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Masood Ur Rehman
University of Science and Technology of China (USTC), School of Mathematical Sciences.
Computer Science & IT Decision Sciences, Operations Research & Management

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Laplacian energy of trees with at most 10 vertices Masood Ur Rehman; Muhammad Ajmal; Tayyab Kamran
Indonesian Journal of Combinatorics Vol 2, No 1 (2018)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (193.459 KB) | DOI: 10.19184/ijc.2018.2.1.3

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.
Co-Authors Muhammad Ajmal Tayyab Kamran