Graver basis for an undirected graph and its application to testing the beta model of random graphs

Mitsunori Ogawa (), Hisayuki Hara and Akimichi Takemura

Annals of the Institute of Statistical Mathematics, 2013, vol. 65, issue 1, 212 pages

Abstract: In this paper, we give an explicit and algorithmic description of Graver basis for the toric ideal associated with a simple undirected graph and apply the basis for testing the beta model of random graphs by Markov chain Monte Carlo method. Copyright The Institute of Statistical Mathematics, Tokyo 2013

Keywords: Markov basis; Markov chain Monte Carlo; Rasch model; Toric ideal (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:spr:aistmt:v:65:y:2013:i:1:p:191-212

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DOI: 10.1007/s10463-012-0367-8

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