Graph Theory with Applications to Engineering and Computer Science

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Courier Dover Publications, 17 Ê.¤. 2016 - 496 ˹éÒ

This outstanding introductory treatment of graph theory and its applications has had a long life in the instruction of advanced undergraduates and graduate students in all areas that require knowledge of this subject. The first nine chapters constitute an excellent overall introduction, requiring only some knowledge of set theory and matrix algebra. Topics include paths and circuits, trees and fundamental circuits, planar and dual graphs, vector and matrix representation of graphs, and related subjects.
The remaining six chapters are more advanced, covering graph theory algorithms and computer programs, graphs in switching and coding theory, electrical network analysis by graph theory, graph theory in operations research, and more. Instructors may combine these chapters with the preceding material for courses in a variety of fields, including electrical engineering, computer science, operations research, and applied mathematics.
Dover republication of the Prentice-Hall, Englewood Cliffs, New Jersey, 1974 edition.
www.doverpublications.com

 

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INTRODUCTION
1
PATHS AND CIRCUITS
14
VECTOR SPACES OF A GRAPH
112
MATRIX REPRESENTATION OF GRAPHS
137
COLORING COVERING AND PARTITIONING
165
ENUMERATION OF GRAPHS
238
Summary
264
GRAPHS IN SWITCHING AND CODING THEORY
328
BY GRAPH THEORY
356
14
382
SURVEY OF OTHER APPLICATIONS
416
Appendix A BINETCAUCHY THEOREM
458
238
466
384
467
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Graph Theory with Applications to Engineering and Computer Science
Narsingh Deo
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activity network acyclic adjacency matrix algorithm analysis applications binary Boolean c₁ called Chapter chord circuit matrix cofactor colors column complete graph components connected graph contact network contains corresponding cut-set matrix digraph G directed circuits directed path edge-disjoint electrical network elements entry equations Euler graph Euler line example fundamental circuit fundamental cut-set G₁ G₂ given graph graph G graph in Fig graph theory graph-theoretic Hamiltonian circuit in-degree incidence matrix integer isomorphic labeled linear Markov process max-flow min-cut theorem maximal nonzero nullity number of edges number of vertices obtained out-degree p₁ pair of vertices parallel edges partition permutation planar graph problem program digraph Proof representation represented self-loop sequential machine shown in Fig signal-flow graph spanning tree stochastic strongly connected subgraph subsets subspace T₁ Theorem topological transport network undirected graph v₁ V₂ variables vector space vertex voltage w₁ weight zero

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Narsingh Deo holds the Charles N. Millican Eminent Scholar's Chair in Computer Science and is the Director of the Center for Parallel Computation at the University of Central Florida, Orlando. Previously he was Professor of Computer Science at Washington State University, where he also served as the Department Chair.

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ª×èÍ˹ѧÊ×ÍGraph Theory with Applications to Engineering and Computer Science
Dover Books on Mathematics
¼Ùéáµè§Narsingh Deo
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¼Ùé¨Ñ´¾ÔÁ¾ìCourier Dover Publications, 2016
ISBN0486807932, 9780486807935
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