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math.CO2023
Bounds and extremal graphs for the energy of complex unit gain graphs
Aniruddha Samanta, M. Rajesh Kannan
A complex unit gain graph (-gain graph), is a graph where the gain function assigns a unit complex number to each orientation of an edge of an…
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…