Glasnik matematički, Vol. 49 No. 2, 2014.
Original scientific paper
https://doi.org/10.3336/gm.49.2.02
The graph of equivalence classes of zero-divisors of a poset
Hongxing Liu
; School of Mathematical Sciences, Shandong Normal University, 250014 Jinan, P. R. China
Abstract
In this paper, we give the definition of the graph of equivalence classes of zero-divisors of a poset P. We prove that if [a] has maximal degree in V(γE(P)), then ann(a) is maximal in Anih(P). Also, we give some other properties of the graph γE(P). Moreover, we characterize the cut vertices of γE(P) and study the cliques of these graphs.
Keywords
Zero-divisor graph; poset; cut vertex; equivalence class; clique
Hrčak ID:
130882
URI
Publication date:
18.12.2014.
Visits: 624 *