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Theoretical study of energy, inertia and nullity of phenylene and anthracene

Authors
  • Ahmad, Zaheer
  • Mufti, Zeeshan Saleem
  • Nadeem, Muhammad Faisal
  • Shaker, Hani
  • Siddiqui, Hafiz Muhammad Afzal
Type
Published Article
Journal
Open Chemistry
Publisher
Walter de Gruyter GmbH
Publication Date
May 13, 2021
Volume
19
Issue
1
Pages
541–547
Identifiers
DOI: 10.1515/chem-2020-0160
Source
De Gruyter
Keywords
Disciplines
  • Research Article
License
Green

Abstract

Energy of a molecule plays an important role in physics, chemistry and biology. In mathematics, the concept of energy is used in graph theory to help other subjects such as chemistry and physics. In graph theory, nullity is the number of zeros extracted from the characteristic polynomials obtained from the adjacency matrix, and inertia represents the positive and negative eigenvalues of the adjacency matrix. Energy is the sum of the absolute eigenvalues of its adjacency matrix. In this study, the inertia, nullity and signature of the aforementioned structures have been discussed.

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