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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.
KeywordsPlane Graph Connected Graph Hamiltonian Cycle Simple Graph Edge Coloring
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