A Symmetry Index for Graphs
نویسندگان
چکیده
This note introduces a quantitative measure (S(G)) of the symmetry structure of a graph G. S(G) is called the index of symmetry of G and is a function of its structural information content and the order of its automorphism group. Properties of S(G) are examined and applications to special classes of graphs are presented. In particular, the index of symmetry of a class of alkanes is shown to be of order k, where k is the number of carbon atoms. A. MOWSHOWITZ AND MATTHIAS DEHMER 2
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