1 citations · 1 across the 8 of their papers we have counts for
13 papers
On the super graphs and reduced super graphs of some finite groups
Sandeep Dalal, Sanjay Mukherjee, Kamal Lochan Patra
For a finite group , let be an equivalence (equality, conjugacy or order) relation on and let be a (power, enhanced power or commuting) graph with vertex set . Th…
Some new central parts of connected graphs
Dinesh Pandey, Kamal Lochan Patra
The center, median and the security center are three central parts defined for any connected graph whereas the characteristic set, subtree core and core vertices are three central…
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…
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…
A conjecture on different central parts of binary trees
Dinesh Pandey, Kamal Lochan Patra
Let be the family of binary trees on vertices obtained by identifying the root of an rgood binary tree with a vertex of maximum eccentricity of a binary caterpillar. In t…
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…