Section 10.0
10.0.1
Chapter
10
Graph Theory
10.1 Introduction to Graphs
10.2 Graph Terminology
10.3 Represention and Isomorphism
10.4 Connectivity
10.5 Euler and Hamilton Paths
10.6* Shortest Path Problems
10.7 Planar Graphs
10.8 Graph Coloring
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.1 Introduction to Graphs
10.1
10.1.1
INTRODUCTION TO GRAPHS
Fig 10.1.1
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.1.2
Chapter 10 Graph Theory
Fig 10.1.2
OPTIONAL FEATURES of GRAPHS
Fig 10.1.3
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.1 Introduction to Graphs
CLASSROOM QUESTION
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.1.3
10.1.4
Chapter 10 Graph Theory
GRAPH-THEORETIC SOFTWARE
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.2 Graph Terminology
10.2
GRAPH TERMINOLOGY
DEGREE
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.2.1
10.2.2
Chapter 10 Graph Theory
CLASSROOM EXERCISE
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.2 Graph Terminology
SOCIOLOGICAL APPLICATIONS
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.2.3
10.2.4
Chapter 10 Graph Theory
GRAPH THEORETIC DEFINITIONS
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.2 Graph Terminology
SPECIAL GRAPHS
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.2.5
10.2.6
Chapter 10 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.2 Graph Terminology
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.2.7
10.2.8
Chapter 10 Graph Theory
REGULAR GRAPHS
CLASSROOM EXERCISES
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.2 Graph Terminology
BIPARTITE GRAPHS
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.2.9
10.2.10
Chapter 10 Graph Theory
NEW GRAPHS FROM OLD
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.3 Representations & Isomorphism
10.3.1
10.3 REPRESENTATIONS & ISOMORPHISM
INCIDENCE TABLE REPRESENTATION
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.3.2
Chapter 10 Graph Theory
INCIDENCE MATRIX REPRESENTATION
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.3 Representations & Isomorphism
10.3.3
ADJACENCY LIST REPRESENTATION
ADJACENCY MATRIX REPRESENTATION
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.3.4
Chapter 10 Graph Theory
GRAPH ISOMORPHISM
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.3 Representations & Isomorphism
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.3.5
10.3.6
Chapter 10 Graph Theory
SIMPLE ISOMORPHISM
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.3 Representations & Isomorphism
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.3.7
10.3.8
Chapter 10 Graph Theory
GRAPH ISOMORPHISM TESTING
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.3 Representations & Isomorphism
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.3.9
10.3.10
Chapter 10 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.3 Representations & Isomorphism
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.3.11
Section 10.4 Connectivity
10.4
CONNECTIVITY
WALKS and PATHS
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.4.1
10.4.2
Chapter 10 Graph Theory
SOME FINE POINTS OF WALKS
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.4 Connectivity
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.4.3
10.4.4
Chapter 10 Graph Theory
CYCLE GRAPHS and ISOMORPHISM
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.4 Connectivity
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.4.5
10.4.6
Chapter 10 Graph Theory
CONNECTEDNESS
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.4 Connectivity
NAIVE CONNECTEDNESS TEST
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.4.7
10.4.8
Chapter 10 Graph Theory
CUTPOINTS and CUTEDGES
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.5 Euler and Hamilton Tours
10.5.1
10.5 EULER AND HAMILTON TOURS
KÖNIGSBERG BRIDGE PROBLEM
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.5.2
Chapter 10 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.5 Euler and Hamilton Tours
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.5.3
10.5.4
Chapter 10 Graph Theory
HAMILTONIAN TOURS
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.5 Euler and Hamilton Tours
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.5.5
10.5.6
Chapter 10 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.5 Euler and Hamilton Tours
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.5.7
Section 10.7 Planar Graphs
10.7
PLANAR GRAPHS
ORIENTABLE SURFACES
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.7.1
10.7.2
Chapter 10 Graph Theory
NONORIENTABLE SURFACES
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.7 Planar Graphs
SPHERE and PLANE
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.7.3
10.7.4
Chapter 10 Graph Theory
JORDAN CURVE THEOREM
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.7 Planar Graphs
KURATOWSKI GRAPHS
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.7.5
10.7.6
Chapter 10 Graph Theory
NONPLANARITY of
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.7 Planar Graphs
NONPLANARITY of
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.7.7
10.7.8
Chapter 10 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.7 Planar Graphs
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.7.9
10.7.10
Chapter 10 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.7 Planar Graphs
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.7.11
10.7.12
Chapter 10 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.7 Planar Graphs
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.7.13
10.7.14
Chapter 10 Graph Theory
EDGE-FACE INEQUALITY
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.7 Planar Graphs
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.7.15
10.7.16
Chapter 10 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.7 Planar Graphs
TWO NONPLANARITY CRITERIA
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.7.17
10.7.18
Chapter 10 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.8 Graph Coloring
10.8
GRAPH COLORING
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.8.1
10.8.2
Chapter 10 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.8 Graph Coloring
OBSTRUCTIONS
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.8.3
10.8.4
Chapter 10 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.8 Graph Coloring
APPLICATIONS
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.8.5
10.8.6
Chapter 10 Graph Theory
GREEDY COLORING ALGORITHM
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.8 Graph Coloring
MAP COLORING
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.8.7
10.8.8
Chapter 10 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
Section 10.8 Graph Coloring
coursenotes by Prof. J. L. Gross for Rosen 7th Edition
10.8.9
10.8.10
Chapter 10 Graph Theory
coursenotes by Prof. J. L. Gross for Rosen 7th Edition