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Far East Journal of Applied Mathematics

Far East Journal of Applied Mathematics
Volume 96, Issue 4, Pages 195 - 211 (April 2017)
http://dx.doi.org/10.17654/AM096040195

EXTREMAL MATCHING ENERGY OF MOLECULAR GRAPHS WITH GIVEN MATCHING NUMBER TWO

Tingzeng Wu

Abstract:

Gutman and Wagner [8] proposed the concept of matching energy and pointed out that the chemical applications of matching energy go back to the 1970s. In this paper, we discuss the matching energies of molecular graphs with given matching number two. In particular, we characterize the graphs with the extremal matching energy in these graphs.

Keywords and phrases:

molecular graph, matching polynomial, matching number, matching energy.

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