WorldCat Identities

Harary, Frank

Works: 123 works in 542 publications in 6 languages and 8,374 library holdings
Genres: Conference papers and proceedings  Bibliography  Bibliographies  History 
Roles: Author, Editor, Other, Honoree
Classifications: QA166, 511.5
Publication Timeline
Most widely held works about Frank Harary
Most widely held works by Frank Harary
Graph theory by Frank Harary( Book )

81 editions published between 1967 and 2018 in 4 languages and held by 1,215 WorldCat member libraries worldwide

Mathematics of Computing -- Discrete Mathematics
Structural models: an introduction to the theory of directed graphs by Frank Harary( Book )

29 editions published between 1965 and 1973 in English and held by 729 WorldCat member libraries worldwide

Graphs and combinatorics; proceedings by Ruth A Bari( Book )

32 editions published in 1974 in English and held by 670 WorldCat member libraries worldwide

Graphical enumeration by Frank Harary( Book )

20 editions published between 1970 and 2014 in 3 languages and held by 637 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 )

20 editions published between 1967 and 2015 in English and Undetermined and held by 572 WorldCat member libraries worldwide

Lectures given in F. Harary's seminar course, University College of London, Dept. of Mathematics, 1962-1963
Proof techniques in graph theory : proceedings of the Second Ann Arbor Graph Theory Conference, February 1968 by Frank Harary( Book )

22 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 2-dimensional 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 well-quasi-ordered sets; On the existence of certain minimal regular n-systems 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 graph-theoretical model for periodic discrete structures; Even and odd 4-colorings; A theorem on Tait colorings with an application to the generalized Petersen graphs; The Mobius function in combinatorial analysis and chromatic graph theory; and Key-word indexed bibliography of graph theory
Structural models in anthropology by Per Hage( Book )

21 editions published between 1983 and 1984 in 3 languages and held by 507 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
Graph theory and theoretical physics by Frank Harary( Book )

18 editions published between 1966 and 1967 in English and held by 497 WorldCat member libraries worldwide

New directions in the theory of graphs : proceedings by Frank Harary( Book )

28 editions published between 1972 and 1973 in English and held by 462 WorldCat member libraries worldwide

Contents: On the history of the theory of graphs; On graphs with a constant link; Some extremal problems on r-graphs; 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 semi-explored 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 )

13 editions published between 1989 and 1990 in English and Undetermined and held by 366 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 361 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 333 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 )

12 editions published in 1979 in English and Undetermined and held by 331 WorldCat member libraries worldwide

"This series of papers is the result of the Academy's scientist-in reseidence program honoring Professor Harary on May 2-6, 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 313 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 239 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 198 WorldCat member libraries worldwide

Introduction à la théorie des graphes orientés : modèles structuraux by Frank Harary( Book )

13 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 29 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 )

11 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, Tartu-Kääriku, May 12-19, 1991 by Estonian Conference on Graphs and Applications( Book )

3 editions published in 1993 in English and held by 19 WorldCat member libraries worldwide

moreShow More Titles
fewerShow Fewer Titles
Audience Level
Audience Level
  Kids General Special  
Audience level: 0.58 (from 0.51 for A seminar ... to 0.99 for Harary, Fr ...)

Structural models in anthropology
Graphs and combinatorics; proceedingsStructural models in anthropologyIsland networks : communication, kinship, and classification structures in OceaniaExchange in Oceania : a graph theoretic analysis
Alternative Names
Charari, F. 1921-2005

Frank Harary Amerikaans wiskundige (1921-2005)

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 US-amerikanischer Mathematiker

Harari, F.

Harary, F.

Harary, F. 1921-2005

Френк Харарі

Харари, Ф..

Харари, Фрэнк


English (352)

French (11)

Russian (7)

German (4)

Italian (1)

Spanish (1)