On the 2-rainbow independent domination numbers of some graphs

Boštjan Gabrovšek (), Aljoša Peperko () and Janez Žerovnik ()
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Boštjan Gabrovšek: University of Ljubljana
Aljoša Peperko: University of Ljubljana
Janez Žerovnik: University of Ljubljana

Central European Journal of Operations Research, 2023, vol. 31, issue 3, No 8, 817-831

Abstract: Abstract By suitably adjusting the tropical algebra technique we compute the rainbow independent domination numbers of several infinite families of graphs including Cartesian products $$C_n \Box P_m$$ C n □ P m and $$C_n \Box C_m$$ C n □ C m for all n and $$m\le 5$$ m ≤ 5 , and generalized Petersen graphs P(n, 2) for $$n \ge 3$$ n ≥ 3 .

Keywords: Graph theory; Rainbow independent domination number; Path algebra; Tropical algebra; 05C69; 05C15; 15A80; 05C76; 05C85 (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10100-023-00840-w

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