Complementary distance Seidel equienergetic graphs

نویسندگان

1 Department of Mathematics, St. Aloysius College, Edathua, Alappuzha-689573, Kerala, India

2 Department of Mathematics, St. Aloysius College, Edathua, Alappuzha-689573, Kerala, India

3 Department of Mathematics, Mar Thoma College, Tiruvalla, Pathanamthitta-689103, India

doi
10.22061/jdma.2025.12527.1165
چکیده

The distance matrix, its eigenvalues, and the corresponding distance energy of a connected graph have been extensively studied in the literature. However, research on the Distance Seidel matrix associated with a connected graph remains in its developmental stages. The Distance Seidel matrix of a graph yields the Distance Seidel eigenvalues ∂1S ≥ ∂2S ≥ … , ∂nS, which together constitute the Distance Seidel spectrum of G. In [1], the authors introduced the complementary distance matrix and studied its properties. Motivated by these we introduce the complementary distance seidel matrix of a connected graph and obtain some results for some classes of graphs. In this paper, we investigate the Complementary Distance Seidel Spectrum of complement of line graphs of regular graphs.