Transcription of GRAPH THEORY - TUT
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GRAPH THEORY - TUT
GRAPH THEORYK eijo Ruohonen(Translation by Janne Tamminen, Kung-Chung Lee and Robert Pich )2013 Contents1I DEFINITIONS AND FUNDAMENTAL , Trails, Paths, Circuits, Connectivity, Graphs and Isomorphism20II and (Fundamental) Circuits and (Fundamental) Cut Sets27 III DIRECTED Directed Graphs34IV MATRICES AND VECTOR SPACES OF Representation of Application: Stationary Linear overGF(2)and Vector Spaces of Graphs50V GRAPH Complexity of : Warshall s and Breadth-First Lightest Path: Dijkstra s Lightest Path: Floyd s Lightest Spanning Tree: Kruskal s and Prim s Lightest Hamiltonian Circuit (Travelling Salesman s Problem): The AnnealingAlgorithm and the Karp Held Matching in Bipartite Graphs: The Hungarian Flow in a Transport Network: The Ford Fulkerson Algorithmiii85VI DRAWING and Planar Davidson Harel Algorithm92 VII Circuit Matroid of a Basic General on Ma
CHAPTER 1. DEFINITIONS AND FUNDAMENTAL CONCEPTS 2 Remark. The two edges (u,v) and (v,u) are the same. In other words, the pair is not ordered. Example.
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