The 2-rainbow domination number of Cartesian product of cyclesBrezovnik, Simon (Avtor) Rupnik Poklukar, Darja (Avtor) Žerovnik, Janez (Avtor) 2-rainbow dominationdomination numberCartesian productA k-rainbow dominating function (kRDF) of G is a function that assigns subsets of {1, 2, ..., k} to the vertices of G such that for vertices v with f(v) = ∅ we have ⋃{u ∈ N(v)}f(u) = {1, 2, ..., k}. The weight w(f) of a kRDF f is defined as w(f) = ∑{v ∈ V(G)}|f(v)|. The minimum weight of a kRDF of G is called the k-rainbow domination number of G, which is denoted by γrk(G). In this paper, we study the 2-rainbow domination number of the Cartesian product of two cycles. Exact values are given for a number of infinite families and we prove lower and upper bounds for all other cases.Založba Univerze na Primorskem20252025-10-21 23:16:33Članek v reviji21999UDK: 51eISSN: 1855-3974DOI: https://doi.org/10.26493/1855-3974.3168.74dsl