Graph Theory With Applications
by J.A. Bondy and U.S.R. Murty
Publisher: Elsevier Science Ltd 1976
Number of pages: 270
The primary aim of this book is to present a coherent introduction to graph theory, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic treatment of the theory of graphs without sacrificing its intuitive and aesthetic appeal. Commonly used proof techniques are described and illustrated, and a wealth of exercises - of varying levels of difficulty - are provided to help the reader master the techniques and reinforce their grasp of the material.
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Contents: Introduction; The Basics; Tree; Multigraph; Extremal graph theory; Graph Traversal; Analysis; Example Applications of Graph Theory; Travelling salesman problem; Route inspection problem; Hamiltonian path problem; etc.
by Russell Lyons, Yuval Peres - Cambridge University Press
This book is concerned with certain aspects of discrete probability on infinite graphs that are currently in vigorous development. Of course, finite graphs are analyzed as well, but usually with the aim of understanding infinite graphs and networks.
by David Joyner, Minh Van Nguyen, Nathann Cohen - Google Code
An introductory book on algorithmic graph theory. Theory and algorithms are illustrated using the Sage open source software. The text covers graph algorithms, trees and forests, distance and connectivity, optimal graph traversals, planar graphs, etc.
by David Guichard - Whitman College
The book covers the classic parts of Combinatorics and graph theory, with some recent progress in the area. Contents: Fundamentals; Inclusion-Exclusion; Generating Functions; Systems of Distinct Representatives; Graph Theory; Polya-Redfield Counting.