TY - JOUR
TI - Vertex Cover Hop Dominating Sets in Graphs
PY - 2024/01/31
Y2 - 2024/10/15
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 17
IS - 1
DO - 10.29020/nybg.ejpam.v17i1.4978
UR - https://doi.org/10.29020/nybg.ejpam.v17i1.4978
SP - 93-104
AB - Let $G$ be a graph. Then a subset $C$ of vertices of $G$ is called a vertex cover hop dominating if $C$ is both a vertex cover and a hop dominating of $G$. The vertex cover hop domination number of $G$, denoted by $\gamma_{vch}(G)$, is the minimum cardinality among all vertex cover hop dominating sets in $G$. In this paper, we initiate the study of vertex cover hop domination in a graph and we determine its relations with other parameters in graph theory. We characterize the vertex cover hop dominating sets in some special graphs, join, and corona of two graphs and we finally obtain the exact values or bounds of the parameters of these graphs.
ER -