TY - JOUR
AU - M. Murtaza
AU - I. Javaid
AU - M. Fazil
PY - 2020/07/15
Y2 - 2023/09/27
TI - Covering codes of a graph associated to a finite vector space
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 72
IS - 7
SE - Research articles
DO - 10.37863/umzh.v72i7.652
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/652
AB - UDC 512.5In this paper, we investigate the problem of covering the vertices of a graph associated to a finite vector space as introduced by Das [Commun. Algebra, 44, 3918 – 3926 (2016)], such that we can uniquely identify any vertex by examining the vertices that cover it. We use locating-dominating sets and identifying codes, which are closely related concepts for this purpose. We find the location-domination number and the identifying number of the graph and study the exchange property for locating-dominating sets and identifying codes.
ER -