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: 267 Co-Authors with 444 Joint Publications 6,514 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 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 L. 2 Tomescu, Ioan 2 Tsouros, Constantine ...and 206 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 435 Publications have been cited 9,646 times in 7,762 Documents Cited by ▼ Year ▼ Graph theory. Zbl 0182.57702Harary, Frank 1,297 1969 Parallel concepts in graph theory. Zbl 0797.05064Harary, F. 1,146 1993 On the metric dimension of a graph. Zbl 0349.05118Harary, Frank; Melter, Robert A. 412 1976 Distance in graphs. Zbl 0688.05017Buckley, Fred; Harary, Frank 363 1990 Graphical enumeration. Zbl 0266.05108Harary, Frank; Palmer, Edgar M. 311 1973 On the notion of balance of a signed graph. Zbl 0056.42103Harary, Frank 271 1954 Structural models: An introduction to the theory of directed graphs. Zbl 0139.41503Harary, Frank; Norman, Robert Z.; Cartwright, Dorwin 270 1965 On Eulerian and Hamiltonian graphs and line graphs. Zbl 0136.44704Harary, Frank; Nash-Williams, C. S. J. A. 199 1965 Conditional connectivity. Zbl 0514.05038Harary, Frank 172 1983 On the corona of two graphs. Zbl 0198.29302Frucht, Roberto; Harary, Frank 166 1970 Planar permutation graphs. Zbl 0162.27605Chartrand, G.; Harary, Frank 127 1967 The two-triangle case of the acquaintance graph. Zbl 0235.05105Harary, Frank 116 1972 Double domination in graphs. Zbl 0993.05104Harary, Frank; Haynes, Teresa W. 105 2000 A survey of the theory of hypercube graphs. Zbl 0645.05061Harary, Frank; Hayes, John P.; Wu, Horng-Jyh 98 1988 The Greek alphabet of ’Graph Theory’. Zbl 0196.27202Harary, Frank 85 1969 On the geodetic number of a graph. Zbl 0987.05047Chartrand, Gary; Harary, Frank; Zhang, Ping 82 2002 Generalizations of the matching polynomial. Zbl 0527.05055Gutman, Ivan; Harary, Frank 81 1983 Domination alteration sets in graphs. Zbl 0524.05040Bauer, Douglas; Harary, Frank; Nieminen, Juhani; Suffel, Charles L. 80 1983 The geodetic number of a graph. Zbl 0825.68490Harary, Frank; Loukakis, Emmanuel; Tsouros, Constantine 78 1993 Generalized Ramsey theory for graphs. III: Small off-diagonal numbers. Zbl 0227.05115Chvátal, Václav; Harary, Frank 77 1972 Additivity of the genus of a graph. Zbl 0142.41501Battle, J.; Harary, Frank; Kodama, Y.; Youngs, J. W. T. 73 1962 Covering and packing in graphs. I. Zbl 0226.05119Harary, Frank 71 1970 The maximum connectivity of a graph. Zbl 0115.41003Harary, Frank 71 1962 Covering and packing in graphs. III: Cyclic and acyclic invariants. Zbl 0458.05050Akiyama, Jin; Exoo, Geoffrey; Harary, Frank 67 1980 Perfect-matching preclusion. Zbl 1091.05057Brigham, Robert C.; Harary, Frank; Violin, Elizabeth C.; Yellen, Jay 57 2005 Convexity in graphs. Zbl 0493.05037Harary, Frank; Nieminen, Juhani 54 1981 The determinant of the adjacency matrix of a graph. Zbl 0113.17406Harary, Frank 54 1962 An interpolation theorem for graphical homomorphisms. Zbl 0187.20903Harary, Frank; Hedetniemi, S.; Prins, G. 49 1967 The theory of round robin tournaments. Zbl 0142.41602Harary, Frank; Moser, Leo 49 1966 Some properties of line digraphs. Zbl 0099.18205Harary, Frank; Norman, Robert Z. 47 1960 Radio labelings of graphs. Zbl 0989.05102Chartrand, Gary; Erwin, David; Zhang, Ping; Harary, Frank 46 2001 Covering and packing in graphs. IV: Linear arboricity. Zbl 0479.05027Akiyama, Jin; Exoo, Geoffrey; Harary, Frank 45 1981 On double and multiple interval graphs. Zbl 0417.05050Trotter, William T. jun.; Harary, Frank 45 1979 The number of caterpillars. Zbl 0266.05102Harary, Frank; Schwenk, Allen J. 43 1973 On acyclic simplicial complexes. Zbl 0157.54903Harary, Frank; Palmer, Edgar M. 40 1968 Nordhaus-Gaddum inequalities for domination in graphs. Zbl 0856.05053Harary, Frank; Haynes, Teresa W. 39 1996 Knots and graphs. I: Arc graphs and colorings. Zbl 1128.57301Harary, Frank; Kauffman, Louis H. 39 1999 Extremal animals. Zbl 0402.05055Harary, Frank; Harborth, Heiko 39 1976 On the number of Husimi trees. I. Zbl 0053.13104Harary, Frank; Uhlenbeck, George E. 39 1953 Uniquely colorable graphs. Zbl 0175.50205Harary, Frank; Hedetniemi, S. T.; Robinson, R. W. 38 1969 On the tree graph of a matroid. Zbl 0249.05102Holzmann, Carlos A.; Harary, Frank 38 1972 On the computer enumeration of finite topologies. Zbl 0166.01003Evans, J. W.; Harary, Frank; Lynn, M. S. 37 1967 The achromatic number of a graph. Zbl 0195.25702Harary, Frank; Hedetniemi, Stephen 37 1970 The enumeration of tree-like polyhexes. Zbl 0201.26104Harary, Frank; Read, Ronald C. 37 1970 The number of linear, directed, rooted and connected graphs. Zbl 0065.16702Harary, Frank 37 1955 Which graph have integral spectra? Zbl 0305.05125Harary, Frank; Schwenk, Allen J. 36 1974 A characterization of block-graphs. Zbl 0112.25002Harary, Frank 36 1963 On the number of crossings in a complete graph. Zbl 0118.18902Harary, Frank; Hill, Anthony 36 1963 A simple algorithm to detect balance in signed graphs. Zbl 0497.05056Harary, Frank; Kabell, Jerald A. 35 1980 Cospectral graphs and digraphs. Zbl 0224.05125Harary, Frank; King, Clarence; Mowshowitz, Abbe; Read, Ronald C. 35 1971 Generalized Ramsey theory for graphs. II: Small diagonal numbers. Zbl 0229.05116Chvátal, Václav; Harary, Frank 35 1972 Edge fault tolerance in graphs. Zbl 0796.05046Harary, Frank; Hayes, John P. 34 1993 Trees with Hamiltonian square. Zbl 0221.05052Harary, Frank; Schwenk, Allen 34 1971 The number of plane trees. Zbl 0126.19002Harary, Frank; Prins, Geert; Tutte, W. T. 33 1964 Methods of destroying the symmetries of a graph. Zbl 1020.05033Harary, Frank 32 2001 On the Möbius ladders. Zbl 0161.20602Guy, R. K.; Harary, Frank 32 1967 The number of homeomorphically irreducible trees, and other species. Zbl 0084.19304Harary, Frank; Prins, Geert 31 1959 The dissimilarity characteristic of Husimi trees. Zbl 0051.40502Harary, Frank; Norman, Robert Z. 30 1953 Properties of almost all graphs and complexes. Zbl 0418.05050Blass, Andreas; Harary, Frank 29 1979 On the group of the composition of two graphs. Zbl 0085.37803Harary, Frank 28 1959 On the thickness of the complete bipartite graph. Zbl 0121.18402Beineke, L. W.; Harary, Frank; Moon, J. W. 28 1964 The genus of the n-cube. Zbl 0127.13801Beineke, L. W.; Harary, Frank 27 1965 Paley graphs satisfy all first-order adjacency axioms. Zbl 0472.05058Blass, Andreas; Exoo, Geoffrey; Harary, Frank 26 1981 Destroying automorphisms by fixing nodes. Zbl 1109.05050Erwin, David; Harary, Frank 26 2006 Toroidal graphs with arbitrarily high crossing numbers. Zbl 0285.05104Harary, Frank; Kainen, Paul C.; Schwenk, Allen J. 26 1973 On the dimension of a graph. Zbl 0151.33204Erdős, Pál; Harary, Frank; Tutte, W. T. 25 1965 Boolean operations on graphs. Zbl 0152.22801Harary, Frank; Wilcox, G. W. 25 1967 On the number of cycles in a graph. Zbl 0209.55404Harary, Frank; Manvel, B. 25 1971 The biparticity of a graph. Zbl 0376.05043Harary, Frank; Hsu, Derbiau; Miller, Zevi 24 1977 The block-cutpoint-tree of a graph. Zbl 0168.44704Harary, Frank; Prins, G. 24 1966 Every planar graph with nine points has a nonplanar complement. Zbl 0114.14602Battle, J.; Harary, Frank; Kodama, Y. 24 1962 Extremal results on the geodetic number of a graph. Zbl 0744.05021Buckley, Fred; Harary, Frank; Quintas, Louis V. 23 1988 Geodetic sets in graphs. Zbl 0958.05044Chartrand, Gary; Harary, Frank; Zhang, Ping 23 2000 On the coloring of signed graphs. Zbl 0155.31703Cartwright, D.; Harary, Frank 22 1968 A graph theoretic method for the complete reduction of a matrix with a view toward finding its eigenvalues. Zbl 0087.01701Harary, Frank 22 1959 The thickness of the complete graph. Zbl 0135.42104Beineke, L. W.; Harary, Frank 22 1965 Cluster inference by using transitivity indices in empirical graphs. Zbl 0505.62043Frank, Ove; Harary, Frank 21 1982 Sum graphs over all the integers. Zbl 0797.05069Harary, Frank 21 1994 Twenty-step algorithm for determining the asymptotic number of trees of various species. Zbl 0319.05102Harary, Frank; Robinson, Robert W.; Schwenk, Allen J. 21 1975 Isomorphic factorisations. I: complete graphs. Zbl 0381.05044Harary, Frank; Robinson, Robert W.; Wormald, Nicholas C. 21 1978 On the number of bi-colored graphs. Zbl 0084.19402Harary, Frank 21 1958 Recent results and unsolved problems on hypercube theory. Zbl 0840.05092Harary, Frank 20 1991 Graph theory and theoretical physics. Zbl 0202.55602 20 1967 Bipartite intersection graphs. Zbl 0516.05049Harary, Frank; Kabell, Jerald A.; McMorris, F. R. 19 1982 Node fault tolerance in graphs. Zbl 0852.90081Harary, Frank; Hayes, John P. 19 1996 Which nonnegative matrices are self-inverse. Zbl 0321.15008Harary, Frank; Minc, Henryk 19 1976 Geodomination in graphs. Zbl 0969.05048Chartrand, Gary; Harary, Frank; Swart, Henda C.; Zhang, Ping 19 2001 A graph theoretic approach to matrix inversion by partitioning. Zbl 0109.09003Harary, Frank 19 1962 The diameter of a graph and its complement. Zbl 0565.05046Harary, Frank; Robinson, Robert W. 18 1985 The reconstruction of a tree form its maximal subtrees. Zbl 0141.21402Harary, Frank; Palmer, Edgar M. 18 1966 Generalized Ramsey theory for graphs, X: Double stars. Zbl 0434.05052Grossman, Jerrold W.; Harary, Frank; Klawe, Maria 17 1979 The communication problem on graphs. Zbl 0307.05118Harary, Frank; Schwenk, Allen J. 17 1974 Outerplanar graphs and weak duals. Zbl 0352.05029Fleischner, Herbert J.; Geller, Dennis P.; Harary, Frank 17 1975 The graph reconstruction number. Zbl 0664.05043Harary, Frank; Plantholt, Michael 17 1985 The spectral approach to determining the number of walks in a graph. Zbl 0417.05032Harary, Frank; Schwenk, Allen J. 16 1979 On the hull number of a graph. Zbl 1064.05049Chartrand, Gary; Harary, Frank; Zhang, Ping 16 2000 What is the difference between the domination and independent domination numbers of a cubic graph? Zbl 0728.05033Barefoot, Curtiss; Harary, Frank; Jones, Kathryn F. 16 1991 A seminar on graph theory. Zbl 0159.54104 16 1967 The number of functional digraphs. Zbl 0087.38703Harary, Frank 16 1959 The line-distinguishing chromatic number of a graph. Zbl 0505.05033Frank, Ove; Harary, Frank; Plantholt, Michael 15 1982 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 1210.05031Ferrero, Daniela; Harary, Frank 1 2009 Lune-free knot graphs. Zbl 1221.57003Eliahou, Shalom; Harary, Frank; Kauffman, Louis H. 8 2008 Destroying automorphisms by fixing nodes. Zbl 1109.05050Erwin, David; Harary, Frank 26 2006 Partitions into sum-free sets. Zbl 1134.11312Blanchard, Peter F.; Harary, Frank; Reis, Rogério 7 2006 Perfect-matching preclusion. Zbl 1091.05057Brigham, Robert C.; Harary, Frank; Violin, Elizabeth C.; Yellen, Jay 57 2005 Identity orientation of complete bipartite graphs. Zbl 1060.05071Harary, Frank; Ranjan, Desh 3 2005 On the computational complexity of the forcing chromatic number. Zbl 1118.68508Harary, Frank; Slany, Wolfgang; Verbitsky, Oleg 1 2005 On the lengths of symmetry breaking-preserving games on graphs. Zbl 1105.91009Harary, F.; Slany, W.; Verbitsky, O. 1 2004 Edge sums of de Bruijn interconnection networks. Zbl 1036.05042Ferrero, Daniela; Harary, Frank 1 2003 On the geodetic number of a graph. Zbl 0987.05047Chartrand, Gary; Harary, Frank; Zhang, Ping 82 2002 Signed graphs for portfolio analysis in risk management. Zbl 1065.91025Harary, Frank; Lim, Meng-Hiot; Wunsch, Donald C. 7 2002 Unsolved problems on distance in graphs. Zbl 1075.05521Buckley, Fred; Harary, Frank 4 2002 A symmetric strategy in graph avoidance games. Zbl 1046.91013Harary, Frank; Slany, Wolfgang; Verbitsky, Oleg 3 2002 A radio coloring of a hypercube. Zbl 1001.05053Frieder, Ophir; Harary, Frank; Wan, Peng-Jun 2 2002 Graph theory and geography. An interactive view. Zbl 1161.05345Arlinghaus, Sandra; Arlinghaus, William C.; Harary, Frank 2 2002 Radio labelings of graphs. Zbl 0989.05102Chartrand, Gary; Erwin, David; Zhang, Ping; Harary, Frank 46 2001 Methods of destroying the symmetries of a graph. Zbl 1020.05033Harary, Frank 32 2001 Geodomination in graphs. Zbl 0969.05048Chartrand, Gary; Harary, Frank; Swart, Henda C.; Zhang, Ping 19 2001 Destroying symmetry by orienting edges: Complete graphs and complete bigraphs. Zbl 1001.05062Harary, Frank; Jacobson, Michael S. 5 2001 One-color triangle avoidance games. Zbl 0990.91008Cater, Steven C.; Harary, Frank; Robinson, Robert W. 4 2001 The Shields-Harary indices of vulnerability of a graph. Zbl 1001.05071Harary, F.; Johnson, P. D. jun. 2 2001 Double domination in graphs. Zbl 0993.05104Harary, Frank; Haynes, Teresa W. 105 2000 Geodetic sets in graphs. Zbl 0958.05044Chartrand, Gary; Harary, Frank; Zhang, Ping 23 2000 On the hull number of a graph. Zbl 1064.05049Chartrand, Gary; Harary, Frank; Zhang, Ping 16 2000 The automorphism group of a hypercube. Zbl 0960.68130Harary, Frank 15 2000 Handicap achievement for polyominoes. Zbl 0976.05022Harary, Frank; Harborth, Heiko; Seemann, Markus 3 2000 How large can the domination numbers of a graph be? Zbl 0951.05073Chartrand, Gary; Eroh, Linda; Harary, Frank; Zhang, Ping 1 2000 Knots and graphs. I: Arc graphs and colorings. Zbl 1128.57301Harary, Frank; Kauffman, Louis H. 39 1999 On the out-domination and in-domination numbers of a digraph. Zbl 0978.05057Chartrand, Gary; Harary, Frank; Yue, Bill Quan 14 1999 Graphs whose radio coloring number equals the number of nodes. Zbl 0941.05023Harary, Frank; Plantholt, Michael 2 1999 Every graph of cyclic bandwidth 3 is toroidal. Zbl 0938.05025Harary, Frank; Kainen, Paul C.; Riskin, Adrian 1 1999 The \(k\)-tuple domatic number of a graph. Zbl 0937.05060Harary, Frank; Haynes, Teresa W. 12 1998 Designs from graph invariants. Zbl 1217.05042Harary, Frank 5 1998 The difference between a graph and its square. Zbl 0915.05071Aingworth, Donald; Motwani, Rajeev; Harary, Frank 3 1998 Extremal problems in geodetic graph theory. Zbl 0951.05056Chartrand, Gary; Zhang, Ping; Harary, Frank 3 1998 Efficient and excess domination in graphs. Zbl 0903.05032Harary, Frank; Haynes, Teresa W.; Slater, Peter J. 1 1998 Breaking symmetry in complete graphs by orienting edges: asymptotic bounds. Zbl 1339.05198Harary, Frank; Ranjan, Desh 1 1998 The forcing domination number of a graph. Zbl 0906.05035Chartrand, Gary; Gavlas, Heather; Vandell, Robert C.; Harary, Frank 15 1997 Dynamic graph models. Zbl 0879.68085Harary, F.; Gupta, G. 11 1997 Some small sized spanning subgraphs of a hypercube. Zbl 0931.90005Graham, N.; Harary, F. 4 1997 The color cost of a caterpillar. Zbl 0887.05018Gionfriddo, Mario; Harary, Frank; Tuza, Zsolt 4 1997 The irregularity cost of a graph. Zbl 0901.05086Harary, F.; Oellermann, O. R. 1 1997 Filling the missing names of towns in a map: A graph theoretic approach. Zbl 0909.05041Harary, Frank; Morgana, Aurora; Simeone, Bruno 1 1997 The e-mail gossip number and the connected domination number. Zbl 0883.05079Harary, F.; Raghavachari, B. 1 1997 Nordhaus-Gaddum inequalities for domination in graphs. Zbl 0856.05053Harary, Frank; Haynes, Teresa W. 39 1996 Node fault tolerance in graphs. Zbl 0852.90081Harary, Frank; Hayes, John P. 19 1996 A study of maximum unit-circle caterpillars—tools for the study of the shape of adsorption patterns. Zbl 0848.05059Harary, Frank; Randolph, William; Mezey, Paul G. 3 1996 The biparticity of a graph and the four color theorem. Zbl 0847.05054Harary, Frank 1 1996 Size in maximal triangle-free graphs and minimal graphs of diameter 2. Zbl 0821.05031Barefoot, Curtiss; Casey, Karen; Fisher, David; Fraughnaugh, Kathryn; Harary, Frank 14 1995 Exact 2-step domination in graphs. Zbl 0863.05050Chartrand, Gary; Harary, Frank; Hossain, Moazzem; Schultz, Kelly 5 1995 Conditional graph theory. IV: Dominating sets. Zbl 0838.05066Harary, Frank; Haynes, Teresa W. 3 1995 One node fault tolerance for caterpillars and starlike trees. Zbl 0847.68081Harary, Frank; Khurrum, Mohammed 2 1995 Achievement and avoidance of a strong orientation of a graph. Zbl 0904.05033Chartrand, Gary; Harary, Frank; Schultz, Michelle; VanderJagt, Donald W. 2 1995 Sum graphs over all the integers. Zbl 0797.05069Harary, Frank 21 1994 The square of a chordal graph. Zbl 0795.05118Harary, Frank; McKee, Terry A. 9 1994 On signed degrees in signed graphs. Zbl 0837.05110Chartrand, Gary; Gavlas, Heather; Harary, Frank; Schultz, Michelle 7 1994 Forced orientation numbers of a graph. Zbl 0836.05043Chartrand, Gary; Harary, Frank; Schultz, Michelle; Wall, Curtiss E. 6 1994 Sphere of influence graphs defined on a prescribed graph. Zbl 0860.05033Harary, Frank; Jacobson, Michael S.; Lipman, Marc J.; McMorris, F. R. 1 1994 Minimum degree games for graphs. Zbl 0801.90148Gordon, Daniel M.; Robinson, Robert W.; Harary, Frank 1 1994 Parallel concepts in graph theory. Zbl 0797.05064Harary, F. 1,146 1993 The geodetic number of a graph. Zbl 0825.68490Harary, Frank; Loukakis, Emmanuel; Tsouros, Constantine 78 1993 Edge fault tolerance in graphs. Zbl 0796.05046Harary, Frank; Hayes, John P. 34 1993 Subcube fault-tolerance in hypercubes. Zbl 0785.68006Graham, Niall; Harary, Frank; Livingston, Marilynn; Stout, Quentin F. 15 1993 Independent domination in hypercubes. Zbl 0780.05031Harary, Frank; Livingston, Marilynn 13 1993 The neighborhood inclusion structure of a graph. Zbl 0795.05119Boesch, Frank; Suffel, Charles; Tindell, Ralph; Harary, Frank 9 1993 Abstract sphere-of-influence graphs. Zbl 0791.05087Harary, Frank; Jacobson, Michael S.; Lipman, Marc J.; McMorris, F. R. 8 1993 Three new directions in graph theory. Zbl 0854.05044Harary, Frank 4 1993 Vulnerability in graphs of diameter four. Zbl 0791.05033Exoo, Geoffrey; Harary, Frank; Xu, Cheng-De 4 1993 Spanning subgraphs of a hypercube. IV: Rooted trees. Zbl 0791.05020Harary, Frank; Lewinter, Martin 4 1993 Two graph-colouring games. Zbl 0788.05045Harary, Frank; Tuza, Zsolt 4 1993 Is Snaky a winner? Zbl 0847.05039Harary, Frank 2 1993 Quantifying fault recovery in multiprocessor systems. Zbl 0825.68225Harary, Frank; Malek, Miroslaw 1 1993 Realizing the chromatic numbers of triangulations of surfaces. Zbl 0791.05026Harary, Frank; Lawrencenko, Serge; Korzhik, Vladimir 1 1993 The cube of a path is maximal planar. Zbl 0804.05046Harary, Frank; Kainen, Paul C. 1 1993 The irregularity cost or sum of a graph. Zbl 0780.05052Harary, Frank; Jacobson, Michael S.; Kubicka, Ewa; Kubicki, Grzegorz; Oellermann, Ortrud R. 1 1993 Changing and unchanging the diameter of a hypercube. Zbl 0756.94021Graham, Niall; Harary, Frank 10 1992 Product graphs are sum graphs. Zbl 0785.05075Bergstrand, Deborah; Hodges, Ken; Jennings, George; Kuklinski, Lisa; Wiener, Janet; Harary, Frank 5 1992 Subtree acyclic digraphs. Zbl 0770.05084Harary, Frank; Kabell, Jerald A.; McMorris, F. R. 4 1992 Counting free binary trees admitting a given height. Zbl 1230.05162Harary, Frank; Palmer, Edgar M.; Robinson, Robert W. 1 1992 Recent results and unsolved problems on hypercube theory. Zbl 0840.05092Harary, Frank 20 1991 What is the difference between the domination and independent domination numbers of a cubic graph? Zbl 0728.05033Barefoot, Curtiss; Harary, Frank; Jones, Kathryn F. 16 1991 Changing and unchanging the domination number of a graph. Zbl 0736.05067Carrington, Julie; Harary, Frank; Haynes, Teresa W. 7 1991 Spanning subgraphs of a hypercube. VI: Survey and unsolved problems. Zbl 0840.05091Harary, Frank; Lewinter, Martin 3 1991 Digitizing sum graphs over the reals. Zbl 0835.05075Harary, F.; Hentzel, I. R.; Jacobs, D. P. 2 1991 Distance in graphs. Zbl 0688.05017Buckley, Fred; Harary, Frank 363 1990 Sum graphs and difference graphs. Zbl 0691.05038Harary, Frank 14 1990 Extremal competition numbers as a generalization of Turán’s theorem. Zbl 0721.05034Harary, Frank; Kim, Suh-Ryung; Roberts, Fred S. 5 1990 Interval acyclic digraphs. Zbl 0711.05024Harary, Frank; Kabell, Jerald A.; McMorris, F. R. 3 1990 Classification of interpolation theorems for spanning trees and other families of spanning subgraphs. Zbl 0699.05021Harary, Frank; Plantholt, Michael J. 15 1989 The sum number of a complete graph. Zbl 0702.05072Bergstrand, Deborah; Hodges, Ken; Jennings, George; Kuklinski, Lisa; Wiener, Janet; Harary, Frank 10 1989 Geodetic contraction games on graphs. Zbl 0678.90098Fraenkel, A. S.; Harary, F. 4 1989 Interpolation theorems for the independence and domination numbers of spanning trees. Zbl 0681.05020Harary, F.; Schuster, S. 3 1989 The geometric dual of a graph. Zbl 0712.05041Harary, Frank 2 1989 Spanning subgraphs of a hypercube. V: A spanned subcube. Zbl 0792.05039Harary, Frank; Lewinter, Martin 1 1989 On the point linear arboricity of a graph. Zbl 0741.05024Harary, Frank; Maddox, Randall; Staton, William 1 1989 The edge-distinguishing chromatic number of paths and cycles. Zbl 0669.05031Al-Wahabi, K.; Harary, F.; Bari, R.; Ullman, D. 1 1989 A survey of the theory of hypercube graphs. Zbl 0645.05061Harary, Frank; Hayes, John P.; Wu, Horng-Jyh 98 1988 Extremal results on the geodetic number of a graph. Zbl 0744.05021Buckley, Fred; Harary, Frank; Quintas, Louis V. 23 1988 On graphs with signed inverses. Zbl 0646.05061Buckley, Fred; Doty, Lynne L.; Harary, Frank 12 1988 ...and 335 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,520 Authors 136 Harary, Frank 56 Lai, Hong-Jian 42 Rodríguez-Velazquez, Juan Alberto 42 Xiong, Liming 42 Yero, Ismael Gonzalez 41 Henning, Michael Anthony 41 Volkmann, Lutz 34 Chartrand, Gary Theodore 29 Faudree, Ralph Jasper jun. 29 Klavžar, Sandi 29 Meng, Jixiang 28 Cheng, Eddie 28 Li, Xueliang 27 Santhakumaran, Ananthapalpu PonnaiahNadar 27 Thomassen, Carsten 26 Gutman, Ivan M. 26 Ryjáček, Zdeněk 25 Naduvath, Sudev 25 Oellermann, Ortrud R. 25 Zaslavsky, Thomas 24 Alikhani, Saeid 24 Palmer, Edgar M. 23 Balbuena, Camino 23 Dehmer, Matthias 23 West, Douglas Brent 23 Yang, Weihua 22 Ramane, Harishchandra S. 22 Schelp, Richard Herbert 22 Vrána, Petr 22 Yi, Eunjeong 21 Acharya, Mukti 21 Basavanagoud, Bommanahal 21 Broersma, Hajo J. 21 Brown, Jason Ira 21 Germina, K. A. 21 Sinha, Deepa 21 Xu, Junming 20 Erdős, Pál 20 Jeyanthi, Pon 20 Mao, Yaping 19 Hsu, Lihhsing 19 Slater, Peter James 18 Chen, Zhihong 18 Nebeský, Ladislav 18 Rautenbach, Dieter 17 Dourado, Mitre Costa 17 Jafari Rad, Nader 17 Maybee, John S. 17 Robinson, Robert W. 17 Zhang, Heping 17 Zhou, Shuming 16 Hell, Pavol 16 Mora, Mercè 16 Zhan, Mingquan 15 Abrosimov, Mikhail Borisovich 15 Araujo-Pardo, Gabriela 15 Bapat, Ravindra Bhalchandra 15 Beineke, Lowell Wayne 15 Burr, Stefan A. 15 Chang, Gerard Jennhwa 15 Hedetniemi, Stephen Travis 15 Moon, John W. 15 Pirzada, Shariefuddin 15 Simić, Slobodan K. 15 Titus, P. 15 Venkatachalam, Mathiyazhagan 15 Zhang, Ping 14 Baskoro, Edy Tri 14 Caro, Yair 14 Chvátal, Václav 14 Došlić, Tomislav 14 Emmert-Streib, Frank 14 Estrada-Moreno, Alejandro 14 Hernando, Carmen 14 Jacobson, Michael Scott 14 Kuziak, Dorota 14 Pelayo, Ignacio M. 14 Ponraj, R. 14 Rousseau, Cecil C. 14 Rubio-Montiel, Christian 14 Sigarreta Almira, José María 14 Tuza, Zsolt 13 Ashrafi, Ali Reza 13 Belardo, Francesco 13 Brigham, Robert C. 13 Cangul, Ismail Naci 13 Fan, Jianxi 13 García-Vázquez, Pedro 13 Graham, Ronald Lewis 13 Haynes, Teresa W. 13 Kainen, Paul C. 13 Kauffman, Louis Hirsch 13 Mathad, Veena N. 13 Milanič, Martin 13 Pisanski, Tomaž 13 Plesník, Ján 13 Roberts, Fred S. 13 Škrekovski, Riste 13 Villarreal, Rafael Heraclio 13 Wang, Yue-Li ...and 8,420 more Authors all top 5 Cited in 614 Serials 1,117 Discrete Mathematics 629 Discrete Applied Mathematics 309 Journal of Combinatorial Theory. 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Second Series 48 AKCE International Journal of Graphs and Combinatorics 47 Electronic Journal of Graph Theory and Applications 46 European Journal of Operational Research 41 The Australasian Journal of Combinatorics 40 Journal of Computer and System Sciences 36 International Journal of Computer Mathematics 35 Mathematical and Computer Modelling 35 Palestine Journal of Mathematics 34 SIAM Journal on Algebraic and Discrete Methods 32 Proceedings of the American Mathematical Society 30 Networks 30 Transactions of the American Mathematical Society 29 Journal of Knot Theory and its Ramifications 28 Journal of Mathematical Psychology 28 Aequationes Mathematicae 28 Prikladnaya Diskretnaya Matematika 27 SIAM Journal on Discrete Mathematics 26 Advances in Applied Mathematics 26 South East Asian Journal of Mathematics and Mathematical Sciences 25 Communications in Combinatorics and Optimization 24 Journal of the Franklin Institute 24 International Journal of Foundations of Computer Science 24 Acta Mathematica Sinica. English Series 24 Journal of Applied Mathematics and Computing 23 The Journal of Mathematical Sociology 23 Transactions on Combinatorics 23 Journal of Mathematics 22 Acta Mathematicae Applicatae Sinica. English Series 22 Journal of Algebraic Combinatorics 21 Mathematical Biosciences 21 Computing 21 Discrete & Computational Geometry 21 Journal of Mathematical Sciences (New York) 21 Asian-European Journal of Mathematics 20 Journal of Algebra and its Applications 19 Periodica Mathematica Hungarica 18 Quaestiones Mathematicae 18 Computational Geometry 18 Journal of Discrete Algorithms 18 Ars Mathematica Contemporanea 17 Physica A 17 Journal of Algebra 17 Journal of Statistical Planning and Inference 17 Topology and its Applications 17 Annals of Operations Research 17 Acta Universitatis Sapientiae. Informatica 17 DML. Discrete Mathematics Letters 16 Journal of Mathematical Analysis and Applications 16 Mathematical Notes 16 Combinatorica 16 Order 16 Filomat 16 Parallel Processing Letters 15 Bulletin of Mathematical Biology 15 Archiv der Mathematik 15 Automatica 15 AIMS Mathematics 14 Israel Journal of Mathematics 14 Advances in Mathematics 14 Monatshefte für Mathematik 14 Designs, Codes and Cryptography 14 Theory of Computing Systems 14 Iranian Journal of Mathematical Chemistry 14 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 13 Information and Computation 13 Computers & Operations Research 13 Combinatorics, Probability and Computing 13 Journal of Graph Algorithms and Applications 13 International Journal of Combinatorics 12 Communications in Algebra 12 International Journal of Control 12 Indian Journal of Pure & Applied Mathematics 12 Journal of Mathematical Biology ...and 514 more Serials all top 5 Cited in 58 Fields 6,439 Combinatorics (05-XX) 1,220 Computer science (68-XX) 377 Operations research, mathematical programming (90-XX) 288 Biology and other natural sciences (92-XX) 285 Linear and multilinear algebra; matrix theory (15-XX) 256 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 175 Group theory and generalizations (20-XX) 173 Information and communication theory, circuits (94-XX) 137 Manifolds and cell complexes (57-XX) 121 Convex and discrete geometry (52-XX) 103 Probability theory and stochastic processes (60-XX) 97 Order, lattices, ordered algebraic structures (06-XX) 96 Commutative algebra (13-XX) 90 Statistics (62-XX) 82 Number theory (11-XX) 81 Mathematical logic and foundations (03-XX) 78 Numerical analysis (65-XX) 77 Systems theory; control (93-XX) 63 General topology (54-XX) 54 Statistical mechanics, structure of matter (82-XX) 51 Geometry (51-XX) 45 Dynamical systems and ergodic theory (37-XX) 41 Quantum theory (81-XX) 37 Ordinary differential equations (34-XX) 35 Associative rings and algebras (16-XX) 27 Algebraic geometry (14-XX) 24 Partial differential equations (35-XX) 19 History and biography (01-XX) 15 Nonassociative rings and algebras (17-XX) 14 General algebraic systems (08-XX) 14 Category theory; homological algebra (18-XX) 13 General and overarching topics; collections (00-XX) 13 Operator theory (47-XX) 13 Algebraic topology (55-XX) 12 Several complex variables and analytic spaces (32-XX) 12 Special functions (33-XX) 11 Mechanics of particles and systems (70-XX) 10 Difference and functional equations (39-XX) 10 Differential geometry (53-XX) 10 Mechanics of deformable solids (74-XX) 9 Functions of a complex variable (30-XX) 7 Measure and integration (28-XX) 7 Functional analysis (46-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Field theory and polynomials (12-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Relativity and gravitational theory (83-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Real functions (26-XX) 4 Approximations and expansions (41-XX) 3 Topological groups, Lie groups (22-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 Abstract harmonic analysis (43-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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