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A NEIGHBOURHOOD CONDITION FOR GRAPHS TO BE FRACTIONAL (k, m)-DELETED GRAPHS*

Published online by Cambridge University Press:  30 July 2009

SIZHONG ZHOU
SIZHONG ZHOU*
Affiliation:
School of Mathematics and Physics, Jiangsu University of Science and Technology, Mengxi Road 2, Zhenjiang, Jiangsu 212003, People's Republic of China e-mail: zsz_cumt@163.com
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Abstract

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Let G be a connected graph of order n, and let k ≥ 2 and m ≥ 0 be two integers. In this paper, we show that G is a fractional (k, m)-deleted graph if and for each pair of non-adjacent vertices x, y of G. This result is an extension of the previous result of Zhou [11].

Keywords

05C70

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 1 , January 2010 , pp. 33 - 40
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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