Extremal Matching Energy of Complements of Trees

Tingzeng Wu; Weigen Yan; Heping Zhang

Discussiones Mathematicae Graph Theory (2016)

  • Volume: 36, Issue: 3, page 505-521
  • ISSN: 2083-5892

Abstract

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Gutman and Wagner proposed the concept of the matching energy which is defined as the sum of the absolute values of the zeros of the matching polynomial of a graph. And they pointed out that the chemical applications of matching energy go back to the 1970s. Let T be a tree with n vertices. In this paper, we characterize the trees whose complements have the maximal, second-maximal and minimal matching energy. Furthermore, we determine the trees with edge-independence number p whose complements have the minimum matching energy for p = 1, 2, . . . , [n/2]. When we restrict our consideration to all trees with a perfect matching, we determine the trees whose complements have the second-maximal matching energy.

How to cite

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Tingzeng Wu, Weigen Yan, and Heping Zhang. "Extremal Matching Energy of Complements of Trees." Discussiones Mathematicae Graph Theory 36.3 (2016): 505-521. <http://eudml.org/doc/285395>.

@article{TingzengWu2016,
abstract = {Gutman and Wagner proposed the concept of the matching energy which is defined as the sum of the absolute values of the zeros of the matching polynomial of a graph. And they pointed out that the chemical applications of matching energy go back to the 1970s. Let T be a tree with n vertices. In this paper, we characterize the trees whose complements have the maximal, second-maximal and minimal matching energy. Furthermore, we determine the trees with edge-independence number p whose complements have the minimum matching energy for p = 1, 2, . . . , [n/2]. When we restrict our consideration to all trees with a perfect matching, we determine the trees whose complements have the second-maximal matching energy.},
author = {Tingzeng Wu, Weigen Yan, Heping Zhang},
journal = {Discussiones Mathematicae Graph Theory},
keywords = {matching polynomial; matching energy; Hosoya index; energy},
language = {eng},
number = {3},
pages = {505-521},
title = {Extremal Matching Energy of Complements of Trees},
url = {http://eudml.org/doc/285395},
volume = {36},
year = {2016},
}

TY - JOUR
AU - Tingzeng Wu
AU - Weigen Yan
AU - Heping Zhang
TI - Extremal Matching Energy of Complements of Trees
JO - Discussiones Mathematicae Graph Theory
PY - 2016
VL - 36
IS - 3
SP - 505
EP - 521
AB - Gutman and Wagner proposed the concept of the matching energy which is defined as the sum of the absolute values of the zeros of the matching polynomial of a graph. And they pointed out that the chemical applications of matching energy go back to the 1970s. Let T be a tree with n vertices. In this paper, we characterize the trees whose complements have the maximal, second-maximal and minimal matching energy. Furthermore, we determine the trees with edge-independence number p whose complements have the minimum matching energy for p = 1, 2, . . . , [n/2]. When we restrict our consideration to all trees with a perfect matching, we determine the trees whose complements have the second-maximal matching energy.
LA - eng
KW - matching polynomial; matching energy; Hosoya index; energy
UR - http://eudml.org/doc/285395
ER -

References

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