Harary, Frank
Overview
Works:  119 works in 525 publications in 5 languages and 8,342 library holdings 

Genres:  Conference papers and proceedings Bibliography History 
Roles:  Author, Editor, Other, Honoree 
Classifications:  QA166, 511.5 
Publication Timeline
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Most widely held works about
Frank Harary
 Harary, Frank : educating the gifted( )
 George Polya papers by George Pólya( )
Most widely held works by
Frank Harary
Structural models: an introduction to the theory of directed graphs by
Frank Harary(
Book
)
29 editions published between 1965 and 1973 in English and Undetermined and held by 735 WorldCat member libraries worldwide
29 editions published between 1965 and 1973 in English and Undetermined and held by 735 WorldCat member libraries worldwide
Proof techniques in graph theory : proceedings of the Second Ann Arbor Graph Theory Conference, February 1968 by
Frank Harary(
Book
)
21 editions published between 1968 and 1970 in English and Undetermined and held by 559 WorldCat member libraries worldwide
Contents: The four color conjecture and other graphical diseases; Several proofs of the number of labeled 2dimensional trees; On the chromatic number of permutation graphs; The expanding unicurse; Problems and results in chromatic graph theory; Forbidden subgraphs; A proof technique in graph theory; Independence and covering numbers of line graphs and total graphs; The decline and fall of Zarankiewicz's Theorem; On the intersection number of a graph; On endomorphisms of graphs and their homomorphic images; Counterexamples in the theory of wellquasiordered sets; On the existence of certain minimal regular nsystems with given girth; Reconstruction of unicyclic graphs; The group of a graph whose adiacency matrix has all distinct eigenvalues; Extremal nonseparable graphs of diameter 2; A class of strongly regular graphs; The exponentiation group as the automorphism group of A graph; Remarks on the Heawood conjecture; Indifference graphs; Enumeration of Euler graphs; A graphtheoretical model for periodic discrete structures; Even and odd 4colorings; A theorem on Tait colorings with an application to the generalized Petersen graphs; The Mobius function in combinatorial analysis and chromatic graph theory; and Keyword indexed bibliography of graph theory
21 editions published between 1968 and 1970 in English and Undetermined and held by 559 WorldCat member libraries worldwide
Contents: The four color conjecture and other graphical diseases; Several proofs of the number of labeled 2dimensional trees; On the chromatic number of permutation graphs; The expanding unicurse; Problems and results in chromatic graph theory; Forbidden subgraphs; A proof technique in graph theory; Independence and covering numbers of line graphs and total graphs; The decline and fall of Zarankiewicz's Theorem; On the intersection number of a graph; On endomorphisms of graphs and their homomorphic images; Counterexamples in the theory of wellquasiordered sets; On the existence of certain minimal regular nsystems with given girth; Reconstruction of unicyclic graphs; The group of a graph whose adiacency matrix has all distinct eigenvalues; Extremal nonseparable graphs of diameter 2; A class of strongly regular graphs; The exponentiation group as the automorphism group of A graph; Remarks on the Heawood conjecture; Indifference graphs; Enumeration of Euler graphs; A graphtheoretical model for periodic discrete structures; Even and odd 4colorings; A theorem on Tait colorings with an application to the generalized Petersen graphs; The Mobius function in combinatorial analysis and chromatic graph theory; and Keyword indexed bibliography of graph theory
Graphical enumeration by
Frank Harary(
Book
)
21 editions published between 1970 and 2014 in 3 languages and held by 557 WorldCat member libraries worldwide
The book is a definitive treatise on the enumeration of graphs and related structural configurations, providing historical results as well as recent developments having potential application in the fields of physics, chemistry, computer science, and electrical engineering. Its ten chapters cover the subjects of labeled enumeration, Polya's Theorem, trees, graphs, diagraphs, power group enumeration, superposition, blocks, asymptotics, and as a special feature, a new comprehensive list of unsolved graphical enumeration problems. It includes an extensive bibliography and numerous exercises ranging in difficulty from routine to intractable. (Author)
21 editions published between 1970 and 2014 in 3 languages and held by 557 WorldCat member libraries worldwide
The book is a definitive treatise on the enumeration of graphs and related structural configurations, providing historical results as well as recent developments having potential application in the fields of physics, chemistry, computer science, and electrical engineering. Its ten chapters cover the subjects of labeled enumeration, Polya's Theorem, trees, graphs, diagraphs, power group enumeration, superposition, blocks, asymptotics, and as a special feature, a new comprehensive list of unsolved graphical enumeration problems. It includes an extensive bibliography and numerous exercises ranging in difficulty from routine to intractable. (Author)
A seminar on graph theory by
London University College(
Book
)
18 editions published between 1967 and 2015 in English and Undetermined and held by 531 WorldCat member libraries worldwide
Lectures given in F. Harary's seminar course, University College of London, Dept. of Mathematics, 19621963
18 editions published between 1967 and 2015 in English and Undetermined and held by 531 WorldCat member libraries worldwide
Lectures given in F. Harary's seminar course, University College of London, Dept. of Mathematics, 19621963
Graphs and combinatorics; proceedings by
Ruth A Bari(
Book
)
31 editions published in 1974 in English and Undetermined and held by 524 WorldCat member libraries worldwide
31 editions published in 1974 in English and Undetermined and held by 524 WorldCat member libraries worldwide
Graph theory and theoretical physics by
Frank Harary(
Book
)
18 editions published between 1966 and 1967 in English and held by 499 WorldCat member libraries worldwide
18 editions published between 1966 and 1967 in English and held by 499 WorldCat member libraries worldwide
Structural models in anthropology by
Per Hage(
Book
)
20 editions published between 1983 and 1984 in 3 languages and held by 477 WorldCat member libraries worldwide
Hage and Harary present a comprehensive introduction to the use of graph theory in social and cultural anthropology. Using a wide range of empirical examples, the authors illustrate how graph theory can provide a language for expressing in a more exact fashion concepts and notions that can only be imperfectly rendered verbally. They show how graphs, digraphs and networks, together with their associated matrices and duality laws, facilitate the study of such diverse topics as mediation and power in exchange systems, reachability in social networks, efficiency in cognitive schemata, logic in kinship relations, and productivity in subsistence modes. The interaction between graphs and groups provides further means for the analysis of transformations in myths and permutations in symbolic systems. The totality of these structural models aids in the collection as well as the interpretation of field data. The presentation is clear, precise and readily accessible to the nonmathematical reader. It emphasizes the implicit presence of graph theory in much of anthropological thinking
20 editions published between 1983 and 1984 in 3 languages and held by 477 WorldCat member libraries worldwide
Hage and Harary present a comprehensive introduction to the use of graph theory in social and cultural anthropology. Using a wide range of empirical examples, the authors illustrate how graph theory can provide a language for expressing in a more exact fashion concepts and notions that can only be imperfectly rendered verbally. They show how graphs, digraphs and networks, together with their associated matrices and duality laws, facilitate the study of such diverse topics as mediation and power in exchange systems, reachability in social networks, efficiency in cognitive schemata, logic in kinship relations, and productivity in subsistence modes. The interaction between graphs and groups provides further means for the analysis of transformations in myths and permutations in symbolic systems. The totality of these structural models aids in the collection as well as the interpretation of field data. The presentation is clear, precise and readily accessible to the nonmathematical reader. It emphasizes the implicit presence of graph theory in much of anthropological thinking
New directions in the theory of graphs : proceedings by
Frank Harary(
Book
)
28 editions published between 1972 and 1973 in English and Undetermined and held by 464 WorldCat member libraries worldwide
Contents: On the history of the theory of graphs; On graphs with a constant link; Some extremal problems on rgraphs; New directions in hamiltonian graph theory; On the use of graphs in group theory; The adjacency matrix and the group of a graph; Unexplored and semiexplored territories in graph theory; Graphical enumeration methods; Isomorphisms between hypergraphs; Counting labeled acyclic digraphs; Almost all trees are cospectral; What is a map
28 editions published between 1972 and 1973 in English and Undetermined and held by 464 WorldCat member libraries worldwide
Contents: On the history of the theory of graphs; On graphs with a constant link; Some extremal problems on rgraphs; New directions in hamiltonian graph theory; On the use of graphs in group theory; The adjacency matrix and the group of a graph; Unexplored and semiexplored territories in graph theory; Graphical enumeration methods; Isomorphisms between hypergraphs; Counting labeled acyclic digraphs; Almost all trees are cospectral; What is a map
Distance in graphs by
Fred Buckley(
Book
)
12 editions published between 1989 and 1990 in English and Undetermined and held by 369 WorldCat member libraries worldwide
12 editions published between 1989 and 1990 in English and Undetermined and held by 369 WorldCat member libraries worldwide
Island networks : communication, kinship, and classification structures in Oceania by
Per Hage(
Book
)
14 editions published between 1996 and 2010 in English and held by 337 WorldCat member libraries worldwide
In their previous book, Exchange in Oceania, anthropologist Per Hage and mathematician Frank Harary demonstrated that models from graph theory, a branch of pure mathematics, provide the essential basis for analyzing the great variety of exchange systems in Micronesian, Melanesian, and Polynesian societies. In this new book the authors extend these models and apply them to the analysis of communication, kinship, and classification structures in the island societies of Oceania, presenting the relevant topics from graph theory in a form accessible to the nonmathematical reader. The research problems include the formation of island empires, the social basis of dialect groups, the emergence of trade and political centers, the evolution and devolution of social stratification, the transformations of marriage and descent systems, the historical development of kinship terminologies, and the reconstruction of protosocieties
14 editions published between 1996 and 2010 in English and held by 337 WorldCat member libraries worldwide
In their previous book, Exchange in Oceania, anthropologist Per Hage and mathematician Frank Harary demonstrated that models from graph theory, a branch of pure mathematics, provide the essential basis for analyzing the great variety of exchange systems in Micronesian, Melanesian, and Polynesian societies. In this new book the authors extend these models and apply them to the analysis of communication, kinship, and classification structures in the island societies of Oceania, presenting the relevant topics from graph theory in a form accessible to the nonmathematical reader. The research problems include the formation of island empires, the social basis of dialect groups, the emergence of trade and political centers, the evolution and devolution of social stratification, the transformations of marriage and descent systems, the historical development of kinship terminologies, and the reconstruction of protosocieties
Mathematical aspects of electrical network analysis by Symposium in Applied Mathematics of the American Mathematical Society and the Society for Industrial and Applied Mathematics(
Book
)
10 editions published in 1971 in English and held by 334 WorldCat member libraries worldwide
The volume constitutes the final scientific report for a symposium on Mathematical Aspects of Electrical Network Theory. It contains thirteen papers presented during the April 1969 meeting of the American Mathematical Society. Topics covered include numerical techniques for nonlinear circuit analysis, network models, perturbation theory for nonlinear network synthesis, and graph theoretic applications to electrical network theory. (Author)
10 editions published in 1971 in English and held by 334 WorldCat member libraries worldwide
The volume constitutes the final scientific report for a symposium on Mathematical Aspects of Electrical Network Theory. It contains thirteen papers presented during the April 1969 meeting of the American Mathematical Society. Topics covered include numerical techniques for nonlinear circuit analysis, network models, perturbation theory for nonlinear network synthesis, and graph theoretic applications to electrical network theory. (Author)
Topics in graph theory by
Frank Harary(
Book
)
11 editions published in 1979 in English and Undetermined and held by 321 WorldCat member libraries worldwide
"This series of papers is the result of the Academy's scientistin reseidence program honoring Professor Harary on May 26, 1977
11 editions published in 1979 in English and Undetermined and held by 321 WorldCat member libraries worldwide
"This series of papers is the result of the Academy's scientistin reseidence program honoring Professor Harary on May 26, 1977
Graphs and applications : proceedings of the First Colorado Symposium on Graph Theory by Colorado Symposium on Graph Theory(
Book
)
16 editions published between 1982 and 1985 in English and held by 315 WorldCat member libraries worldwide
16 editions published between 1982 and 1985 in English and held by 315 WorldCat member libraries worldwide
Exchange in Oceania : a graph theoretic analysis by
Per Hage(
Book
)
9 editions published between 1987 and 1991 in English and Undetermined and held by 240 WorldCat member libraries worldwide
9 editions published between 1987 and 1991 in English and Undetermined and held by 240 WorldCat member libraries worldwide
Graph theory as a mathematical model in social science by
Frank Harary(
Book
)
15 editions published between 1953 and 1978 in English and held by 177 WorldCat member libraries worldwide
15 editions published between 1953 and 1978 in English and held by 177 WorldCat member libraries worldwide
Introduction à la théorie des graphes orientés : modèles structuraux by
Frank Harary(
Book
)
12 editions published in 1968 in 3 languages and held by 98 WorldCat member libraries worldwide
12 editions published in 1968 in 3 languages and held by 98 WorldCat member libraries worldwide
Determinants, permanents, and bipartite graphs by
Frank Harary(
Book
)
4 editions published in 1968 in English and held by 28 WorldCat member libraries worldwide
The combinatorial properties of a nonnegative matrix M are captured by that binary matrix A = A(M) in which the entries are 1 whenever those of M are positive. If A is a square matrix, then it can be regarded as the adjacency matrix of a directed graph (digraph). If A is rectangular, a bipartite graph (bigraph) can be associated with A; of course this can also be done for A square. The determinant of the adjacency matrix of a graph or digraph has been expressed in terms of its structure, and so has the permanent. The purposes of this report are to express the permanent of a square or rectangular binary matrix in terms of the associated bigraph, and to formulate the determinant of a square matrix in terms of its bigraph. (Author)
4 editions published in 1968 in English and held by 28 WorldCat member libraries worldwide
The combinatorial properties of a nonnegative matrix M are captured by that binary matrix A = A(M) in which the entries are 1 whenever those of M are positive. If A is a square matrix, then it can be regarded as the adjacency matrix of a directed graph (digraph). If A is rectangular, a bipartite graph (bigraph) can be associated with A; of course this can also be done for A square. The determinant of the adjacency matrix of a graph or digraph has been expressed in terms of its structure, and so has the permanent. The purposes of this report are to express the permanent of a square or rectangular binary matrix in terms of the associated bigraph, and to formulate the determinant of a square matrix in terms of its bigraph. (Author)
A Survey of combinatorial theory by
Jagdish Narain Srivastava(
Book
)
10 editions published between 1973 and 1974 in English and held by 26 WorldCat member libraries worldwide
The textbook contains survey articles and research papers covering almost all areas of combinatorial mathematics, in particular graph theory, finite geometries, block designs, factorial designs, coding theory, number theory, combinatorial geometries, search theory, communication and computer science problems and combinatorial problems in statistical inference
10 editions published between 1973 and 1974 in English and held by 26 WorldCat member libraries worldwide
The textbook contains survey articles and research papers covering almost all areas of combinatorial mathematics, in particular graph theory, finite geometries, block designs, factorial designs, coding theory, number theory, combinatorial geometries, search theory, communication and computer science problems and combinatorial problems in statistical inference
Proceedings of the First Estonian Conference on Graphs and Applications : dedicated to the 70th birthday of Professor Frank
Harary, TartuKääriku, May 1219, 1991 by Estonian Conference on Graphs and Applications(
Book
)
3 editions published in 1993 in English and held by 17 WorldCat member libraries worldwide
3 editions published in 1993 in English and held by 17 WorldCat member libraries worldwide
Perečislenie grafov by
Frank Harary(
Book
)
8 editions published in 1977 in Russian and Undetermined and held by 16 WorldCat member libraries worldwide
8 editions published in 1977 in Russian and Undetermined and held by 16 WorldCat member libraries worldwide
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Related Identities
 Hage, Per 1935 Author
 Norman, Robert Z. (Robert Zane) 1924 Author
 Cartwright, Dorwin
 Palmer, Edgar M.
 Bari, Ruth A. 1917 Author Editor
 Beineke, Lowell W. Editor
 University College, London Department of Mathematics
 Buckley, Fred Author
 Wilf, Herbert S. 19312012 Editor
 American Mathematical Society Publisher
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Associated Subjects
Bipartite graphs Bohr, Harald August, Bose, R. C.(Raj Chandra), Brentano, Franz, Canada Ceremonial exchangeMathematical models Combinatorial analysis Combinatorial enumeration problems De Finetti, Bruno Determinants Electrical engineeringMathematics Electric networks EthnologyMathematical models EthnologyMathematics Frege, Gottlob, Graphic methods Graph theory Hadamard, Jacques, Harary, Frank Hardy, G. H.(Godfrey Harold), Hilbert, David, Hille, Einar, Hurwitz, Adolf, KinshipMathematical models Knuth, Donald Ervin, Lehmer, D. H.(Derrick Henry), Manners and customs Manners and customsMathematical models Mathematical physics Mathematics MathematicsStudy and teaching Montel, Paul, Oceania Pacific IslandersSocial life and customs Permanents (Matrices) Pfluger, Albert, Runge, Carl, Schur, Issai, Sierpinski, Waclaw, Social networksMathematical models Social sciencesGraphic methods Social sciencesMathematical models Stanford University.Department of Mathematics Stern, Alfred Structural anthropology Szegő, Gábor, Trees (Graph theory) Universities and collegesFaculty Weyl, Hermann, Wigner, Eugene Paul,
Alternative Names
Charari, F. 19212005
Frank Harary Amerikaans wiskundige (19212005)
Frank Harary amerikansk matematikar
Frank Harary amerikansk matematiker
Frank Harary matemàtic estatunidenc
Frank Harary matemático estadounidense
Frank Harary matematico statunitense
Frank Harary mathématicien américain
Frank Harary USamerikanischer Mathematiker
Harari, F.
Harary, F.
Harary, F. 19212005
Френк Харарі
Харари, Ф..
Харари, Фрэнк
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