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math.CO2023
On the maximum -spectral radius of unicyclic and bicyclic graphs with fixed girth or fixed number of pendant vertices
Joyentanuj Das, Iswar Mahato
For a connected graph , let be the adjacency matrix of and be the diagonal matrix of the degrees of the vertices in . The -matrix of is defined as…
math.CO2023
Inverse of the Squared Distance Matrix of a Complete Multipartite Graph
Joyentanuj Das, Sumit Mohanty
Let be a connected graph on vertices and be the length of the shortest path between vertices and in . We set for every vertex in . The…
math.CO2023
On the spectral radius of clique trees with a given zero forcing number
Joyentanuj Das
Let be the class of clique trees on vertices and zero forcing number , where and each block is a clique…
math.CO2023
Maximization of the spectral radius of block graphs with a given dissociation number
Joyentanuj Das, Sumit Mohanty
A connected graph is called a block graph if each of its blocks is a complete graph. Let be the class of block graphs on vertices with giv…