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Chapter 9 - Graph Theory
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Chapter 9. Graph Theory. 9.1 Introduction to Graphs. 9.2 Graph Terminology. 9.3 Represention and Isomorphism. 9.4 Connectivity. 9.5 Euler and Hamilton Paths.
Section 9.0
9.0.1
Chapter
9
Graph Theory 9.1 Introduction to Graphs 9.2 Graph Terminology 9.3 Represention and Isomorphism 9.4 Connectivity 9.5 Euler and Hamilton Paths 9.6* Shortest Path Problems 9.7 Planar Graphs 9.8 Graph Coloring
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.1 Introduction to Graphs
9.1
9.1.1
INTRODUCTION TO GRAPHS
Fig 9.1.1
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.1.2
Chapter 9 Graph Theory
Fig 9.1.2
OPTIONAL FEATURES of GRAPHS
Fig 9.1.3
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.1 Introduction to Graphs
CLASSROOM QUESTION
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.1.3
9.1.4
Chapter 9 Graph Theory
GRAPH-THEORETIC SOFTWARE
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.2 Graph Terminology
9.2
GRAPH TERMINOLOGY DEGREE
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.2.1
9.2.2
Chapter 9 Graph Theory
CLASSROOM EXERCISE
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.2 Graph Terminology
SOCIOLOGICAL APPLICATIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.2.3
9.2.4
Chapter 9 Graph Theory
GRAPH THEORETIC DEFINITIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.2 Graph Terminology
SPECIAL GRAPHS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.2.5
9.2.6
Chapter 9 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.2 Graph Terminology
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.2.7
9.2.8
Chapter 9 Graph Theory
REGULAR GRAPHS
CLASSROOM EXERCISES
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.2 Graph Terminology
BIPARTITE GRAPHS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.2.9
9.2.10
Chapter 9 Graph Theory
NEW GRAPHS FROM OLD
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.3 Representations & Isomorphism
9.3.1
9.3 REPRESENTATIONS & ISOMORPHISM INCIDENCE TABLE REPRESENTATION
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.3.2
Chapter 9 Graph Theory
INCIDENCE MATRIX REPRESENTATION
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.3 Representations & Isomorphism
9.3.3
ADJACENCY LIST REPRESENTATION
ADJACENCY MATRIX REPRESENTATION
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.3.4
Chapter 9 Graph Theory
GRAPH ISOMORPHISM
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.3 Representations & Isomorphism
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.3.5
9.3.6
Chapter 9 Graph Theory
SIMPLE ISOMORPHISM
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.3 Representations & Isomorphism
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.3.7
9.3.8
Chapter 9 Graph Theory
GRAPH ISOMORPHISM TESTING
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.3 Representations & Isomorphism
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.3.9
9.3.10
Chapter 9 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.3 Representations & Isomorphism
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.3.11
Section 9.4 Connectivity
9.4
CONNECTIVITY WALKS and PATHS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.4.1
9.4.2
Chapter 9 Graph Theory
SOME FINE POINTS OF WALKS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.4 Connectivity
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.4.3
9.4.4
Chapter 9 Graph Theory
CYCLE GRAPHS and ISOMORPHISM
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.4 Connectivity
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.4.5
9.4.6
Chapter 9 Graph Theory
CONNECTEDNESS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.4 Connectivity
NAIVE CONNECTEDNESS TEST
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.4.7
9.4.8
Chapter 9 Graph Theory
CUTPOINTS and CUTEDGES
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.5 Euler and Hamilton Tours
9.5.1
9.5 EULER AND HAMILTON TOURS KĂ–NIGSBERG BRIDGE PROBLEM
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.5.2
Chapter 9 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.5 Euler and Hamilton Tours
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.5.3
9.5.4
Chapter 9 Graph Theory
HAMILTONIAN TOURS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.5 Euler and Hamilton Tours
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.5.5
9.5.6
Chapter 9 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.5 Euler and Hamilton Tours
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.5.7
Section 9.7 Planar Graphs
9.7
PLANAR GRAPHS
ORIENTABLE SURFACES
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.7.1
9.7.2
Chapter 9 Graph Theory
NONORIENTABLE SURFACES
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.7 Planar Graphs
SPHERE and PLANE
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.7.3
9.7.4
Chapter 9 Graph Theory
JORDAN CURVE THEOREM
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.7 Planar Graphs
KURATOWSKI GRAPHS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.7.5
9.7.6
Chapter 9 Graph Theory
NONPLANARITY of
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.7 Planar Graphs
NONPLANARITY of
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.7.7
9.7.8
Chapter 9 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.7 Planar Graphs
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.7.9
9.7.10
Chapter 9 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.7 Planar Graphs
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.7.11
9.7.12
Chapter 9 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.7 Planar Graphs
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.7.13
9.7.14
Chapter 9 Graph Theory
EDGE-FACE INEQUALITY
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.7 Planar Graphs
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.7.15
9.7.16
Chapter 9 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.7 Planar Graphs
TWO NONPLANARITY CRITERIA
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.7.17
9.7.18
Chapter 9 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.8 Graph Coloring
9.8
GRAPH COLORING
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.8.1
9.8.2
Chapter 9 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.8 Graph Coloring
OBSTRUCTIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.8.3
9.8.4
Chapter 9 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.8 Graph Coloring
APPLICATIONS
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.8.5
9.8.6
Chapter 9 Graph Theory
GREEDY COLORING ALGORITHM
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.8 Graph Coloring
MAP COLORING
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.8.7
9.8.8
Chapter 9 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
Section 9.8 Graph Coloring
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
9.8.9
9.8.10
Chapter 9 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 6th Edition
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