Article Per Year (5 Year)
p-Index From 2021 - 2026
0.23
P-Index
This Author published in this journals
All Journal Limits: Journal of Mathematics and Its Applications
Krisnawati, Vira Hari
Brawijaya University, Malang
Mathematics

Published : 1 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search

 1 
A Study of Energy on k-Splitting and k-Shadow Graphs Khuluq, Muhammad Husnul; Krisnawati, Vira Hari
Limits: Journal of Mathematics and Its Applications Vol 21, No 2 (2024)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v21i2.17282

Abstract

Let G=(V,E) be a graph. The k-splitting graph of G, denoted by S_k (G), is a graph constructed by adding to each vertex v of G as many as k new vertices such that the k new vertices are adjacent to the vertices that are adjacent to v. The k-shadow graph of G, denoted by D_k (G), is a graph constructed by taking k copies of G and connecting each of these vertices with each of its neighboring vertices. The energy of a graph G is defined as the sum of the absolute values of all eigenvalues in the matrix for the graph. In this article, we study the energy of the k-splitting graph and the k-shadow graph, which are the energy of the adjacency matrix, the energy of the maximum degree matrix, the energy of the minimum degree matrix. We also revise the Sombor energy of the k-splitting graph and the k-shadow graph and we compare this result with the results carried out by previous researchers.
Co-Authors Khuluq, Muhammad Husnul