gabriela 15 Bapat, Ravindra Bhalchandra 15 Burr, Stefan A. 15 Chang, Gerard Jennhwa 15 Germina, K. A. 15 Ramane, Harishchandra S. 15 Vrána, Petr 15 Yi, Eunjeong 14 Acharya, Mukti 14 Dourado, Mitre C. 14 Jeyanthi, Pon 14 Moon, John W. 14 Mora, Mercè 14 Pelayo, Ignacio M. 14 Pirzada, Shariefuddin 14 Rubio-Montiel, Christian 14 Simić, Slobodan K. 14 Tuza, Zsolt 13 Abrosimov, Mikhail Borisovich 13 Belardo, Francesco 13 Emmert-Streib, Frank 13 Estrada-Moreno, Alejandro 13 García-Vázquez, Pedro 13 Hernando, Carmen 13 Jacobson, Michael Scott 13 Jafari Rad, Nader 13 Kuziak, Dorota 13 Milanič, Martin 13 Naduvath, Sudev 13 Roberts, Fred S. 13 Santhakumaran, Anandhapalpu P. 13 Wang, Yue-Li 13 Zhan, Mingquan 13 Zhang, Ping 12 Beineke, Lowell W. 12 Chen, Xiebin 12 Fleischner, Herbert J. 12 Gould, Ronald J. 12 Hell, Pavol 12 Kauffman, Louis Hirsch 12 Labelle, Gilbert 12 Plesník, Ján 12 Rousseau, Cecil C. 12 Sigarreta Almira, José María 12 Syslo, Maciej M. 12 Tian, Yingzhi 12 Veldman, Henk Jan 11 Acharya, Belmannu Devadas 11 Ashrafi, Ali Reza 11 Brigham, Robert C. 11 Dankelmann, Peter 11 Došlić, Tomislav 11 Hansen, Pierre 11 Haynes, Teresa W. 11 Hedetniemi, Stephen Travis 11 Liu, Yanpei 11 Meir, Amram 11 Nešetřil, Jaroslav 11 Parsons, Torrence D. 11 Pati, Sukanta 11 Pisanski, Tomaž ...and 6,861 more Authors
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#### Cited in 536 Serials

 1,062 Discrete Mathematics 555 Discrete Applied Mathematics 214 Theoretical Computer Science 199 Journal of Combinatorial Theory. Series B 194 Graphs and Combinatorics 191 Linear Algebra and its Applications 164 Information Processing Letters 99 Journal of Graph Theory 94 Applied Mathematics and Computation 86 European Journal of Combinatorics 80 Discrete Mathematics, Algorithms and Applications 76 Mathematica Slovaca 68 Czechoslovak Mathematical Journal 58 Computers & Mathematics with Applications 58 Journal of Combinatorial Theory. Series A 55 Information Sciences 55 Applied Mathematics Letters 55 Journal of Combinatorial Optimization 52 Discussiones Mathematicae. Graph Theory 51 The Electronic Journal of Combinatorics 47 Algorithmica 44 European Journal of Operational Research 40 Journal of Mathematical Chemistry 37 Journal of Computer and System Sciences 36 International Journal of Computer Mathematics 36 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 35 Mathematical and Computer Modelling 35 AKCE International Journal of Graphs and Combinatorics 34 Linear and Multilinear Algebra 33 SIAM Journal on Algebraic and Discrete Methods 33 Electronic Journal of Graph Theory and Applications 31 Proceedings of the American Mathematical Society 29 Networks 29 Transactions of the American Mathematical Society 28 Proyecciones 28 Prikladnaya Diskretnaya Matematika 27 Journal of Mathematical Psychology 27 Journal of Knot Theory and its Ramifications 24 Aequationes Mathematicae 23 Journal of the Franklin Institute 23 Advances in Applied Mathematics 23 Journal of Mathematics 22 The Australasian Journal of Combinatorics 21 Mathematical Biosciences 21 Computing 21 The Journal of Mathematical Sociology 21 SIAM Journal on Discrete Mathematics 21 Acta Mathematica Sinica. English Series 20 Journal of Applied Mathematics and Computing 20 Transactions on Combinatorics 19 Journal of Discrete Mathematical Sciences & Cryptography 18 Discrete & Computational Geometry 18 Journal of Discrete Algorithms 17 Periodica Mathematica Hungarica 17 Journal of Algebra 17 Acta Mathematicae Applicatae Sinica. English Series 16 Bulletin of Mathematical Biology 16 Journal of Statistical Planning and Inference 16 Combinatorica 16 Order 16 Journal of Algebra and its Applications 15 Topology and its Applications 15 Computational Geometry 15 Journal of Algebraic Combinatorics 14 Israel Journal of Mathematics 14 Journal of Mathematical Analysis and Applications 14 Mathematical Notes 14 Archiv der Mathematik 14 Quaestiones Mathematicae 13 Advances in Mathematics 13 Monatshefte für Mathematik 13 International Journal of Foundations of Computer Science 13 International Journal of Combinatorics 13 Communications in Combinatorics and Optimization 12 Computers & Operations Research 12 Annals of Operations Research 12 Designs, Codes and Cryptography 12 Journal of Mathematical Sciences (New York) 12 Theory of Computing Systems 12 Asian-European Journal of Mathematics 12 Palestine Journal of Mathematics 11 International Journal of Control 11 Journal of Soviet Mathematics 11 Mathematical Social Sciences 11 Combinatorics, Probability and Computing 11 Matematický Časopis, Slovenskej Akadémie Vied 10 Bulletin of the Australian Mathematical Society 10 Communications in Algebra 10 Journal of Mathematical Biology 10 Psychometrika 10 Rocky Mountain Journal of Mathematics 10 Mathematische Annalen 10 Journal of Graph Algorithms and Applications 10 RAIRO. Operations Research 10 South East Asian Journal of Mathematics and Mathematical Sciences 10 Discrete Optimization 10 Optimization Letters 10 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 10 Journal of Discrete Mathematics 9 Mathematics of Computation ...and 436 more Serials
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#### Cited in 57 Fields

 5,154 Combinatorics (05-XX) 1,007 Computer science (68-XX) 330 Operations research, mathematical programming (90-XX) 234 Linear and multilinear algebra; matrix theory (15-XX) 208 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 207 Biology and other natural sciences (92-XX) 157 Information and communication theory, circuits (94-XX) 147 Group theory and generalizations (20-XX) 120 Manifolds and cell complexes (57-XX) 99 Convex and discrete geometry (52-XX) 88 Order, lattices, ordered algebraic structures (06-XX) 88 Probability theory and stochastic processes (60-XX) 80 Statistics (62-XX) 77 Mathematical logic and foundations (03-XX) 74 Numerical analysis (65-XX) 71 Number theory (11-XX) 66 Commutative algebra (13-XX) 63 Systems theory; control (93-XX) 50 General topology (54-XX) 43 Geometry (51-XX) 37 Dynamical systems and ergodic theory (37-XX) 37 Statistical mechanics, structure of matter (82-XX) 32 Ordinary differential equations (34-XX) 28 Associative rings and algebras (16-XX) 28 Quantum theory (81-XX) 21 Algebraic geometry (14-XX) 21 Partial differential equations (35-XX) 19 History and biography (01-XX) 13 Nonassociative rings and algebras (17-XX) 12 Special functions (33-XX) 12 Operator theory (47-XX) 11 Category theory; homological algebra (18-XX) 10 General and overarching topics; collections (00-XX) 10 General algebraic systems (08-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Algebraic topology (55-XX) 10 Mechanics of particles and systems (70-XX) 8 Functions of a complex variable (30-XX) 8 Difference and functional equations (39-XX) 8 Mechanics of deformable solids (74-XX) 7 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Measure and integration (28-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Field theory and polynomials (12-XX) 5 Functional analysis (46-XX) 4 Real functions (26-XX) 4 Relativity and gravitational theory (83-XX) 3 Topological groups, Lie groups (22-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Geophysics (86-XX) 2 Abstract harmonic analysis (43-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX)

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