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math.CO2024
On the Sombor index of the total graph and the unit graph of commutative rings
Abhishek Vaibhav Pathak, Anukul Sachan, Raisa DSouza
In this paper, we investigate the Sombor index of the total graph and unit graph of which is denoted by and respectively for $n…
math.CO2024
Two Laplacians for the resistance distance matrix of a graph
Shivani Tushar Parab, Raisa DSouza
In this paper, we present two new matrices, namely the resistance Laplacian and resistance signless Laplacian matrix of a connected graph. We provide a generalized form of these ma…