Detour domination number of some path and cycle related graphs
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DOI:
https://doi.org/10.26637/MJM0701/0004Abstract
The detour distance $D(u, v)$ between two vertices of a connected graph $G$ is the length of a longest path between them. A set $S$ of vertices of $G$ is called a detour dominating set if every vertex of $G$ is detour dominated by some vertex in $S$. A detour dominating set of minimum cardinality is a minimum detour dominating set and its cardinality is the detour domination number $\gamma_D(G)$. We have investigated detour domination number of larger graphs obtained from path and cycles by means of various graph operations.
Keywords:
Domination number, Detour distance, Detour domination numberMathematics Subject Classification:
Mathematics- Pages: 15-19
- Date Published: 01-01-2019
- Vol. 7 No. 01 (2019): Malaya Journal of Matematik (MJM)
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