On 2-Rainbow Domination of Generalized Petersen Graphs P ( ck, k )

Simon Brezovnik, Darja Rupnik Poklukar and Janez Žerovnik ()
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Simon Brezovnik: Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva 6, 1000 Ljubljana, Slovenia
Darja Rupnik Poklukar: Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva 6, 1000 Ljubljana, Slovenia
Janez Žerovnik: Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva 6, 1000 Ljubljana, Slovenia

Mathematics, 2023, vol. 11, issue 10, 1-16

Abstract: We obtain new results on the 2-rainbow domination number of generalized Petersen graphs P ( c k , k ) . Exact values are established for all infinite families where the general lower bound 4 5 c k is attained. In all other cases lower and upper bounds with small gaps are given.

Keywords: rainbow domination; 2-rainbow domination number; generalized Petersen graphs (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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