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math.CO2025

On the resistance regular graphs

Haritha T, Chithra A

For a connected graph $G$ , its resistance distance matrix is denoted by $R (G)$ . A graph is called resistance regular if all the row (or column) sums of $R (G)$ are equal. We provide…

math.CO2025

On the distance spectral gap and construction of D-equienergetic graphs

Haritha T, Chithra A.

Let $D (G)$ denote the distance matrix of a connected graph $G$ with $n$ vertices. The distance spectral gap of a graph $G$ is defined as $I^´_{D^{G}} = I ¨ _{1} - I ¨ _{2}$ , where $I ¨ _{1}$ and…

math.CO2024

Constructions of $A_{I^} \pm$ -cospectral graphs using some corona operations

Najiya V K, Chithra A

Let $G_{1} ⊛ G_{2}$ ,$ G_1 \sqcupdot G_2 $ and $ G_1 \sqcupplus G_2$ denote the total corona, $Q$ -vertex corona and $Q$ -edge corona of two graphs $G_{1}$ and $G_{2}$ , respecti…