July 2010
Intermediate to advanced
576 pages
13h 3m
English
Content preview from Discrete Mathematics
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8
Graphs
The interest in the study of graph theory has increased due to its applicability in so many fields like artificial intelligence, electrical engineering, transportation system, scheduling problems, economics, chemistry and operations research.
8.1 DEFINITIONS AND BASIC CONCEPTS
Definition 8.1
A graph G = (V, E) is a mathematical structure consisting of two finite sets V and E. The elements of V are called vertices (or nodes) and the elements of E are called edges. Each edge is associated with a set consisting of either one or two vertices called its endpoints.
The correspondence from edges to endpoints is called edge-endpoint function. This function is generally denoted by γ. Due to this function, some authors denote graph by G = ( ...
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