Survey of compositional graphoids with systematic examples, counterexamples, necessary and sufficient conditions, plus novel information-theoretic sufficient conditions for Intersection and Composition in discrete settings.
Matroid theory, volume 21 of Oxford Graduate Texts in Mathematics
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On the Intersection and Composition properties of conditional independence
Survey of compositional graphoids with systematic examples, counterexamples, necessary and sufficient conditions, plus novel information-theoretic sufficient conditions for Intersection and Composition in discrete settings.