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WIENER INDEX AND TRACEABLE GRAPHS

Part of: Graph theory

Published online by Cambridge University Press:  12 December 2012

LIHUI YANG
LIHUI YANG*
Affiliation:
College of Mathematics and Computer Science, Hunan City University, Yiyang City, Hunan 413000, PR China email [email protected]
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Abstract

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In this short paper, we show that, with three exceptions, if the Wiener index of a connected graph of order $n$ is at most $(n+ 5)(n- 2)/ 2$, then it is traceable.

Keywords

Wiener indexdegree sequencetraceable graph

MSC classification

Secondary: 05C12: Distance in graphs 05C07: Vertex degrees 05C45: Eulerian and Hamiltonian graphs
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 88 , Issue 3 , December 2013 , pp. 380 - 383
Copyright
Copyright ©2012 Australian Mathematical Publishing Association Inc. 

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