Minimum cost spanning tree problems with groups

  1. Bergantiños Cid, Gustavo
  2. Gómez Rúa, María
Libro:
XXXI Congreso Nacional de Estadística e Investigación Operativa ; V Jornadas de Estadística Pública: Murcia, 10-13 de febrero de 2009 : Libro de Actas

Editorial: Universidad de Murcia. Departamento de Estadística e Investigación Operativa

ISBN: 978-84-691-8159-1

Ano de publicación: 2009

Congreso: Congreso Nacional de Estadística e Investigación Operativa (31. 2009. Murcia)

Tipo: Achega congreso

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Resumo

We study minimum cost spanning tree problems with groups. We assume that agents are located in di erent villages, cities, etc. The groups are the agents of the same village. We introduce a rule for dividing the cost of connecting all agents to the source among the agents taking into account the group structure. We characterize this rule with several desirable properties. We prove that this rule coincides with the Owen value of the TU game associated with the irreducible matrix.

Fonte de datos: Dialnet