Basic Terminology

  • Jin AkiyamaEmail author
  • Mikio Kano
Part of the Lecture Notes in Mathematics book series (LNM, volume 2031)


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.


Plane Graph Connected Graph Hamiltonian Cycle Simple Graph Edge Coloring 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Research Institute of Educational DevelopmentTokai UniversityTokyoJapan
  2. 2.Computer and Information SciencesIbaraki UniversityHitachiJapan

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