TY - JOUR
AU - Saromines , Chrisley Jade
AU - Canoy Jr. , Sergio
PY - 2023/07/30
Y2 - 2023/11/29
TI - Another Look at Geodetic Hop Domination in a Graph
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 16
IS - 3
SE -
DO - 10.29020/nybg.ejpam.v16i3.4810
UR - https://ejpam.com/index.php/ejpam/article/view/4810
SP - 1568-1579
AB - <p>Let $G$ be an undirected graph with vertex and edge sets $V(G)$ and $E(G)$, respectively. A subset $S$ of vertices of $G$ is a geodetic hop dominating set if it is both a geodetic and a hop dominating set. The geodetic hop domination number of $G$ is the minimum cardinality among all geodetic hop dominating sets in $G$. Geodetic hop dominating sets in a graph resulting from the join of two graphs have been characterized. These characterizations have been used to determine the geodetic hop domination number of the graphs considered. A realization result involving the hop domination number and geodetic hop domination number is also obtained.</p>
ER -