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Results on diameter-stable graphs related to girth
Authors:Cheng-de Xu  Rui Gu
Institution:Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China
Abstract:A graph G is said to be an (l, d)-graph (with respect to edges) if d(G-E)  d, ?E ? E(G) such that | E | l ? 1.
The l-diameter-stable graphs are (l, d)-graphs with diameter d. In this paper some new results on diameter-stable graphs are
obtained.
Keywords:diameter-stable graph  line-persistence  girth  isomorphic  short(x  y)-path
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