1. Distance energy change of complete split graph due to edge deletion.
- Author
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Banerjee, Subarsha
- Subjects
- *
GRAPH connectivity , *INDEPENDENT sets , *ABSOLUTE value , *EIGENVALUES , *COMPLETE graphs , *BIPARTITE graphs - Abstract
The distance energy of a connected graph G is the sum of absolute values of the eigenvalues of the distance matrix of G. In this paper, we study how the distance energy of the complete split graph G S (m , n) = K m + K ¯ n changes when an edge is deleted from it. The complete split graph G S (m , n) consists of a clique on m vertices and an independent set on n vertices in which each vertex of the clique is adjacent to each vertex of the independent set. We prove that the distance energy of the complete split graph G S (m , n) always increases when an edge is deleted from it. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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