|
|
|
|
the signless laplacian estrada index of unicyclic graphs
|
|
|
|
|
|
|
|
نویسنده
|
ellahi hamid reza ,nasiri ramin ,fath-tabar gholam hossein ,gholami ahmad
|
|
منبع
|
mathematics interdisciplinary research - 2017 - دوره : 2 - شماره : 2 - صفحه:155 -167
|
|
چکیده
|
for a simple graph g , the signless laplacian estrada index is defined as slee(g)=σ^ n _i=1 e^ q^i, where q1; q2; : : : ; qn are the eigenvalues of the signless laplacian matrix of g . in this paper, we first characterize the unicyclic graphs with the first two largest and smallest $slee$’s and then determine the unique unicyclic graph with maximum $slee$ among all unicyclic graphs on n vertices with a given diameter. all extremal graphs, which have been introduced in our results are also extremal with respect to the signless laplacian resolvent energy.
|
|
کلیدواژه
|
signless laplacian estrada index ,unicyclic graphs ,extremal graphs ,diameter ,signless laplacian resolvent energy.
|
|
آدرس
|
university of qom, faculty of science, department of mathematics, ایران, university of qom, faculty of science, department of mathematics, ایران, university of kahsan, faculty of mathematical sciences, department of pure mathematics, ایران, university of qom, faculty of science, department of mathematics, ایران
|
|
پست الکترونیکی
|
a.gholami@qom.ac.ir
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|