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Enumerating the decomposable neighbors of a decomposable graph under a simple perturbation scheme

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  • Thomas, Alun
  • Green, Peter J.

Abstract

Given a decomposable graph, we characterize and enumerate the set of pairs of vertices whose connection or disconnection results in a new graph that is also decomposable. We discuss the relevance of these results to Markov chain Monte Carlo methods that sample or optimize over the space of decomposable graphical models according to probabilities determined by a posterior distribution given observed multivariate data.

Suggested Citation

  • Thomas, Alun & Green, Peter J., 2009. "Enumerating the decomposable neighbors of a decomposable graph under a simple perturbation scheme," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 1232-1238, February.
    • Handle: RePEc:eee:csdana:v:53:y:2009:i:4:p:1232-1238
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    References listed on IDEAS

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    1. Hojsgaard, Soren & Thiesson, Bo, 1995. "BIFROST -- Block recursive models induced from relevant knowledge, observations, and statistical techniques," Computational Statistics & Data Analysis, Elsevier, vol. 19(2), pages 155-175, February.
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