Szeged index of bipartite unicyclic graphs

Document Type : Full Length Article

Authors

Department of Mathematics, South China Normal University Guangzhou 510631, P.R. China

Abstract

The Szeged index of a connected graph G is defined as the sum of products n1(e|G)n2(e|G) over all edges e = uv of G where n1(e|G) and n2(e|G) are respectively the number of vertices of G lying closer to vertex u than to vertex v and the number of vertices of G lying closer to vertex v than to vertex u In this paper, we determine the n-vertex bipartite unicyclic graphs with the first, the second, the third and the fourth smallest Szeged indices.

Graphical Abstract

Szeged index of bipartite unicyclic graphs

Keywords

Main Subjects


References

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Volume 1, 1-2
June 2011
Pages 13-24
  • Receive Date: 10 January 2011
  • Revise Date: 10 February 2011
  • Accept Date: 13 March 2011
  • Publish Date: 01 June 2011