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Harary, Frank

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Author ID: harary.frank Recent zbMATH articles by "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
all top 5

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
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 69 more Serials

Publications by Year

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
763
1969
On the metric dimension of a graph. Zbl 0349.05118
Harary, Frank; Melter, Robert A.
278
1976
Distance in graphs. Zbl 0688.05017
Buckley, Fred; Harary, Frank
275
1990
Graphical enumeration. Zbl 0266.05108
Harary, Frank; Palmer, Edgar M.
267
1973
Structural models: An introduction to the theory of directed graphs. Zbl 0139.41503
Harary, Frank; Norman, R. Z.; Cartwright, D.
242
1965
On the notion of balance of a signed graph. Zbl 0056.42103
Harary, Frank
190
1954
On Eulerian and Hamiltonian graphs and line graphs. Zbl 0136.44704
Harary, Frank; Nash-Williams, C. S. J. A.
177
1965
Conditional connectivity. Zbl 0514.05038
Harary, Frank
135
1983
On the corona of two graphs. Zbl 0198.29302
Frucht, Roberto; Harary, Frank
118
1970
Planar permutation graphs. Zbl 0162.27605
Chartrand, G.; Harary, Frank
104
1967
The Greek alphabet of ’Graph Theory’. Zbl 0196.27202
Harary, Frank
85
1969
A survey of the theory of hypercube graphs. Zbl 0645.05061
Harary, Frank; Hayes, John P.; Wu, Horng-Jyh
82
1988
Double domination in graphs. Zbl 0993.05104
Harary, Frank; Haynes, Teresa W.
82
2000
The two-triangle case of the acquaintance graph. Zbl 0235.05105
Harary, Frank
79
1972
Generalizations of the matching polynomial. Zbl 0527.05055
Gutman, Ivan; Harary, Frank
73
1983
Domination alteration sets in graphs. Zbl 0524.05040
Bauer, Douglas; Harary, Frank; Nieminen, Juhani; Suffel, Charles L.
68
1983
The maximum connectivity of a graph. Zbl 0115.41003
Harary, Frank
68
1962
Additivity of the genus of a graph. Zbl 0142.41501
Battle, J.; Harary, Frank; Kodama, Y.; Youngs, J. W. T.
65
1962
Covering and packing in graphs. I. Zbl 0226.05119
Harary, Frank
64
1970
Generalized Ramsey theory for graphs. III: Small off-diagonal numbers. Zbl 0227.05115
Chvátal, Václav; Harary, Frank
59
1972
Covering and packing in graphs. III: Cyclic and acyclic invariants. Zbl 0458.05050
Akiyama, Jin; Exoo, Geoffrey; Harary, Frank
57
1980
On the geodetic number of a graph. Zbl 0987.05047
Chartrand, Gary; Harary, Frank; Zhang, Ping
52
2002
The geodetic number of a graph. Zbl 0825.68490
Harary, Frank; Loukakis, Emmanuel; Tsouros, Constantine
50
1993
Convexity in graphs. Zbl 0493.05037
Harary, Frank; Nieminen, Juhani
46
1981
An interpolation theorem for graphical homomorphisms. Zbl 0187.20903
Harary, Frank; Hedetniemi, S.; Prins, G.
46
1967
Perfect-matching preclusion. Zbl 1091.05057
Brigham, Robert C.; Harary, Frank; Violin, Elizabeth C.; Yellen, Jay
44
2005
The determinant of the adjacency matrix of a graph. Zbl 0113.17406
Harary, Frank
44
1962
On double and multiple interval graphs. Zbl 0417.05050
Trotter, William T. jun.; Harary, Frank
42
1979
Covering and packing in graphs. IV: Linear arboricity. Zbl 0479.05027
Akiyama, Jin; Exoo, Geoffrey; Harary, Frank
38
1981
Some properties of line digraphs. Zbl 0099.18205
Harary, Frank; Norman, Robert Z.
38
1960
The theory of round robin tournaments. Zbl 0142.41602
Harary, Frank; Moser, Leo
38
1966
On the tree graph of a matroid. Zbl 0249.05102
Holzmann, Carlos A.; Harary, Frank
37
1972
Uniquely colorable graphs. Zbl 0175.50205
Harary, Frank; Hedetniemi, S. T.; Robinson, R. W.
36
1969
The enumeration of tree-like polyhexes. Zbl 0201.26104
Harary, Frank; Read, Ronald C.
36
1970
The number of linear, directed, rooted and connected graphs. Zbl 0065.16702
Harary, Frank
35
1955
Knots and graphs. I: Arc graphs and colorings. Zbl 1128.57301
Harary, Frank; Kauffman, Louis H.
35
1999
The number of caterpillars. Zbl 0266.05102
Harary, Frank; Schwenk, Allen J.
35
1973
On acyclic simplicial complexes. Zbl 0157.54903
Harary, Frank; Palmer, Edgar M.
35
1968
Radio labelings of graphs. Zbl 0989.05102
Chartrand, Gary; Erwin, David; Zhang, Ping; Harary, Frank
34
2001
Nordhaus-Gaddum inequalities for domination in graphs. Zbl 0856.05053
Harary, Frank; Haynes, Teresa W.
34
1996
The achromatic number of a graph. Zbl 0195.25702
Harary, Frank; Hedetniemi, Stephen
34
1970
Edge fault tolerance in graphs. Zbl 0796.05046
Harary, Frank; Hayes, John P.
33
1993
Generalized Ramsey theory for graphs. II: Small diagonal numbers. Zbl 0229.05116
Chvátal, Václav; Harary, Frank
33
1972
Extremal animals. Zbl 0402.05055
Harary, Frank; Harborth, Heiko
33
1976
On the computer enumeration of finite topologies. Zbl 0166.01003
Evans, J. W.; Harary, Frank; Lynn, M. S.
33
1967
Trees with Hamiltonian square. Zbl 0221.05052
Harary, Frank; Schwenk, Allen
33
1971
Cospectral graphs and digraphs. Zbl 0224.05125
Harary, Frank; King, Clarence; Mowshowitz, Abbe; Read, Ronald C.
32
1971
A characterization of block-graphs. Zbl 0112.25002
Harary, Frank
32
1963
The number of homeomorphically irreducible trees, and other species. Zbl 0084.19304
Harary, Frank; Prins, Geert
30
1959
The number of plane trees. Zbl 0126.19002
Harary, Frank; Prins, Geert; Tutte, W. T.
30
1964
On the number of crossings in a complete graph. Zbl 0118.18902
Harary, Frank; Hill, Anthony
28
1963
On the number of Husimi trees. I. Zbl 0053.13104
Harary, Frank; Uhlenbeck, George E.
27
1953
The dissimilarity characteristic of Husimi trees. Zbl 0051.40502
Harary, Frank; Norman, Robert Z.
27
1953
A simple algorithm to detect balance in signed graphs. Zbl 0497.05056
Harary, Frank; Kabell, Jerald A.
27
1980
On the Möbius ladders. Zbl 0161.20602
Guy, R. K.; Harary, Frank
27
1967
On the thickness of the complete bipartite graph. Zbl 0121.18402
Beineke, L. W.; Harary, Frank; Moon, J. W.
26
1964
The genus of the n-cube. Zbl 0127.13801
Beineke, L. W.; Harary, Frank
26
1965
Properties of almost all graphs and complexes. Zbl 0418.05050
Blass, Andreas; Harary, Frank
24
1979
Toroidal graphs with arbitrarily high crossing numbers. Zbl 0285.05104
Harary, Frank; Kainen, Paul C.; Schwenk, Allen J.
23
1973
Methods of destroying the symmetries of a graph. Zbl 1020.05033
Harary, Frank
23
2001
On the dimension of a graph. Zbl 0151.33204
Erdős, Pál; Harary, Frank; Tutte, W. T.
23
1965
On the number of cycles in a graph. Zbl 0209.55404
Harary, Frank; Manvel, B.
23
1971
On the group of the composition of two graphs. Zbl 0085.37803
Harary, Frank
22
1959
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 biparticity of a graph. Zbl 0376.05043
Harary, Frank; Hsu, Derbiau; Miller, Zevi
22
1977
On the number of bi-colored graphs. Zbl 0084.19402
Harary, Frank
21
1958
Destroying automorphisms by fixing nodes. Zbl 1109.05050
Erwin, David; Harary, Frank
21
2006
Paley graphs satisfy all first-order adjacency axioms. Zbl 0472.05058
Blass, Andreas; Exoo, Geoffrey; Harary, Frank
21
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.
21
1975
Isomorphic factorisations. I: complete graphs. Zbl 0381.05044
Harary, Frank; Robinson, Robert W.; Wormald, Nicholas C.
21
1978
The thickness of the complete graph. Zbl 0135.42104
Beineke, L. W.; Harary, Frank
21
1965
Cluster inference by using transitivity indices in empirical graphs. Zbl 0505.62043
Frank, Ove; Harary, Frank
20
1982
Boolean operations on graphs. Zbl 0152.22801
Harary, Frank; Wilcox, G. W.
20
1967
Geodetic sets in graphs. Zbl 0958.05044
Chartrand, Gary; Harary, Frank; Zhang, Ping
19
2000
A graph theoretic approach to matrix inversion by partitioning. Zbl 0109.09003
Harary, Frank
19
1962
Node fault tolerance in graphs. Zbl 0852.90081
Harary, Frank; Hayes, John P.
18
1996
Bipartite intersection graphs. Zbl 0516.05049
Harary, Frank; Kabell, Jerald A.; McMorris, F. R.
18
1982
Which graph have integral spectra? Zbl 0305.05125
Harary, Frank; Schwenk, Allen J.
18
1974
The reconstruction of a tree form its maximal subtrees. Zbl 0141.21402
Harary, Frank; Palmer, Edgar M.
18
1966
The graph reconstruction number. Zbl 0664.05043
Harary, Frank; Plantholt, Michael
17
1985
On the coloring of signed graphs. Zbl 0155.31703
Cartwright, D.; Harary, Frank
17
1968
The block-cutpoint-tree of a graph. Zbl 0168.44704
Harary, Frank; Prins, G.
17
1966
The diameter of a graph and its complement. Zbl 0565.05046
Harary, Frank; Robinson, Robert W.
16
1985
Extremal results on the geodetic number of a graph. Zbl 0744.05021
Buckley, Fred; Harary, Frank; Quintas, Louis V.
16
1988
The communication problem on graphs. Zbl 0307.05118
Harary, Frank; Schwenk, Allen J.
16
1974
Sum graphs over all the integers. Zbl 0797.05069
Harary, Frank
15
1994
Regular graphs with given girth pair. Zbl 0542.05041
Harary, Frank; Kovács, Peter
14
1983
Graphs as models of communication network vulnerability: Connectivity and persistence. Zbl 0471.05041
Boesch, Frank T.; Harary, Frank; Kabell, Jerald A.
14
1981
On the cell-growth problem for arbitrary polygons. Zbl 0301.05119
Harary, Frank; Palmer, Edgar M.; Read, Ronald C.
14
1975
Which nonnegative matrices are self-inverse. Zbl 0321.15008
Harary, Frank; Minc, Henryk
14
1976
Outerplanar graphs and weak duals. Zbl 0352.05029
Fleischner, Herbert J.; Geller, Dennis P.; Harary, Frank
14
1975
Every planar graph with nine points has a nonplanar complement. Zbl 0114.14602
Battle, J.; Harary, Frank; Kodama, Y.
14
1962
On similar points of a graph. Zbl 0141.21404
Harary, Frank; Palmer, Edgar M.
14
1966
Isomorphic factorizations. X: Unsolved problems. Zbl 0617.05051
Harary, Frank; Robinson, Robert W.
13
1985
Subcube fault-tolerance in hypercubes. Zbl 0785.68006
Graham, Niall; Harary, Frank; Livingston, Marilynn; Stout, Quentin F.
13
1993
The number of functional digraphs. Zbl 0087.38703
Harary, Frank
13
1959
Classification of interpolation theorems for spanning trees and other families of spanning subgraphs. Zbl 0699.05021
Harary, Frank; Plantholt, Michael J.
13
1989
The automorphism group of a hypercube. Zbl 0960.68130
Harary, Frank
13
2000
Generalized Ramsey theory for graphs, X: Double stars. Zbl 0434.05052
Grossman, Jerrold W.; Harary, Frank; Klawe, Maria
13
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
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
21
2006
Partitions into sum-free sets. Zbl 1134.11312
Blanchard, Peter F.; Harary, Frank; Reis, Rogério
6
2006
Perfect-matching preclusion. Zbl 1091.05057
Brigham, Robert C.; Harary, Frank; Violin, Elizabeth C.; Yellen, Jay
44
2005
Identity orientation of complete bipartite graphs. Zbl 1060.05071
Harary, Frank; Ranjan, Desh
2
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
52
2002
Signed graphs for portfolio analysis in risk management. Zbl 1065.91025
Harary, Frank; Lim, Meng-Hiot; Wunsch, Donald C.
6
2002
Unsolved problems on distance in graphs. Zbl 1075.05521
Buckley, Fred; Harary, Frank
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
A symmetric strategy in graph avoidance games. Zbl 1046.91013
Harary, Frank; Slany, Wolfgang; Verbitsky, Oleg
2
2002
Radio labelings of graphs. Zbl 0989.05102
Chartrand, Gary; Erwin, David; Zhang, Ping; Harary, Frank
34
2001
Methods of destroying the symmetries of a graph. Zbl 1020.05033
Harary, Frank
23
2001
Geodomination in graphs. Zbl 0969.05048
Chartrand, Gary; Harary, Frank; Swart, Henda C.; Zhang, Ping
11
2001
Destroying symmetry by orienting edges: Complete graphs and complete bigraphs. Zbl 1001.05062
Harary, Frank; Jacobson, Michael S.
4
2001
One-color triangle avoidance games. Zbl 0990.91008
Cater, Steven C.; Harary, Frank; Robinson, Robert W.
3
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.
82
2000
Geodetic sets in graphs. Zbl 0958.05044
Chartrand, Gary; Harary, Frank; Zhang, Ping
19
2000
The automorphism group of a hypercube. Zbl 0960.68130
Harary, Frank
13
2000
On the hull number of a graph. Zbl 1064.05049
Chartrand, Gary; Harary, Frank; Zhang, Ping
10
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.
35
1999
On the out-domination and in-domination numbers of a digraph. Zbl 0978.05057
Chartrand, Gary; Harary, Frank; Yue, Bill Quan
11
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.
9
1998
Designs from graph invariants. Zbl 1217.05042
Harary, Frank
4
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
2
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
11
1997
Dynamic graph models. Zbl 0879.68085
Harary, F.; Gupta, G.
9
1997
The color cost of a caterpillar. Zbl 0887.05018
Gionfriddo, Mario; Harary, Frank; Tuza, Zsolt
4
1997
Some small sized spanning subgraphs of a hypercube. Zbl 0931.90005
Graham, N.; Harary, F.
3
1997
The e-mail gossip number and the connected domination number. Zbl 0883.05079
Harary, F.; Raghavachari, B.
1
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
Nordhaus-Gaddum inequalities for domination in graphs. Zbl 0856.05053
Harary, Frank; Haynes, Teresa W.
34
1996
Node fault tolerance in graphs. Zbl 0852.90081
Harary, Frank; Hayes, John P.
18
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.
2
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
11
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.
2
1995
One node fault tolerance for caterpillars and starlike trees. Zbl 0847.68081
Harary, Frank; Khurrum, Mohammed
2
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
Sum graphs over all the integers. Zbl 0797.05069
Harary, Frank
15
1994
The square of a chordal graph. Zbl 0795.05118
Harary, Frank; McKee, Terry A.
8
1994
Forced orientation numbers of a graph. Zbl 0836.05043
Chartrand, Gary; Harary, Frank; Schultz, Michelle; Wall, Curtiss E.
6
1994
On signed degrees in signed graphs. Zbl 0837.05110
Chartrand, Gary; Gavlas, Heather; Harary, Frank; Schultz, Michelle
4
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
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
50
1993
Edge fault tolerance in graphs. Zbl 0796.05046
Harary, Frank; Hayes, John P.
33
1993
Subcube fault-tolerance in hypercubes. Zbl 0785.68006
Graham, Niall; Harary, Frank; Livingston, Marilynn; Stout, Quentin F.
13
1993
Independent domination in hypercubes. Zbl 0780.05031
Harary, Frank; Livingston, Marilynn
9
1993
Abstract sphere-of-influence graphs. Zbl 0791.05087
Harary, Frank; Jacobson, Michael S.; Lipman, Marc J.; McMorris, F. R.
8
1993
The neighborhood inclusion structure of a graph. Zbl 0795.05119
Boesch, Frank; Suffel, Charles; Tindell, Ralph; Harary, Frank
7
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
Three new directions in graph theory. Zbl 0854.05044
Harary, Frank
3
1993
Is Snaky a winner? Zbl 0847.05039
Harary, Frank
2
1993
Spanning subgraphs of a hypercube. IV: Rooted trees. Zbl 0791.05020
Harary, Frank; Lewinter, Martin
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
Subtree acyclic digraphs. Zbl 0770.05084
Harary, Frank; Kabell, Jerald A.; McMorris, F. R.
4
1992
Product graphs are sum graphs. Zbl 0785.05075
Bergstrand, Deborah; Hodges, Ken; Jennings, George; Kuklinski, Lisa; Wiener, Janet; Harary, Frank
3
1992
Counting free binary trees admitting a given height. Zbl 1230.05162
Harary, Frank; Palmer, Edgar M.; Robinson, Robert W.
1
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.
13
1991
Recent results and unsolved problems on hypercube theory. Zbl 0840.05092
Harary, Frank
12
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
275
1990
Extremal competition numbers as a generalization of Turán’s theorem. Zbl 0721.05034
Harary, Frank; Kim, Suh-Ryung; Roberts, Fred S.
5
1990
Sum graphs and difference graphs. Zbl 0691.05038
Harary, Frank
4
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.
13
1989
The sum number of a complete graph. Zbl 0702.05072
Bergstrand, Deborah; Hodges, Ken; Jennings, George; Kuklinski, Lisa; Wiener, Janet; Harary, Frank
9
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
On the point linear arboricity of a graph. Zbl 0741.05024
Harary, Frank; Maddox, Randall; Staton, William
1
1989
The geometric dual of a graph. Zbl 0712.05041
Harary, Frank
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
82
1988
Extremal results on the geodetic number of a graph. Zbl 0744.05021
Buckley, Fred; Harary, Frank; Quintas, Louis V.
16
1988
On graphs with signed inverses. Zbl 0646.05061
Buckley, Fred; Doty, Lynne L.; Harary, Frank
9
1988
On the Euclidean dimension of a wheel. Zbl 0642.05018
Buckley, Fred; Harary, Frank
8
1988
The starlike trees which span a hypercube. Zbl 0645.05032
Harary, Frank; Lewinter, Martin
8
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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