%0 Journal Article %T A generalization of zero-divisor graphs %J Journal of Algorithms and Computation %I University of Tehran %Z 2476-2776 %A Nasehpour, Peyman %D 2019 %\ 12/01/2019 %V 51 %N 2 %P 35-45 %! A generalization of zero-divisor graphs %K Zero-divisor graphs %K diameter %K Core %K cycle %K semigroups %K semimodule %R 10.22059/jac.2019.75141 %X In this paper, we introduce a family of graphs which is a generalization of zero-divisor graphs and compute an upper-bound for the diameter of such graphs. We also investigate their cycles and cores %U https://jac.ut.ac.ir/article_75141_8a05c25a3bf4b424370dde1982daf081.pdf