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On Squared Distance Matrix of Complete Multipartite Graphs
Joyentanuj Das, Sumit Mohanty
Let be a complete -partite graph on vertices. The distance between vertices and in , denoted by is defined…
Trees with Matrix Weights: Laplacian Matrix and Characteristic-like Vertices
Swetha Ganesh, Sumit Mohanty
It is known that there is an alternative characterization of characteristic vertices for trees with positive weights on their edges via Perron values and Perron branches. Moreover,…
On the spectral radius of bi-block graphs with given independence number
Joyentanuj Das, Sumit Mohanty
A connected graph is called a bi-block graph if each of its blocks is a complete bipartite graph. Let be the class of bi-block graph on ve…
Distance Matrix of Weighted Cactoid-type Digraphs
Joyentanuj Das, Sumit Mohanty
A strongly connected digraph is called a cactoid-type if each of its blocks is a digraph consisting of finitely many oriented cycles sharing a common directed path. In this article…