Determination of the star valency of a graph

نویسندگان

  • Jinquan Dong
  • Yanpei Liu
  • Cun-Quan Zhang
چکیده

The star valency of a graph G is the minimum, over all star decompositions , of the maximum number of elements in incident with a vertex. The maximum average degree of G, denoted by dmax-ave(G), is the maximum average degree of all subgraphs of G. In this paper, we prove that the star valency of G is either dmax-ave(G)=2 or dmax-ave(G)=2 +1, and provide a polynomial time algorithm for determining the star valency of a graph. ? 2002 Elsevier Science B.V. All rights reserved.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 126  شماره 

صفحات  -

تاریخ انتشار 2003