Distance $k$-domination in some cycle related graphs

In this paper we determine distance k-domination number of graph obtained by duplication of vertices altogether by edges in cycle Cn, splitting graph of cycle Cn as well as graph obtained by duplication of edges altogether by vertices in cycle Cn.

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Veröffentlicht in:Mathematical notes (Miskolci Egyetem (Hungary)) 2018, Vol.19 (2), p.1223-1231
Hauptverfasser: Vaidya, S. K., Kothari, N. J.
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Sprache:eng
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Zusammenfassung:In this paper we determine distance k-domination number of graph obtained by duplication of vertices altogether by edges in cycle Cn, splitting graph of cycle Cn as well as graph obtained by duplication of edges altogether by vertices in cycle Cn.
ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2018.1163