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math.CO2019
Wiener index of graphs with fixed number of pendant or cut vertices
Dinesh Pandey, Kamal Lochan Patra
The Wiener index of a connected graph is defined as the sum of the distances between all unordered pair of its vertices. In this paper, we characterize the graphs which extremize t…
math.CO2019
On the minimum degree of the power graph of a finite cyclic group
Ramesh Prasad Panda, Kamal Lochan Patra, Binod Kumar Sahoo
The power graph of a finite group is the simple undirected graph whose vertex set is , in which two distinct vertices are adjacent if one of them is an inte…
math.SP2019
Laplacian eigenvalues of the zero divisor graph of the ring
Sriparna Chattopadhyay, Kamal Lochan Patra, Binod Kumar Sahoo
We study the Laplacian eigenvalues of the zero divisor graph of the ring and prove that is Laplacia…