GRAPH THEORY - TUT

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GRAPH THEORYKeijo Ruohonen(Translation by Janne Tamminen, Kung-Chung Lee and Robert Pich )2013Contents1I DEFINITIONS AND FUNDAMENTAL , Trails, Paths, Circuits, Connectivity, Graphs and Isomorphism20II and (Fundamental) Circuits and (Fundamental) Cut Sets27III 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 T

GRAPH THEORY Keijo Ruohonen (Translation by Janne Tamminen, Kung-Chung Lee and Robert Piché) 2013

  Theory, Graph, Graph theory