Introduction to graph theory
著者
書誌事項
Introduction to graph theory
Prentice Hall, c1996
大学図書館所蔵 全25件
注記
Bibliography: p. 474-497
Includes index
内容説明・目次
内容説明
Flexibly designed for CS students needing math review. Also covers some advanced, cutting edge topics (running 120 pages and intended for grad students) in the last chapter (8). This text fits senior year or intro. grad course for CS and math majors.
目次
1. Fundamental Concepts. Definitions and examples. Paths and proofs. Vertex degrees and counting. Degrees and algorithmic proof. 2. Trees and Distance. Basic properties. Spanning trees and enumeration. Optimization and trees. Eulerian graphs and digraphs. 3. Matchings and Factors. Matchings in bipartite graphs. Applications and algorithms. Matchings in general graphs. 4. Connectivity and Paths. Cuts and connectivity. k-connected graphs. Network flow problems. 5. Graph Coloring. Vertex colorings and upper bounds. Structure of k-chromatic graphs. Enumerative aspects. 6. Edges and Cycles. Line graphs and edge-coloring. Hamiltonian cycles. Complexity. 7. Planar Graphs. Embeddings and Eulers formula. Characterization of planar graphs. Parameters of planarity. 8. Additional Topics. Perfect graphs. Matroids. Ramsey theory. More extremal problems. Random graphs. Eigenvalues of graphs. Glossary of Terms. Glossary of Notation. References. Author Index. Subject Index.
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