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A First Course in Graph Theory (Dover Books on Mathematics) by Gary Chartrand, Ping Zhang

By Gary Chartrand, Ping Zhang

Written via of the main in demand figures in the sphere of graph concept, this finished text provides a remarkably student-friendly method. aimed toward undergraduates taking a primary direction in graph conception, its sound but obtainable remedy emphasizes the historical past of graph concept and offers unique examples and lucid proofs. 2004 variation.

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Additional info for A First Course in Graph Theory (Dover Books on Mathematics)

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Decompositions . . . . . . . . . . . . . . . . . . . Proof Technique: Linear Independence . . . . . . . Coverings . . . . . . . . . . . . . . . . . . . . . . 5 Edge Cuts and Bonds . . . . . . . . . . . . . . . Edge Cuts . . . . . . . . . . . . . . . . . . . . . . Bonds . . . . . . . . . . . . . . . . . . . . . . . . Cuts in Directed Graphs . . . . . . . . . . . . . . 6 Even Subgraphs .

2 Spanning and Induced Subgraphs . . . . . . . . . Spanning Subgraphs . . . . . . . . . . . . . . . . . Proof Technique: Induction . . . . . . . . . . . . . Proof Technique: Contradiction . . . . . . . . . . Induced Subgraphs . . . . . . . . . . . . . . . . . Weighted Graphs and Subgraphs . . . . . . . . . . 3 Modifying Graphs . . . . . . . . . . . . . . . . Vertex Identification and Edge Contraction .

6 Even Subgraphs . . . . . . . . . . . . . . . . . The Cycle and Bond Spaces . . . . . . . . . . . . . 7 Graph Reconstruction . . . . . . . . . . . . . . The Reconstruction Conjecture . . . . . . . . . . . The Edge Reconstruction Conjecture . . . . . . . . ¨ bius Inversion . . . . . . . . . 8 Related Reading . . . . . . . . . . . . . . . . . Path and Cycle Decompositions .

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