The Quasi-Order of Matching Energy of Circum Graph with Chord - Applied Mathematics

AM > Vol.8 No.8, August 2017

Applied Mathematics

Volume 8, Issue 8 (August 2017)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

The Quasi-Order of Matching Energy of Circum Graph with Chord ()

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DOI: 10.4236/am.2017.88088 1,137 Downloads 1,768 Views Citations

Author(s)

Ning Zhao, Yinkui Li

Affiliation(s)

School of Mathematics and Statistics, Qinghai Nationalities University, Xining, China.

ABSTRACT

The matching energy of graph G is defined as

, where

be the roots of matching polynomial of graph G. In order to compare the energies of a pair of graphs, Gutman and Wager further put forward the concept of quasi-order relation. In this paper, we determine the quasiorder relation on the matching energy for circum graph with one chord.

KEYWORDS

Matching Polynomial, Matching Energy, Matching Root

Share and Cite:

Zhao, N. and Li, Y. (2017) The Quasi-Order of Matching Energy of Circum Graph with Chord. Applied Mathematics, 8, 1180-1185. doi: 10.4236/am.2017.88088.

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