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Exercises in Graph Theory (Paperback, Softcover reprint of the original 1st ed. 1998)
Loot Price: R3,919
Discovery Miles 39 190
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Exercises in Graph Theory (Paperback, Softcover reprint of the original 1st ed. 1998)
Series: Texts in the Mathematical Sciences, 19
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This book supplements the textbook of the authors" Lectures on
Graph The ory" 6] by more than thousand exercises of varying
complexity. The books match each other in their contents,
notations, and terminology. The authors hope that both students and
lecturers will find this book helpful for mastering and verifying
the understanding of the peculiarities of graphs. The exercises are
grouped into eleven chapters and numerous sections accord ing to
the topics of graph theory: paths, cycles, components, subgraphs,
re constructibility, operations on graphs, graphs and matrices,
trees, independence, matchings, coverings, connectivity, matroids,
planarity, Eulerian and Hamiltonian graphs, degree sequences,
colorings, digraphs, hypergraphs. Each section starts with main
definitions and brief theoretical discussions. They constitute a
minimal background, just a reminder, for solving the exercises. the
presented facts and a more extended exposition may be found in
Proofs of the mentioned textbook of the authors, as well as in many
other books in graph theory. Most exercises are supplied with
answers and hints. In many cases complete solutions are given. At
the end of the book you may find the index of terms and the
glossary of notations. The "Bibliography" list refers only to the
books used by the authors during the preparation of the
exercisebook. Clearly, it mentions only a fraction of available
books in graph theory. The invention of the authors was also driven
by numerous journal articles, which are impossible to list here."
General
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