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20222024
most citedStrong Resolving Graphs of Clean Graphs of Commutative Rings

1 citations · 2 across the 12 of their papers we have counts for

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12 papers

math.CO2024

The embedding of line graphs associated to the annihilator graph of commutative rings

Mohd Shariq, Praveen Mathil, Mohd Nazim +1

The annihilator graph of the commutative ring is an undirected graph with vertex set as the set of all non-zero zero divisors of , and two distinct vertices and…

math.CO2024

On line upper ideal relation graphs of rings

Mohd Shariq, Praveen Mathil, Jitender Kumar

The upper ideal relation graph of a commutative ring with unity is a simple undirected graph with the set of all non-unit elements of as a vertex set and two ver…

math.CO2024★ 1 cited

Strong Resolving Graphs of Clean Graphs of Commutative Rings

Praveen Mathil, Jitender Kumar

Let be a ring with unity. The clean graph of a ring is the simple undirected graph whose vertices are of the form , where is an idempotent element…

math.CO2023

Characterization of rings with genus two prime ideal sum graphs

Praveen Mathil, Jitender Kumar

Let be a commutative ring with unity. The prime ideal sum graph of the ring is a simple undirected graph whose vertex set is the set of nonzero proper ideals of and two…

math.CO2023

Laplacian spectrum of weakly zero-divisor graph of the ring

Mohd Shariq, Praveen Mathil, Jitender Kumar

Let be a commutative ring with unity. The weakly zero-divisor graph of the ring is the simple undirected graph whose vertices are nonzero zero-divisors of and t…

math.CO2023

On rings whose prime ideal sum graphs are line graphs

Praveen Mathil, Jitender Kumar

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

math.CO2023★ 1 cited

On the idempotent graph of a ring

Praveen Mathil, Barkha Baloda, Jitender Kumar

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

math.CO2023

Strong metric dimension of the prime ideal sum graph of a commutative ring

Praveen Mathil, Jitender Kumar, Reza Nikandish

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

math.CO2023

Characterization of rings with genus two cozero-divisor graphs

Praveen Mathil, Barkha Baloda, Jitender Kumar

Let be a ring with unity. The cozero-divisor graph of a ring is an undirected simple graph whose vertices are the set of all non-zero and non-unit elements of 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 be a ring with unity. The cozero-divisor graph of a ring , denoted by , 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 be a commutative ring with unity. The prime ideal sum graph of the ring 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 be a ring with unity. The cozero-divisor graph of a ring , denoted by , is an undirected simple graph whose vertices are the set of all non-zero and non-unit elem…