Vipul Kakkar

activity

20122026

p

-Groups of Order

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8 citations · 16 across the 23 of their papers we have counts for

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Showing 2024Show all

4 papers · 1 filter

math.CO2024

The Minimal (Edge) Connectivity of Some Graphs of Finite Groups

Siddharth Malviy, Vipul Kakkar

In this paper, we classify all the finite groups $G$ such that the commuting graph $Γ_{C} (G)$ , order-sum graph $Γ_{O S} (G)$ and non-inverse graph $Γ_{N I} (G)$ are minimally edge connec…

math.CO2024

Finite groups whose commuting graphs are line graphs

Siddharth Malviy, Vipul Kakkar

The commuting graph $Γ (G)$ of a group $G$ is the simple undirected graph with group elements as a vertex set and two elements $x$ and $y$ are adjacent if and only if $x y = y x$ in $…

math.CO2024

Associating hypergraphs defined on loops

Siddharth Malviy, Vipul Kakkar

In this paper, we define a new hypergraph $H (V, E)$ on a loop $L$ , where $V$ is the set of points of the loop $L$ and $E$ is the set of hyperedges $e=\…

math.GR2024

Semidirect Product of Loops with Groups

Ratan Lal, Ramjash Gurjar, Vipul Kakkar

In this paper, we have studied the loops which are the semidirect products of a loop and a group. Also, the cummutant, nuclei and the center of such loops are studied.