# Handbook of discrete and combinatorial mathematics pdf

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## Graph theory discrete mathematics

In mathematics , and more specifically in graph theory , a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related". The objects correspond to mathematical abstractions called vertices also called nodes or points and each of the related pairs of vertices is called an edge also called link or line. Graphs are one of the objects of study in discrete mathematics. The edges may be directed or undirected. For example, if the vertices represent people at a party, and there is an edge between two people if they shake hands, then this graph is undirected because any person A can shake hands with a person B only if B also shakes hands with A. In contrast, if any edge from a person A to a person B corresponds to A owes money to B , then this graph is directed, because owing money is not necessarily reciprocated. The former type of graph is called an undirected graph while the latter type of graph is called a directed graph.
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## Discrete Math 6.3.1 Permutations and Combinations

There are glossaries at the beginning of each chapter.

## SearchWorks Catalog

Haynes Michael A. A network has points, it is a graph with a chromatic number of 2. Alternatively, connected by lines. Helmut Alt.

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ShankarG. Logi sisse Registreeri. Path graphs can be characterized as connected graphs in which the degree of all but two vertices is 2 and the degree of the two remaining vertices is 1. Shier 11 Partially Ordered Sets 36 Retrieved 8 August .

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Grantham Carl Combinahorial 4. The material is presented so that key information can be located and used quickly and easily. Categories : Graph theory. The mathematics in these applications is collectively called discrete mathematics.