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math.CO2025
When Are Standard Graph Products Isomorphic?
Priti Prasanna Mondal, M. Rajesh Kannan, Fouzul Atik
This article investigates the isomorphism problem for graphs derived from the four standard graph products: Cartesian, Kronecker (direct), strong, and lexicographic product. We pro…
math.CO2018
Resistance matrices of graphs with matrix weights
Fouzul Atik, Ravindra B Bapat, M. Rajesh Kannan
The \emph{resistance matrix} of a simple connected graph is denoted by , and is defined by , where is the resistance distance between the vertices …
math.CO2017
On distance and Laplacian matrices of trees with matrix weights
Fouzul Atik, M. Rajesh Kannan, R. B. Bapat
The \emph{distance matrix} of a simple connected graph is , where is the distance between the vertices and in . We consider a weighted tree $…