Indonesian Journal of Combinatorics
Vol 2, No 1 (2018)

Laplacian energy of trees with at most 10 vertices

Masood Ur Rehman (University of Science and Technology of China (USTC), School of Mathematical Sciences.)
Muhammad Ajmal (University of Science and Technology of China (USTC), School of Mathematical Sciences.)
Tayyab Kamran (Department of Mathematics, Quaid-I-Azam University, Islamabad-Pakistan)

Article Info

Publish Date
12 Jun 2018

Abstract

Let Tn be the set of all trees with n ≤ 10 vertices. We show that the Laplacian energy of any tree Tn is strictly between the Laplacian energy of the path Pn and the star Sn, the authors partially proving that the conjecture hold for any tree Tn, where n ≤ 10.

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Journal Info
Indonesian Journal of Combinatorics
Website

Abbrev

ijc

Publisher

Indonesian Combinatorial Society

Subject

Computer Science & IT Decision Sciences, Operations Research & Management

Description

Indonesian Journal of Combinatorics (IJC) publishes current research articles in any area of combinatorics and graph theory such as graph labelings, optimal network problems, metric dimension, graph coloring, rainbow connection and other related topics. IJC is published by the Indonesian ...