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Book review

Author(s) Gimbel, J. (ed.)
Kennedy, J.W. (ed.)
Quintas, L.V. (ed.)
Title Quo Vadis, Graph Theory?
Publisher North-Holland
Year of publication 1993
Reviewed by Viorica-Cerasela Postolache

Graph Theory often arise in many fields of science and engineering such that: transport problems, optimal control, linear programming etc. This volume is a collection of articles which deal with important topics of graph theory and its applications. This useful reference includes some expository papers and also significant new results all presented on a scientific meeting recently held in U.S.A. The book presents researches in the following areas: colouring problems, probabilistic models, problems related to chemical graph theory, algorithms, networks, geometric applications, teaching in graph theory, applied problems in genetics, information theory.

This volume includes thirty two top-quality articles written by experts, an introduction, an index of key terms, table of contents aufficiently detailed. All this papers where presented on the International Conference on the Future of Graph Theory held at Univ. Of Alaska Fairbanks, August 1990. All the contributed papers published in this very well produced book have complete proofs and references. Also, all contributions included in this volume are presented in their full length.

Intended to attract readers interested both in theory and applications the book furnishes an important cross-disciplinary perspective. Quo Vadis, Graph Theory? is written for applied mathematicians, mathematically inclined engineers, research scientists interested in recent developments concerning graph theory. Some subtopics are accessible to undergraduate students. Containing original research papers and survey-type papers this volume includes applications of graph theory in chemistry, probability theory, optimal control and so on.

In my opinion, this research level material provides a very good introduction to the stated subject. The book being highly-specialized is designed mainly for the institutional market. Also the book would be a good investment for individuals seriously interested in the topic. Reading calls for acquaintance with the elements of calculus.