8 papers
On Generalized von Neumann Inverse Graphs of Finite Commutative Regular Rings
Felicia Servina Djuang, Indah Emilia Wijayanti, Yeni Susanti
Let be a ring with identity. The generalized von Neumann inverse graph of , denoted by , is defined as the graph whose vertex set is , where two distinc…
Prime Square Order Cayley Graph of Cyclic Groups of Particular Valency
Iqbal Atmaja, Ahmad Erfanian, Yeni Susanti +2
As a vital link between group theory and graph theory, Cayley graphs provide a geometric framework for encoding algebraic structures. This study explores the properties of Cayley g…
On Some Bi-Cayley Graphs over Cyclic Groups of Order and Related Extensions
Iqbal Atmaja, Yeni Susanti, Ahmad Erfanian
We investigate structural and combinatorial properties of Bi-Cayley graphs defined over cyclic groups of order , where and are distinct primes. We begin by describi…
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…