Joe Repka

Structural and Hamiltonian Properties of the n–Array Unit Graphs Over Finite Rings

Consider a finite ring R, and let U( R ) denote the set of all its unit elements. The unit graph G_R of R is defined as follows: the vertex set V( G_R ) consists of all elements of R. Two distinct elements a,\ b∈ \ G_R are adjacent if and only if a + b∈ U( R ). Recent research has provided necessary and sufficient cond...