Properties of markovian subgraphs of a decomposable graph
MICAI 2006: Advances in Artificial Intelligence, Proceedings(2006)
摘要
We explore the properties of subgraphs (called Markovian subgraphs) of a decomposable graph under some conditions. For a decomposable graph and a collection γ of its Markovian subgraphs, we show that the set of the intersections of all the neighboring cliques of contains . We also show that holds for a certain type of which we call a maximal Markovian supergraph of γ. This graph-theoretic result is instrumental for combining knowledge structures that are given in undirected graphs.
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关键词
markovian subgraphs,neighboring clique,graph-theoretic result,decomposable graph,undirected graph,certain type,knowledge structure,maximal markovian supergraph
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