Seidel energy of some large graphs

The Seidel energy of a simple graph $G$ is the sum of the absolute values of the eigenvalues of the Seidel matrix of $G$. In this paper, we construct some large graphs using graph operations like lexicographic product, corona and join operations on regular graphs and study their spectra and energy. As a consequence of this, we obtain seidel energy of particular graphs like $C_n [K_m], ~K_n [C_m], ~C_n [C_m] , ~K_n [K_m], ~C_n [Cay(Z_m; U_m)],\\ ~K_n [Cay(Z_m; U_m)], ~C_n\circ Cay(Z_m; U_m), ~K_n\circ Cay(Z_m; U_m), ~C_n\circ N_m, ~C_n\circ K_m, ~C_n\circ C_m,\\ ~K_n\circ K_m, ~W_{1, m}, ~W_{m, n}, ~W_{m+1}^n .$ By applying the above operations, we construct new classes of non co-spectral seidel equienergetic graphs.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-07-13
DOI
https://doi.org/10.5269/bspm.76753
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
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article

Seidel energy of some large graphs

Siva Kota Reddy, S. V. Roopa, M. A. Sriraj, D. P. Pushpa
Boletim da Sociedade Paranaense de Matemática
Graph theory and applications
article

Seidel energy of some large graphs

Siva Kota Reddy, S. V. Roopa, M. A. Sriraj, D. P. Pushpa
article en

Abstract

The Seidel energy of a simple graph $G$ is the sum of the absolute values of the eigenvalues of the Seidel matrix of $G$. In this paper, we construct some large graphs using graph operations like lexicographic product, corona and join operations on regular graphs and study their spectra and energy. As a consequence of this, we obtain seidel energy of particular graphs like $C_n [K_m], ~K_n [C_m], ~C_n [C_m] , ~K_n [K_m], ~C_n [Cay(Z_m; U_m)],\\ ~K_n [Cay(Z_m; U_m)], ~C_n\circ Cay(Z_m; U_m), ~K_n\circ Cay(Z_m; U_m), ~C_n\circ N_m, ~C_n\circ K_m, ~C_n\circ C_m,\\ ~K_n\circ K_m, ~W_{1, m}, ~W_{m, n}, ~W_{m+1}^n .$ By applying the above operations, we construct new classes of non co-spectral seidel equienergetic graphs.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
JSS Science and Technology University (IN), Visvesvaraya Technological University (IN)
Openalex Percentile: Top 70%
Graph theory and applications
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