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math.CO2020
Strong cliques in diamond-free graphs
Nina Chiarelli, Berenice Martínez Barona, Martin Milanič +2
A strong clique in a graph is a clique intersecting all inclusion-maximal stable sets. Strong cliques play an important role in the study of perfect graphs. We study strong cliques…
cs.DM2020★ 2 cited
Fair allocation of indivisible items with conflict graphs
Nina Chiarelli, Matjaž Krnc, Martin Milanič +3
We consider the fair allocation of indivisible items to several agents and add a graph theoretical perspective to this classical problem. Namely, we introduce an incompatibility re…