West, Douglas Brent.

Introduction to graph theory / by Douglas B. West. - Second edition. - NewDelhi : Prentice Hall, 2001. - xix, 588 pages : illustrations ; 25 cm.

Includes bibliographical references (pages 537-568) and indexes.

ch. 1. Fundamental concepts: What is a graph? -- Paths, cycles, and trails -- Vertex degrees and counting -- Directed graphs -- ch. 2. Trees and distance: Basic properties -- Spanning trees and enumeration -- Optimization and trees -- ch. 3. Matchings and factors: Matchings and covers -- Algorithms and applications -- Matchings in general graphs -- ch. 4. Connectivity and paths: Cuts and connectivity -- k-connected graphs -- Network flow problems -- ch. 5. Coloring of graphs: Vertex colorings and upper bounds -- Structure of k-chromatic graphs -- Enumerative aspects -- ch. 6. Planar graphs: Embeddings and Euler's formula -- Characterization of Planar graphs -- Parameters of planarity -- ch. 7. Edges and cycles: Line graphs and edge-coloring -- Hamiltonion cycles -- Planarity, coloring, and cycles -- ch. 8. Additional topics (optional): Perfect graphs -- Matroids -- Ramsey theory -- More extremeal problems -- Random graphs -- Eigenvalues of graphs.

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Graph theory.

QA166 / .W43 2001