Ore O. Theory of graphs

Издательство North Holland, 1976, -546 pp. Graph theory has had an unusual development. Problems involving graphs first appeared in the mathematical folklore as puzzles (e.g. K?nigsberg bridge problem). Later, graphs appeared in electrical engineering (Kirchhof’s Law), chemistry, psychology and economics before becoming aI unified field of study. Today, graph theory is one of the most flourishing branches of modern algebra with wide application...

Издательство North Holland, 1978, -305 pp. Annals of Discrete Mathematics, Number 3. which received an equally memorable reply. Several of the papers were quickly and efficiently retyped by Mrs. J.E. Scutt. The editorial burden was greatly relieved by the excellent work of Mr. A.G. Thomason. Linear separation of dominating sets in graphs. Regularisable graphs. Hamiltonian decompositions of graphs, directed graphs and hypergraphs. Extremal gr...

Издательство North Holland, 1982, -210 pp. Annals of Discrete Mathematics, Number 13. Proceedings of the Conference on Graph Theory, Cambridge. The Cambridge Graph Theory Conference, held at Trinity College from 11 to 13 March 1981, brought together top ranking workers from diverse areas of the subject. The papers presented were by invitation only. This volume contains most of the contributions, suitably refereed and revised. For many years now,...

Cambridge University Press, 1991. - 380 pages. The book deals with the many connections between matrices, graphs, diagraphs and bipartite graphs. The basic theory of network flows is developed in order to obtain existence theorems for matrices with prescribed combinatorical properties and to obtain various matrix decomposition theorems. Other chapters cover the permanent of a matrix and Latin squares. The book ends by considering algebraic chara...

North-Holland, 1978. - 270 pages. It is a real pleasure, indeed an honor, for me to have been invited by Mike Capobianco and John Molluzzo to write an introduction to this imaginative and valuable addition to graph theory. Let me therefore present a few of my thoughts on the current status of graph theory and how their work contributes to the field. Graphs have come a long way since 1736 when Leonhard Euler applied a graph-theoretic argument to...

Издательство Chapman and Hall/CRC Press, 1996, -429 pp. Graph theory is a major area of combinatorics, and during recent decades, graph theory has developed into a major area of mathematics. In addition to its growing interest and importance as a mathematical subject, it has applications to many fields, including computer science and chemistry. As in the first edition of Graphs & Digraphs (M. Behzad, G. Chartrand, L. Lesniak) and the second...

Prentice Hall, 1974. - 480 pages. The last two decades have witnessed an upsurge of interest and activity in graph theory, particularly among applied mathematicians and engineers. Clear evidence of this is to be found in an unprecedented growth in the number of papers and books being published in the field. In 1957 there was exactly one book on the subject (namely, Konig's Theorie der Endlichen und Unendlichen Graphen). Now, sixteen years later,...

Издательство Academic Press, 1980, -303 pp. Research in graph theory and its applications has increased considerably in recent years. Typically, the elaboration of new theoretical structures has motivated a search for new algorithms compatible with those structures. Rather than the arduous and systematic study of every new concept definable with a graph, the main task for the mathematician is to eliminate the often arbitrary and cumbersome defin...

N. Y. ; L. : Academic Press, 1967.— xvi, 260 p. Puzzling problems permeate mathematics, and this is probably the strongest reason for the burgeoning growth of this queen of the sciences. The object of this book is to discuss the methods in graph theory that have been developed in the last century for attacking the four-color problem. It may be said without exaggeration concerning the writers on graph theory in this period, that however practical...

Addison Wesley – 1996, 184 pages, ISBN: 0582249937. Provides a basic foundation on trees, algorithms, Eulerian and Hamilton graphs, planar graphs and coloring, with special reference to four color theorem. Discusses directed graphs and transversal theory and related these areas to Markov chains and network flows.