Certain Energies of Graphs for Dutch Windmill and Double-Wheel Graphs

Author:

Wu Jing1ORCID,Ali Muhammad Arfan2,Mutee ur Rehman Hafiz3ORCID,Dou Yan4

Affiliation:

1. School of Science, Xijing University, Xi’an 710123, China

2. Virtual University of Pakistan, 54-Lawrence Road, Lahore, Pakistan

3. Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54000, Pakistan

4. Xinjiang Normal University, The Elementary Education College, The Children’s Education Practice Innovation Research Center in Xinjiang, Urumqi 830000, China

Abstract

Energy of a graph is defined as the sum of the absolute values of the eigenvalues of the adjacency matrix associated with the graph. In this research work, we find color energy, distance energy, Laplacian energy, and Seidel energy for the Dutch windmill graph of cycle lengths 4, 5, and 6. Also, we find the lower bounds of the double-wheel graph for energy, Seidel energy, color energy, distance energy, Laplacian energy, and Harary energy.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Mathematics

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