Pallabi Manna

collaborators

4 papers

math.GR2024

On finite groups whose power graph is claw-free

Pallabi Manna, Santanu Mandal, Andrea Lucchini

A graph is called claw-free if it contains no induced subgraph isomorphic to the complete bipartite graph $K_{1, 3}$ . The undirected power graph of a group $G$ has vertices the ele…

math.CO2023

Co-maximal subgroup graph characterized by forbidden subgraphs

Pallabi Manna, Santanu Mandal, Manideepa Saha

In this communication, the co-maximal subgroup graph $Γ (G)$ of a finite group $G$ is examined when $G$ is a finite nilpotent group, finite abelian group, dihedral group $D_{n}$ , dicy…

math.CO2023

Further study on forbidden subgraphs of power graph

Santanu Mandal, Pallabi Manna

The undirected power graph (or simply power graph) of a group $G$ , denoted by $P (G)$ , is a graph whose vertices are the elements of the group $G$ , in which two vertices $u$ and $v$ …

math.CO2023

Intersection subgroup graph with forbidden subgraphs

Santanu Mandal, Pallabi Manna

Let $G$ be a group. The intersection subgroup graph of $G$ (introduced by Anderson et al. \cite{anderson}) is the simple graph $Γ_{S} (G)$ whose vertices are those non-trivial subgr…