Fair allocation algorithms for indivisible items under structured conflict constraints
Nina Chiarelli,
Matjaž Krnc,
Martin Milanič
et al.
Abstract:We consider the fair allocation of indivisible items to several agents with additional conflict constraints. These are represented by a conflict graph where each item corresponds to a vertex of the graph and edges in the graph represent incompatible pairs of items which should not be allocated to the same agent. This setting combines the issues of Partition and Independent Set and can be seen as a partial coloring of the conflict graph. In the resulting optimization problem, each agent has its own valuation fu… Show more
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