k-Rainbow Domination Number of P3□Pn
Department of network technology, South China Institute of Software Engineering, Guangzhou 510990, China
Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China
South China Business College, Guang Dong University of Foreign Studies, Guangzhou 510545, China
Department of Mathematics and Computer Science, Sirjan University of Technology, Sirjan 7813733385, Iran
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz 5375171379, Iran
School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
Author to whom correspondence should be addressed.
Received: 12 January 2019 / Revised: 5 February 2019 / Accepted: 19 February 2019 / Published: 21 February 2019
be a positive integer, and set
. For a graph G
, a k-rainbow dominating function
) of G
is a mapping
in such a way that, for any vertex
with the empty set under f
, the condition
always holds, where
is the open neighborhood of v
. The weight of kRDF f
is the summation of values of all vertices under f
. The k-rainbow domination number
, denoted by
, is the minimum weight of a kRDF
. In this paper, we obtain the k-rainbow domination number
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MDPI and ACS Style
Wang, Y.; Wu, X.; Dehgardi, N.; Amjadi, J.; Khoeilar, R.; Liu, J.-B. k-Rainbow Domination Number of P3□Pn. Mathematics 2019, 7, 203.
Wang Y, Wu X, Dehgardi N, Amjadi J, Khoeilar R, Liu J-B. k-Rainbow Domination Number of P3□Pn. Mathematics. 2019; 7(2):203.
Wang, Ying; Wu, Xinling; Dehgardi, Nasrin; Amjadi, Jafar; Khoeilar, Rana; Liu, Jia-Bao. 2019. "k-Rainbow Domination Number of P3□Pn." Mathematics 7, no. 2: 203.
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