5 papers
Shuriken Graphs Arising from Clean Graphs of Rings and Their Properties Relative to Base Graphs
Felicia Servina Djuang, Indah Emilia Wijayanti, Yeni Susanti
Let be a finite ring with identity. The idempotent graph is the graph whose vertex set consists of the non-trivial idempotent elements of , where two distinct vertice…
Exploring the 3-Token Graph of Particular Graphs
Felicia Servina Djuang, Arizka Yuliana, Widi Bagaskara +1
This study investigates the properties of the 3-token graph derived from path graphs, with a particular focus on its structural characteristics and key attributes. We analyze how t…
Isomorphism of Clean Graphs over and Structural Insight into
Felicia Servina Djuang, Indah Emilia Wijayanti, Yeni Susanti
Let be a finite ring with identity. The clean graph of a ring is a graph whose vertices are pairs , where is an idempotent element and is a unit of…
The Unit-Zero Divisor Graph of a Commutative Ring
Vika Yugi Kurniawan, Yeni Susanti, Budi Surodjo
This paper introduces a new approach to associating a graph with a commutative ring. Let be a commutative ring with identity. The unit-zero divisor graph of a commutative ring…
Clean Graphs and Idempotent Graphs over Finite Rings: An Approach Based on Z_n
Felicia Servina Djuang, Indah Emilia Wijayanti, Yeni Susanti
Let be a finite ring with identity. The idempotent graph is the graph whose vertex set consists of the non-trivial idempotent elements of , where two distinct vertice…