Edit Profile Harary, Frank Compute Distance To: Compute Author ID: harary.frank Published as: Harary, F.; Harary, Frank Homepage: http://www.cs.nmsu.edu/fnh/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND Documents Indexed: 569 Publications since 1949, including 18 Books Biographic References: 12 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 A. 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 Jennings, George A. 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. ...and 171 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 all top 5 Fields 415 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 436 Publications have been cited 8,984 times in 6,255 Documents Cited by ▼ Year ▼ Graph theory. Zbl 0182.57702Harary, Frank 1,751 1969 Parallel concepts in graph theory. Zbl 0797.05064Harary, F. 1,147 1993 Graphical enumeration. Zbl 0266.05108Harary, Frank; Palmer, Edgar M. 288 1973 Distance in graphs. Zbl 0688.05017Buckley, Fred; Harary, Frank 267 1990 Structural models: An introduction to the theory of directed graphs. Zbl 0139.41503Harary, Frank; Norman, R. Z.; Cartwright, D. 262 1965 On the metric dimension of a graph. Zbl 0349.05118Harary, Frank; Melter, Robert A. 230 1976 The two-triangle case of the acquaintance graph. Zbl 0235.05105Harary, Frank 215 1972 On the notion of balance of a signed graph. Zbl 0056.42103Harary, Frank 184 1954 On Eulerian and Hamiltonian graphs and line graphs. Zbl 0136.44704Harary, Frank; Nash-Williams, C. S. J. A. 172 1965 Conditional connectivity. Zbl 0514.05038Harary, Frank 126 1983 On the corona of two graphs. Zbl 0198.29302Frucht, Roberto; Harary, Frank 103 1970 Planar permutation graphs. Zbl 0162.27605Chartrand, G.; Harary, Frank 99 1967 The Greek alphabet of ’Graph Theory’. Zbl 0196.27202Harary, Frank 85 1969 A survey of the theory of hypercube graphs. Zbl 0645.05061Harary, Frank; Hayes, John P.; Wu, Horng-Jyh 80 1988 Double domination in graphs. Zbl 0993.05104Harary, Frank; Haynes, Teresa W. 75 2000 Generalizations of the matching polynomial. Zbl 0527.05055Gutman, Ivan; Harary, Frank 66 1983 The maximum connectivity of a graph. Zbl 0115.41003Harary, Frank 66 1962 Domination alteration sets in graphs. Zbl 0524.05040Bauer, Douglas; Harary, Frank; Nieminen, Juhani; Suffel, Charles L. 63 1983 Covering and packing in graphs. I. Zbl 0226.05119Harary, Frank 63 1970 Additivity of the genus of a graph. Zbl 0142.41501Battle, J.; Harary, Frank; Kodama, Y.; Youngs, J. W. T. 61 1962 Generalized Ramsey theory for graphs. III: Small off-diagonal numbers. Zbl 0227.05115Chvátal, Václav; Harary, Frank 56 1972 Covering and packing in graphs. III: Cyclic and acyclic invariants. Zbl 0458.05050Akiyama, Jin; Exoo, Geoffrey; Harary, Frank 55 1980 On the number of cycles in a graph. Zbl 0209.55404Harary, Frank; Manvel, B. 55 1971 On the geodetic number of a graph. Zbl 0987.05047Chartrand, Gary; Harary, Frank; Zhang, Ping 50 2002 The geodetic number of a graph. Zbl 0825.68490Harary, Frank; Loukakis, Emmanuel; Tsouros, Constantine 49 1993 Which graph have integral spectra? Zbl 0305.05125Harary, Frank; Schwenk, Allen J. 45 1974 Convexity in graphs. Zbl 0493.05037Harary, Frank; Nieminen, Juhani 43 1981 On double and multiple interval graphs. Zbl 0417.05050Trotter, William T. jun.; Harary, Frank 42 1979 An interpolation theorem for graphical homomorphisms. Zbl 0187.20903Harary, Frank; Hedetniemi, S.; Prins, G. 42 1967 The determinant of the adjacency matrix of a graph. Zbl 0113.17406Harary, Frank 42 1962 Perfect-matching preclusion. Zbl 1091.05057Brigham, Robert C.; Harary, Frank; Violin, Elizabeth C.; Yellen, Jay 41 2005 On the tree graph of a matroid. Zbl 0249.05102Holzmann, Carlos A.; Harary, Frank 37 1972 Covering and packing in graphs. IV: Linear arboricity. Zbl 0479.05027Akiyama, Jin; Exoo, Geoffrey; Harary, Frank 36 1981 The enumeration of tree-like polyhexes. Zbl 0201.26104Harary, Frank; Read, R. C. 35 1970 The number of linear, directed, rooted and connected graphs. Zbl 0065.16702Harary, Frank 35 1955 Knots and graphs. I: Arc graphs and colorings. Zbl 1128.57301Harary, Frank; Kauffman, Louis H. 34 1999 The number of caterpillars. Zbl 0266.05102Harary, Frank; Schwenk, Allen J. 34 1973 On acyclic simplicial complexes. Zbl 0157.54903Harary, Frank; Palmer, Edgar M. 34 1968 The theory of round robin tournaments. Zbl 0142.41602Harary, Frank; Moser, Leo 34 1966 Some properties of line digraphs. Zbl 0099.18205Harary, Frank; Norman, Robert Z. 34 1960 Nordhaus-Gaddum inequalities for domination in graphs. Zbl 0856.05053Harary, Frank; Haynes, Teresa W. 33 1996 Edge fault tolerance in graphs. Zbl 0796.05046Harary, Frank; Hayes, John P. 33 1993 The achromatic number of a graph. Zbl 0195.25702Harary, Frank; Hedetniemi, Stephen 33 1970 Uniquely colorable graphs. Zbl 0175.50205Harary, Frank; Hedetniemi, S. T.; Robinson, R. W. 33 1969 Radio labelings of graphs. Zbl 0989.05102Chartrand, Gary; Erwin, David; Zhang, Ping; Harary, Frank 32 2001 Trees with Hamiltonian square. Zbl 0221.05052Harary, Frank; Schwenk, Allen 32 1971 On the computer enumeration of finite topologies. Zbl 0166.01003Evans, J. W.; Harary, Frank; Lynn, M. S. 32 1967 A characterization of block-graphs. Zbl 0112.25002Harary, Frank 32 1963 Generalized Ramsey theory for graphs. II: Small diagonal numbers. Zbl 0229.05116Chvátal, Václav; Harary, Frank 31 1972 Extremal animals. Zbl 0402.05055Harary, Frank; Harborth, Heiko 30 1976 Cospectral graphs and digraphs. Zbl 0224.05125Harary, Frank; King, Clarence; Mowshowitz, Abbe; Read, Ronald C. 30 1971 The number of homeomorphically irreducible trees, and other species. Zbl 0084.19304Harary, Frank; Prins, Geert 30 1959 The number of plane trees. Zbl 0126.19002Harary, Frank; Prins, Geert; Tutte, W. T. 29 1964 A simple algorithm to detect balance in signed graphs. Zbl 0497.05056Harary, Frank; Kabell, Jerald A. 28 1980 On the number of crossings in a complete graph. Zbl 0118.18902Harary, Frank; Hill, Anthony 27 1963 The dissimilarity characteristic of Husimi trees. Zbl 0051.40502Harary, Frank; Norman, Robert Z. 26 1953 On the Möbius ladders. Zbl 0161.20602Guy, R. K.; Harary, Frank 25 1967 The genus of the n-cube. Zbl 0127.13801Beineke, L. W.; Harary, Frank 25 1965 On the number of Husimi trees. I. Zbl 0053.13104Harary, Frank; Uhlenbeck, George E. 25 1953 Methods of destroying the symmetries of a graph. Zbl 1020.05033Harary, Frank 24 2001 Properties of almost all graphs and complexes. Zbl 0418.05050Blass, Andreas; Harary, Frank 24 1979 Toroidal graphs with arbitrarily high crossing numbers. Zbl 0285.05104Harary, Frank; Kainen, Paul C.; Schwenk, Allen J. 23 1973 On the dimension of a graph. Zbl 0151.33204Erdős, Pál; Harary, Frank; Tutte, W. T. 22 1965 On the thickness of the complete bipartite graph. Zbl 0121.18402Beineke, L. W.; Harary, Frank; Moon, J. W. 22 1964 On the group of the composition of two graphs. Zbl 0085.37803Harary, Frank 22 1959 A graph theoretic method for the complete reduction of a matrix with a view toward finding its eigenvalues. Zbl 0087.01701Harary, Frank 21 1959 Geodetic sets in graphs. Zbl 0958.05044Chartrand, Gary; Harary, Frank; Zhang, Ping 20 2000 Conditional colorability in graphs. Zbl 0556.05027Harary, Frank 20 1985 Cluster inference by using transitivity indices in empirical graphs. Zbl 0505.62043Frank, Ove; Harary, Frank 20 1982 Paley graphs satisfy all first-order adjacency axioms. Zbl 0472.05058Blass, Andreas; Exoo, Geoffrey; Harary, Frank 20 1981 Isomorphic factorisations. I: complete graphs. Zbl 0381.05044Harary, Frank; Robinson, Robert W.; Wormald, Nicholas C. 20 1978 The biparticity of a graph. Zbl 0376.05043Harary, Frank; Hsu, Derbiau; Miller, Zevi 20 1977 Twenty-step algorithm for determining the asymptotic number of trees of various species. Zbl 0319.05102Harary, Frank; Robinson, Robert W.; Schwenk, Allen J. 20 1975 Boolean operations on graphs. Zbl 0152.22801Harary, Frank; Wilcox, G. W. 20 1967 The thickness of the complete graph. Zbl 0135.42104Beineke, L. W.; Harary, Frank 20 1965 On the number of bi-colored graphs. Zbl 0084.19402Harary, Frank 20 1958 The square of a chordal graph. Zbl 0795.05118Harary, Frank; McKee, Terry A. 19 1994 A seminar on graph theory. Zbl 0159.54104Harary, Frank (ed.); Beineke, L. (ed.) 19 1967 A graph theoretic approach to matrix inversion by partitioning. Zbl 0109.09003Harary, Frank 19 1962 Node fault tolerance in graphs. Zbl 0852.90081Harary, Frank; Hayes, John P. 18 1996 Bipartite intersection graphs. Zbl 0516.05049Harary, Frank; Kabell, Jerald A.; McMorris, F. R. 18 1982 Graph theory and theoretical physics. Zbl 0202.55602Harary, Frank (ed.) 18 1967 The reconstruction of a tree form its maximal subtrees. Zbl 0141.21402Harary, Frank; Palmer, Edgar M. 18 1966 The communication problem on graphs. Zbl 0307.05118Harary, Frank; Schwenk, Allen J. 17 1974 On the coloring of signed graphs. Zbl 0155.31703Cartwright, D.; Harary, Frank 17 1968 Sum graphs over all the integers. Zbl 0797.05069Harary, Frank 16 1994 The diameter of a graph and its complement. Zbl 0565.05046Harary, Frank; Robinson, Robert W. 16 1985 The block-cutpoint-tree of a graph. Zbl 0168.44704Harary, Frank; Prins, G. 16 1966 Destroying automorphisms by fixing nodes. Zbl 1109.05050Erwin, David; Harary, Frank 15 2006 Extremal results on the geodetic number of a graph. Zbl 0744.05021Buckley, Fred; Harary, Frank; Quintas, Louis V. 15 1988 What is the difference between the domination and independent domination numbers of a cubic graph? Zbl 0728.05033Barefoot, Curtiss; Harary, Frank; Jones, Kathryn F. 14 1991 Sum graphs and difference graphs. Zbl 0691.05038Harary, Frank 14 1990 Graphs as models of communication network vulnerability: Connectivity and persistence. Zbl 0471.05041Boesch, Frank T.; Harary, Frank; Kabell, Jerald A. 14 1981 Which nonnegative matrices are self-inverse. Zbl 0321.15008Harary, Frank; Minc, Henryk 14 1976 Outerplanar graphs and weak duals. Zbl 0352.05029Fleischner, Herbert J.; Geller, Dennis P.; Harary, Frank 14 1975 A formal system for information retrieval from files. Zbl 0185.43601Hsiao, D.; Harary, Frank 14 1970 On similar points of a graph. Zbl 0141.21404Harary, Frank; Palmer, Edgar M. 14 1966 Every planar graph with nine points has a nonplanar complement. Zbl 0114.14602Battle, J.; Harary, Frank; Kodama, Y. 14 1962 The automorphism group of a hypercube. Zbl 0960.68130Harary, Frank 13 2000 Subcube fault-tolerance in hypercubes. Zbl 0785.68006Graham, Niall; Harary, Frank; Livingston, Marilynn; Stout, Quentin F. 13 1993 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 1351.05002Harary, Frank (ed.) 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 On the computational complexity of the forcing chromatic number. Zbl 1131.68050Harary, Frank; Slany, Wolfgang; Verbitsky, Oleg 1 2007 Destroying automorphisms by fixing nodes. Zbl 1109.05050Erwin, David; Harary, Frank 15 2006 Partitions into sum-free sets. Zbl 1134.11312Blanchard, Peter F.; Harary, Frank; Reis, Rogério 5 2006 Perfect-matching preclusion. Zbl 1091.05057Brigham, Robert C.; Harary, Frank; Violin, Elizabeth C.; Yellen, Jay 41 2005 Identity orientation of complete bipartite graphs. Zbl 1060.05071Harary, Frank; Ranjan, Desh 2 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 50 2002 Signed graphs for portfolio analysis in risk management. Zbl 1065.91025Harary, Frank; Lim, Meng-Hiot; Wunsch, Donald C. 5 2002 Unsolved problems on distance in graphs. Zbl 1075.05521Buckley, Fred; Harary, Frank 3 2002 Graph theory and geography. An interactive view. Zbl 1161.05345Arlinghaus, Sandra; Arlinghaus, William C.; Harary, Frank 2 2002 A symmetric strategy in graph avoidance games. Zbl 1046.91013Harary, Frank; Slany, Wolfgang; Verbitsky, Oleg 2 2002 A radio coloring of a hypercube. Zbl 1001.05053Frieder, Ophir; Harary, Frank; Wan, Peng-Jun 2 2002 Radio labelings of graphs. Zbl 0989.05102Chartrand, Gary; Erwin, David; Zhang, Ping; Harary, Frank 32 2001 Methods of destroying the symmetries of a graph. Zbl 1020.05033Harary, Frank 24 2001 Geodomination in graphs. Zbl 0969.05048Chartrand, Gary; Harary, Frank; Swart, Henda C.; Zhang, Ping 11 2001 Destroying symmetry by orienting edges: Complete graphs and complete bigraphs. Zbl 1001.05062Harary, Frank; Jacobson, Michael S. 4 2001 One-color triangle avoidance games. Zbl 0990.91008Cater, Steven C.; Harary, Frank; Robinson, Robert W. 3 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. 75 2000 Geodetic sets in graphs. Zbl 0958.05044Chartrand, Gary; Harary, Frank; Zhang, Ping 20 2000 The automorphism group of a hypercube. Zbl 0960.68130Harary, Frank 13 2000 On the hull number of a graph. Zbl 1064.05049Chartrand, Gary; Harary, Frank; Zhang, Ping 10 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. 34 1999 On the out-domination and in-domination numbers of a digraph. Zbl 0978.05057Chartrand, Gary; Harary, Frank; Yue, Bill Quan 12 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. 7 1998 Extremal problems in geodetic graph theory. Zbl 0951.05056Chartrand, Gary; Zhang, Ping; Harary, Frank 6 1998 Designs from graph invariants. Zbl 1217.05042Harary, Frank 4 1998 The difference between a graph and its square. Zbl 0915.05071Aingworth, Donald; Motwani, Rajeev; Harary, Frank 2 1998 Breaking symmetry in complete graphs by orienting edges: asymptotic bounds. Zbl 1339.05198Harary, Frank; Ranjan, Desh 1 1998 Efficient and excess domination in graphs. Zbl 0903.05032Harary, Frank; Haynes, Teresa W.; Slater, Peter J. 1 1998 The forcing domination number of a graph. Zbl 0906.05035Chartrand, Gary; Gavlas, Heather; Vandell, Robert C.; Harary, Frank 10 1997 Dynamic graph models. Zbl 0879.68085Harary, F.; Gupta, G. 7 1997 The color cost of a caterpillar. Zbl 0887.05018Gionfriddo, Mario; Harary, Frank; Tuza, Zsolt 4 1997 Some small sized spanning subgraphs of a hypercube. Zbl 0931.90005Graham, N.; Harary, F. 3 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 irregularity cost of a graph. Zbl 0901.05086Harary, F.; Oellermann, O. R. 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. 33 1996 Node fault tolerance in graphs. Zbl 0852.90081Harary, Frank; Hayes, John P. 18 1996 A study of maximum unit-circle caterpillars—tools for the study of the shape of adsorption patterns. Zbl 0848.05059Harary, Frank; Randolph, William; Mezey, Paul G. 2 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 11 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 Achievement and avoidance of a strong orientation of a graph. Zbl 0904.05033Chartrand, Gary; Harary, Frank; Schultz, Michelle; VanderJagt, Donald W. 2 1995 One node fault tolerance for caterpillars and starlike trees. Zbl 0847.68081Harary, Frank; Khurrum, Mohammed 2 1995 The square of a chordal graph. Zbl 0795.05118Harary, Frank; McKee, Terry A. 19 1994 Sum graphs over all the integers. Zbl 0797.05069Harary, Frank 16 1994 Forced orientation numbers of a graph. Zbl 0836.05043Chartrand, Gary; Harary, Frank; Schultz, Michelle; Wall, Curtiss E. 5 1994 On signed degrees in signed graphs. Zbl 0837.05110Chartrand, Gary; Gavlas, Heather; Harary, Frank; Schultz, Michelle 4 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 Parallel concepts in graph theory. Zbl 0797.05064Harary, F. 1,147 1993 The geodetic number of a graph. Zbl 0825.68490Harary, Frank; Loukakis, Emmanuel; Tsouros, Constantine 49 1993 Edge fault tolerance in graphs. Zbl 0796.05046Harary, Frank; Hayes, John P. 33 1993 Subcube fault-tolerance in hypercubes. Zbl 0785.68006Graham, Niall; Harary, Frank; Livingston, Marilynn; Stout, Quentin F. 13 1993 Abstract sphere-of-influence graphs. Zbl 0791.05087Harary, Frank; Jacobson, Michael S.; Lipman, Marc J.; McMorris, F. R. 8 1993 Independent domination in hypercubes. Zbl 0780.05031Harary, Frank; Livingston, Marilynn 8 1993 The neighborhood inclusion structure of a graph. Zbl 0795.05119Boesch, Frank; Suffel, Charles; Tindell, Ralph; Harary, Frank 7 1993 Vulnerability in graphs of diameter four. Zbl 0791.05033Exoo, Geoffrey; Harary, Frank; Xu, Cheng-De 4 1993 Two graph-colouring games. Zbl 0788.05045Harary, Frank; Tuza, Zsolt 4 1993 Three new directions in graph theory. Zbl 0854.05044Harary, Frank 3 1993 Is Snaky a winner? Zbl 0847.05039Harary, Frank 2 1993 Spanning subgraphs of a hypercube. IV: Rooted trees. Zbl 0791.05020Harary, Frank; Lewinter, Martin 2 1993 The cube of a path is maximal planar. Zbl 0804.05046Harary, Frank; Kainen, Paul C. 1 1993 Realizing the chromatic numbers of triangulations of surfaces. Zbl 0791.05026Harary, Frank; Lawrencenko, Serge; Korzhik, Vladimir 1 1993 Quantifying fault recovery in multiprocessor systems. Zbl 0825.68225Harary, Frank; Malek, Miroslaw 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 9 1992 Subtree acyclic digraphs. Zbl 0770.05084Harary, Frank; Kabell, Jerald A.; McMorris, F. R. 4 1992 Product graphs are sum graphs. Zbl 0785.05075Bergstrand, Deborah; Hodges, Ken; Jennings, George; Kuklinski, Lisa; Wiener, Janet; Harary, Frank 3 1992 Counting free binary trees admitting a given height. Zbl 1230.05162Harary, 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 0728.05033Barefoot, Curtiss; Harary, Frank; Jones, Kathryn F. 14 1991 Recent results and unsolved problems on hypercube theory. Zbl 0840.05092Harary, Frank 12 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 Conditional chromatic number and graph operations. Zbl 0742.05043Harary, Frank; Hsu, Lih-Hsing 1 1991 Distance in graphs. Zbl 0688.05017Buckley, Fred; Harary, Frank 267 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. 13 1989 The sum number of a complete graph. Zbl 0702.05072Bergstrand, Deborah; Hodges, Ken; Jennings, George; Kuklinski, Lisa; Wiener, Janet; Harary, Frank 12 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 A survey of the theory of hypercube graphs. Zbl 0645.05061Harary, Frank; Hayes, John P.; Wu, Horng-Jyh 80 1988 Extremal results on the geodetic number of a graph. Zbl 0744.05021Buckley, Fred; Harary, Frank; Quintas, Louis V. 15 1988 Some collaborative experiences in graph theory research. Zbl 0677.01013Harary, Frank 8 1988 ...and 336 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,087 Authors 136 Harary, Frank 46 Lai, Hong-Jian 36 Rodríguez-Velazquez, Juan Alberto 36 Xiong, Liming 35 Volkmann, Lutz 34 Chartrand, Gary Theodore 33 Yero, Ismael Gonzalez 32 Henning, Michael Anthony 30 Li, Xueliang 29 Faudree, Ralph Jasper jun. 27 Thomassen, Carsten 25 Gutman, Ivan M. 25 Meng, Jixiang 24 Balbuena, Camino 23 Oellermann, Ortrud R. 23 Palmer, Edgar M. 23 West, Douglas Brent 22 Schelp, Richard Herbert 21 Broersma, Hajo J. 21 Ryjáček, Zdeněk 21 Zaslavsky, Thomas 20 Cheng, Eddie 20 Dehmer, Matthias 20 Santhakumaran, Anandhapalpu P. 20 Xu, Junming 19 Brown, Jason Ira 19 Erdős, Pál 19 Hsu, Lihhsing 19 Yang, Weihua 18 Maybee, John S. 18 Nebeský, Ladislav 18 Slater, Peter James 17 Klavžar, Sandi 17 Zhang, Heping 16 Chang, Gerard Jennhwa 16 Chen, Zhihong 16 Rautenbach, Dieter 16 Robinson, Robert W. 16 Vrána, Petr 15 Acharya, Mukti 15 Burr, Stefan A. 15 Jeyanthi, Pon 15 Mao, Yaping 15 Sinha, Deepa 14 Alikhani, Saeid 14 Bapat, Ravindra Bhalchandra 14 García-Vázquez, Pedro 14 Moon, John W. 14 Rousseau, Cecil C. 14 Simić, Slobodan K. 14 Tuza, Zsolt 14 Wang, Yue-Li 13 Abrosimov, Mikhail Borisovich 13 Araujo-Pardo, Gabriela 13 Belardo, Francesco 13 Dourado, Mitre C. 13 Emmert-Streib, Frank 13 Estrada-Moreno, Alejandro 13 Fleischner, Herbert J. 13 Germina, K. A. 13 Hell, Pavol 13 Jacobson, Michael Scott 13 Kuziak, Dorota 13 Milanič, Martin 13 Pelayo, Ignacio M. 13 Plesník, Ján 13 Roberts, Fred S. 13 Syslo, Maciej M. 13 Yi, Eunjeong 13 Zhang, Ping 12 Acharya, Belmannu Devadas 12 Brigham, Robert C. 12 Chen, Xiebin 12 Dankelmann, Peter 12 Gould, Ronald J. 12 Graham, Ronald Lewis 12 Jafari Rad, Nader 12 Kauffman, Louis Hirsch 12 Labelle, Gilbert 12 Mora, Mercè 12 Naduvath, Sudev 12 Nešetřil, Jaroslav 12 Parsons, Torrence D. 12 Pirzada, Shariefuddin 12 Sigarreta Almira, José María 12 Tian, Yingzhi 12 Veldman, Henk Jan 12 Zhan, Mingquan 12 Zhang, Fuji 11 Beineke, Lowell W. 11 Caro, Yair 11 Catlin, Paul A. 11 Hansen, Pierre 11 Haynes, Teresa W. 11 Hedetniemi, Stephen Travis 11 Hernando, Carmen 11 Kainen, Paul C. 11 Li, Shuchao 11 Liu, Yanpei 11 Meir, Amram ...and 6,987 more Authors all top 5 Cited in 517 Serials 1,091 Discrete Mathematics 553 Discrete Applied Mathematics 299 Journal of Combinatorial Theory. 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Operations Research 10 Asian-European Journal of Mathematics 10 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 10 Journal of Discrete Mathematics 9 Communications in Algebra 9 Mathematics of Computation 9 Journal of Computational and Applied Mathematics 9 Journal of Graph Algorithms and Applications 9 Bulletin of the American Mathematical Society 9 Mathematics in Computer Science ...and 417 more Serials all top 5 Cited in 57 Fields 5,084 Combinatorics (05-XX) 998 Computer science (68-XX) 331 Operations research, mathematical programming (90-XX) 239 Linear and multilinear algebra; matrix theory (15-XX) 207 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 206 Biology and other natural sciences (92-XX) 158 Information and communication theory, circuits (94-XX) 137 Group theory and generalizations (20-XX) 117 Manifolds and cell complexes (57-XX) 101 Convex and discrete geometry (52-XX) 92 Probability theory and stochastic processes (60-XX) 86 Order, lattices, ordered algebraic structures (06-XX) 79 Mathematical logic and foundations (03-XX) 79 Statistics (62-XX) 74 Numerical analysis (65-XX) 71 Systems theory; control (93-XX) 68 Number theory (11-XX) 57 Commutative algebra (13-XX) 46 General topology (54-XX) 39 Dynamical systems and ergodic theory (37-XX) 38 Geometry (51-XX) 34 Ordinary differential equations (34-XX) 33 Statistical mechanics, structure of matter (82-XX) 28 Quantum theory (81-XX) 26 Associative rings and algebras (16-XX) 24 Algebraic geometry (14-XX) 20 History and biography (01-XX) 19 Partial differential equations (35-XX) 13 Nonassociative rings and algebras (17-XX) 12 Special functions (33-XX) 11 Operator theory (47-XX) 10 Category theory; homological algebra (18-XX) 9 General and overarching topics; collections (00-XX) 9 General algebraic systems (08-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Algebraic topology (55-XX) 9 Mechanics of particles and systems (70-XX) 9 Mechanics of deformable solids (74-XX) 8 Functions of a complex variable (30-XX) 8 Difference and functional equations (39-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) 6 Differential geometry (53-XX) 5 Real functions (26-XX) 5 Functional analysis (46-XX) 4 Field theory and polynomials (12-XX) 4 Approximations and expansions (41-XX) 3 Topological groups, Lie groups (22-XX) 3 Relativity and gravitational theory (83-XX) 3 Geophysics (86-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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