Minimum Cost Spanning Tree Problems with Restrictions on Coalitions
نویسندگان
چکیده
We focus on minimum cost spanning tree problems (mcstps) where agents need to be connected with a source directly or indirectly through other agents with the minimum cost. Mcstps have been studied as cooperative games, where all of agents cooperate to construct a minimum cost spanning tree (mcst), and share the cost of the mcst. There actually exist situations where some coalitions of agents are not admissible. In this paper, we consider restrictions on coalitions of agents for mcstps and define feasible networks with respect to set systems. We study the existence of spanning feasible networks and feasible arborescences. In addition, we study minimum cost feasible networks and cost allocation in a special case.
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