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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
A note on the distance and distance signless Laplacian spectral radius of complements of trees
Iswar Mahato, M. Rajesh Kannan
In this article, we show that the generalized tree shift operation increases the distance spectral radius, distance signless Laplacian spectral radius, and the -spectral radiu…
math.CO2023
Extremal problems for the eccentricity matrices of complements of trees
Iswar Mahato, M. Rajesh Kannan
The eccentricity matrix of a connected graph , denoted by , is obtained from the distance matrix of by keeping the largest nonzero entries in each row and ea…