The Expected Values of Merrifield-Simmons Index in Random Phenylene Chains

Document Type : Research Paper

Authors

1 Xinjiang Normal University

2 Department of Mathematics, Xinjiang Normal University, Urumqi, Xinjiang 830054, P.R.China

3 Xinjiang University

4 Xinjiang normal University

Abstract

The Merrifield-Simmons index of a graph G is the number of independent sets in G. In this paper, we give exact formulae for the expected value of the Merrifield-Simmons index of random phenylene chains by means of auxiliary graphs.

Keywords

References

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Iranian Journal of Mathematical Chemistry
Volume 11, Issue 4
December 2020
Pages 271-281

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