Laplacian Minimum Hub Energy of a Graph


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Authors

  • Sultan Senan Mahde Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysuru, Karnataka, India
  • Shadi Ibrahim Khalaf Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysuru, Karnataka, India
  • Yasien Nafe Shawawreh Department of Mathematics, P.E.S College of Engineering, Mandya, Karnataka, India
  • B. Shanmukha Department of Mathematics, P.E.S College of Engineering, Mandya, Karnataka, India
  • Ahmed Mohammad Nour PG Department of Mathematics, P.E.S College of Science, Arts and Commerce, Mandya, Karnataka, India

Keywords:

Minimum hub set, Laplacian minimum hub matrix, Laplacian minimum hub eigenvalue, Laplacian minimum hub energy of a graph

Abstract

In this paper, we introduce Laplacian minimum hub energy $LE_H(G)$ of a graph $G$, and compute Laplacian minimum hub energies of some standard graphs, also for a number of well-known families of graphs. Upper and lower bounds for $LE_H(G)$ are established.

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Published

15-09-2020

How to Cite

Sultan Senan Mahde, Shadi Ibrahim Khalaf, Yasien Nafe Shawawreh, B. Shanmukha, & Ahmed Mohammad Nour. (2020). Laplacian Minimum Hub Energy of a Graph. International Journal of Mathematics And Its Applications, 8(3), 59–69. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/129

Issue

Vol. 8 No. 3 (2020)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.