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Distributed Stable Matching with Similar Preference Lists

Authors Pankaj Khanchandani, Roger Wattenhofer



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Pankaj Khanchandani
Roger Wattenhofer

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Pankaj Khanchandani and Roger Wattenhofer. Distributed Stable Matching with Similar Preference Lists. In 20th International Conference on Principles of Distributed Systems (OPODIS 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 70, pp. 12:1-12:16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)
https://doi.org/10.4230/LIPIcs.OPODIS.2016.12

Abstract

Consider a complete bipartite graph of 2n nodes with n nodes on each side. In a round, each node can either send at most one message to a neighbor or receive at most one message from a neighbor. Each node has a preference list that ranks all its neighbors in a strict order from 1 to n. We introduce a non-negative similarity parameter D < n for the preference lists of nodes on one side only. For D = 0, these preference lists are same and for D = n-1, they can be completely arbitrary. There is no restriction on the preference lists of the other side. We show that each node can compute its partner in a stable matching by receiving O(n(D + 1)) messages of size O(log n) each. We also show that this is optimal (up to a logarithmic factor) if D is constant.
Keywords
  • distributed stable matching
  • similar preference lists
  • stable matching
  • stable marriage

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