A generalization of obligation rules for minimum cost spanning tree problems

Gustavo Bergantiños, Leticia Lorenzo and Silvia Lorenzo-Freire

European Journal of Operational Research, 2011, vol. 211, issue 1, 122-129

Abstract: Tijs et al. [23] introduce the family of obligation rules for minimum cost spanning tree problems. We give a generalization of such family. We prove that our family coincides with the set of rules satisfying an additivity property and a cost monotonicity property. We also provide two new characterizations for the family of obligation rules using the previous properties. In the first one, we add a property of separability; and in the second one, we add core selection.

Keywords: Minimum; cost; spanning; tree; problems; Obligation; rules; Monotonicity; properties (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:211:y:2011:i:1:p:122-129

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