AXIOMATIC CHARACTERIZATION OF THE ANTIMEDIAN FUNCTION ON PATHS AND HYPERCUBES

DOI10.1142/S1793830912500541zbMath1257.05030OpenAlexW3021045081MaRDI QIDQ4903640

Manoj Changat, Kannan Balakrishnan, Henry Martyn Mulder, Ajitha R. Subhamathi

Publication date: 24 January 2013

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793830912500541

zbMATH Keywords

hypercubeconsistencypathanonymityconsensus axiomconsensus functionantimedian

Mathematics Subject Classification ID

Hypergraphs (05C65) Paths and cycles (05C38) Discrete location and assignment (90B80) Distance in graphs (05C12) Graph theory (05C99)

Related Items (6)

An ABC-problem for location and consensus functions on graphs ⋮ Axiomatization and the antimean function on paths ⋮ Axioms for consensus functions on the \(n\)-cube ⋮ Axiomatic characterization of the center function. The case of non-universal axioms ⋮ Axiomatic characterization of the center function. the case of universal axioms ⋮ Axiomatic characterization of the median and antimedian function on a complete graph minus a matching

Cites Work

• An axiomatization of the median procedure on the \(n\)-cube
• On the remoteness function in median graphs
• An axiomatic characterization of some locations in trees
• The majority strategy on graphs
• The median procedure on median graphs
• Handbook of social choice and welfare. Vol. 1.
• Computing median and antimedian sets in median graphs
• The center function on trees
• AXIOMATIC CHARACTERIZATION OF THE MEAN FUNCTION ON TREES
• An Axiomatic Approach to Location on Networks

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