*Result*: Some algebraic hyperstructures related to zero forcing sets and forcing digraphs.
Title:
Some algebraic hyperstructures related to zero forcing sets and forcing digraphs.
Authors:
Golmohamadian, M.1 (AUTHOR) m.golmohamadian@modares.ac.ir, Zahedi, M. M.2 (AUTHOR) zahedi_mm@kgut.ac.ir, Soltankhah, N.3 (AUTHOR) soltan@alzahra.ac.ir
Source:
Journal of Algebra & Its Applications. Oct2019, Vol. 18 Issue 10, pN.PAG-N.PAG. 19p.
Subject Terms:
Database:
Academic Search Index
*Further Information*
*A zero forcing set is a new concept in Graph Theory which was introduced in recent years. In this paper, we investigate the relationship between zero forcing sets and algebraic hyperstructures. To this end, we present some new definitions by considering a zero forcing process on a graph G. These definitions help us analyze the zero forcing process better and construct various hypergroups and join spaces on the vertex set of graph G. Finally, we give some examples to clarify these hyperstructures. [ABSTRACT FROM AUTHOR]*