Barkha Baloda

activity

20212024

most citedOn the idempotent graph of a ring

1 citations · 1 across the 9 of their papers we have counts for

collaborators

9 papers

math.RA2024

Upper ideal relation graphs associated to rings

Barkha Baloda, Jitender Kumar

Let $R$ be a ring with unity. The upper ideal relation graph $Γ_{U} (R)$ of the ring $R$ is a simple undirected graph whose vertex set is the set of all non-unit elements of $R$ and t…

math.CO2023★ 1 cited

On the idempotent graph of a ring

Praveen Mathil, Barkha Baloda, Jitender Kumar

Let $R$ be a ring with unity. The \emph{idempotent graph} $G_{Id} (R)$ of a ring $R$ is an undirected simple graph whose vertices are the set of all the elements of ring $R$ …

math.CO2023

Characterization of rings with genus two cozero-divisor graphs

Praveen Mathil, Barkha Baloda, Jitender Kumar

Let $R$ be a ring with unity. The cozero-divisor graph of a ring $R$ is an undirected simple graph whose vertices are the set of all non-zero and non-unit elements of $R$ and two d…

math.CO2022

Wiener index of the Cozero-divisor graph of a finite commutative ring

Barkha Baloda, Praveen Mathil, Jitender Kumar +1

Let $R$ be a ring with unity. The cozero-divisor graph of a ring $R$ , denoted by $Γ^{'} (R)$ , is an undirected simple graph whose vertices are the set of all non-zero and non-unit elem…

math.CO2022

Characterization of rings with planar, toroidal or projective planar prime ideal sum graphs

Praveen Mathil, Barkha Baloda, Jitender Kumar +1

Let $R$ be a commutative ring with unity. The prime ideal sum graph $PIS (R)$ of the ring $R$ is the simple undirected graph whose vertex set is the set of all nonzero proper…

math.CO2022

On the cozero-divisor graphs assosciated to rings

Praveen Mathil, Barkha Baloda Jitender Kumar

Let $R$ be a ring with unity. The cozero-divisor graph of a ring $R$ , denoted by $Γ^{'} (R)$ , is an undirected simple graph whose vertices are the set of all non-zero and non-unit elem…

math.CO2022

On the intersection ideal graph of semigroups

Barkha Baloda, Jitender Kumar

The intersection ideal graph $Γ (S)$ of a semigroup $S$ is a simple undirected graph whose vertices are all nontrivial left ideals of $S$ and two distinct left ideals $I, J$ are adj…

math.CO2022

Automorphisms of left Ideal relation graph over full matrix ring

Jitender Kumar, Barkha Baloda, Sanjeet Malhotra

The left-ideal relation graph on a ring $R$ , denoted by $Γ_{l - i} (R)$ , is a directed graph whose vertex set is all the elements of $R$ and there is a directed edge…

math.CO2021

On the inclusion ideal graph of semigroups

Barkha Baloda, Jitender Kumar

The inclusion ideal graph $I n (S)$ of a semigroup $S$ is an undirected simple graph whose vertices are all nontrivial left ideals of $S$ and two distinct left ideals $I, J…