2011arXiv (Cornell University)Open access

A note on global Markov properties for mixed graphs

Michael D. Eichler

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Abstract

Global Markov properties in mixed graphs are usually formulated in terms of the path-oriented m-separation or by use of augmented graphs (similar to moral graphs in the case of directed acyclic graphs). We provide an alternative characterization that can be easily implemented.

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Global Markov properties in mixed graphs are usually formulated in terms of the path-oriented m-separation or by use of augmented graphs (similar to moral graphs in the case of directed acyclic graphs). We provide an alternative characterization that can be easily implemented.

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Available abstract

Global Markov properties in mixed graphs are usually formulated in terms of the path-oriented m-separation or by use of augmented graphs (similar to moral graphs in the case of directed acyclic graphs). We provide an alternative characterization that can be easily implemented.

Key concepts: Markov chain, Pathwidth, Mixed graph, Path (computing), Combinatorics, Mathematics, Characterization (materials science), Indifference graph

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