TY - JOUR
AU - Gamorez, Anabel
AU - Canoy Jr., Sergio
PY - 2022/04/30
Y2 - 2022/09/29
TI - Monophonic Eccentric Domination Numbers of Graphs
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 15
IS - 2
SE -
DO - 10.29020/nybg.ejpam.v15i2.4354
UR - https://www.ejpam.com/index.php/ejpam/article/view/4354
SP - 635-645
AB - <p>Let G be a (simple) undirected graph with vertex and edge sets V (G) and E(G), respectively. A set S ⊆ V (G) is a monophonic eccentric dominating set if every vertex in V (G) \ S has a monophonic eccentric vertex in S. The minimum size of a monophonic eccentric dominating set in G is called the monophonic eccentric domination number of G. It is shown that the absolute difference of the domination number and monophonic eccentric domination number of a graph can be made arbitrarily large. We characterize the monophonic eccentric dominating sets in graphs resulting from the join, corona, and lexicographic product of two graphs and determine bounds on their monophonic eccentric domination numbers.</p>
ER -