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The secret santa problem

  • UCL Interaction Centre
  • University College London

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Citations (Scopus)

Abstract

Consider a digraph where the vertices represent people and an arc (i,j) represents the possibility of i giving a gift to j. The basic question we pose is whether there is an anonymity-preserving "gift assignment" such that each person makes and receives exactly one gift, and such that no person i can infer the remaining gift assignments from the fact that i is assigned to give a gift to j. We formalize this problem as a graph property involving vertex disjoint circuit covers, give a polynomial algorithm to decide this property for any given graph and provide a computational validation of the algorithm.

Original languageEnglish
Title of host publicationAlgorithmic Aspects in Information and Management - 4th International Conference, AAIM 2008, Proceedings
PublisherSpringer Verlag
Pages271-279
Number of pages9
ISBN (Print)354068865X, 9783540688655
DOIs
Publication statusPublished - 1 Jan 2008
Event4th International Conference on Algorithmic Aspects in Information and Management, AAIM 2008 - Shanghai, China
Duration: 23 Jun 2008 → 25 Jun 2008

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5034 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference4th International Conference on Algorithmic Aspects in Information and Management, AAIM 2008
Country/TerritoryChina
CityShanghai
Period23/06/08 → 25/06/08

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