Factors and Factorizations of Graphs pp 1-14 | Cite as

# Basic Terminology

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## Abstract

We introduce some graph theory definitions and notation which are needed to discuss factor theory in graphs. We begin with some notation on sets. If *X* is a subset of *Y*, then we write *X ⊆ Y* ; if *X* is a **proper subset** of *Y*, we write *X ⊂ Y*. For two disjoint subsets *A* and *B* of *Y*, we denote *A ? B* by *A* + *B*. Moreover, if *C* is a subset of *A*, then we write *A - C* for *A \ C*. The number of elements in a set *X* is denoted by *|X|* or #*X*.

## Keywords

Plane Graph Connected Graph Hamiltonian Cycle Simple Graph Edge Coloring
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Copyright information

© Springer-Verlag Berlin Heidelberg 2011