activity
20062025
most citedVertex connectivity of the power graph of a finite cyclic group

19 citations · 26 across the 16 of their papers we have counts for

collaborators

17 papers

math.CO2025

On the minimum cut-sets of the power graph of a finite cyclic group, II

Sanjay Mukherjee, Kamal Lochan Patra, Binod Kumar Sahoo

The power graph of a finite group is the simple graph with vertex set and two distinct vertices are adjacent if one of them is a power of the other. Let $n…

math.CO2022★ 1 cited

On the minimum cut-sets of the power graph of a finite cyclic group

Sanjay Mukherjee, Kamal Lochan Patra, Binod Kumar Sahoo

The power graph of a finite group is the simple graph with vertex set , in which two distinct vertices are adjacent if one of them is a power of the other.…

math.CO2021

On the minimum degree of power graphs of finite nilpotent groups

Ramesh Prasad Panda, Kamal Lochan Patra, Binod Kumar Sahoo

The power graph of a group is the simple graph with vertex set and two vertices are adjacent whenever one of them is a positive power of the other. In this…

math.GR2021

Characterizing finite nilpotent groups associated with a graph theoretic equality

Ramesh Prasad Panda, Kamal Lochan Patra, Binod Kumar Sahoo

The power graph of a group is the simple graph whose vertices are the group elements and two vertices are adjacent whenever one of them is a positive power of the other. We charact…

math.CO2020★ 1 cited

Proper divisor graph of a positive integer

Hitesh Kumar, Kamal Lochan Patra, Binod Kumar Sahoo

The proper divisor graph of a positive integer is the simple graph whose vertices are the proper divisors of , and in which two distinct vertices are adjacent i…

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…