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On the distance spectral gap and construction of D-equienergetic graphs
Haritha T, Chithra A.
Let denote the distance matrix of a connected graph with vertices. The distance spectral gap of a graph is defined as , where and $ρ_2…
Constructions of -cospectral graphs using some corona operations
Najiya V K, Chithra A
Let ,$ G_1 \sqcupdot G_2 $ and $ G_1 \sqcupplus G_2$ denote the total corona, -vertex corona and -edge corona of two graphs and , respecti…
Resistance distance and Kirchhoff index in central vertex join and central edge join of two graphs
Haritha T, Chithra A
The central graph of a graph is the graph obtained by inserting a new vertex into each edge of exactly once and joining all the non-adjacent vertices in . Let $G_…
-energy of graphs formed by some unary operations
Najiya V K, Chithra A
Let be a graph on vertices with adjacency matrix and degree matrix . For each , the -matrix is defined as . In…
Resistance distance in -coalescence of certain graphs
Haritha T, Chithra A
Any graph can be considered as a network of resistors, each of which has a resistance of The resistance distance between a pair of vertices and in a graph i…
A study on -spectrum and -energy of unitary addition Cayley graphs
Najiya V K, Chithra A, Naveen Palanivel
The unitary addition Cayley graph , is the graph whose vertex set is , the ring of integers modulo and two vertices and are adjacent if and only if…
A study on -coalescence of two graphs
Najiya V K, Chithra A
The -coalescence of two graphs is obtained by merging a -clique of each graph. The -matrix of a graph is the convex combination of its degree matrix and adjacency matrix…
Construction of non-regular -cospectral graphs from some join of graphs
Najiya V K, Chithra A
Cospectral graphs are a fascinating concept in graph theory, where two non-isomorphic graphs possess identical sets of eigenvalues. In this paper, we compute the -characterist…