<p>Spectra of a graph refer to the eigenvalues of the matrix associated with it. The graph energy is defined as the sum of the absolute values of the eigenvalues of the adjacency matrix. In this paper, I obtain the spectra of the adjacency matrix and its properties, as well as the graph energy, for the King's graph with 1 row and n columns, 2 rows and n columns, 3 rows and n columns, m rows and n columns. This study is also extended to the square King's graph, which contains n rows and n columns.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Spectral properties of king’s graph

  • A. Dhanalakshmi

摘要

Spectra of a graph refer to the eigenvalues of the matrix associated with it. The graph energy is defined as the sum of the absolute values of the eigenvalues of the adjacency matrix. In this paper, I obtain the spectra of the adjacency matrix and its properties, as well as the graph energy, for the King's graph with 1 row and n columns, 2 rows and n columns, 3 rows and n columns, m rows and n columns. This study is also extended to the square King's graph, which contains n rows and n columns.