k-domination on hexagonal cactus chains (CROSBI ID 188800)
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Podaci o odgovornosti
Majstorović, Snježana ; Klobučar, Antoaneta ; Došlić, Tomislav
engleski
k-domination on hexagonal cactus chains
In this paper we use the concept of $k$- domination, where $k\geq 1$. We determine minimum $k$-dominating sets and $k$-domination numbers of three special types of hexagonal cactus chains. Those are para-, meta- and ortho-chains. \\ For an arbitrary hexagonal chain $G_h$ of length $h\geq 1$ we establish the lower and the upper bound for $k$- domination number $\gamma_k$. As a consequence, we find the extremal chains due to $\gamma_k$.
$k$-dominating set ; $k$-domination number ; ortho-chain ; para-chain ; meta-chain
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Podaci o izdanju
Povezanost rada
Matematika