L g v e be an undirected graph with v 1 k let c1 , Applied Statistics

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L g v e be an undirected graph with v 1 k let c1

Let G = (V, E) be an undirected graph with V = {1, . . . , K}. Let C1, . . . , CL be the set of maximal cliques in G. Let p(x) = (1/Z)*exp [Sum_l=1toL(ψ_l(x_Cl))]
Show that if A, B, C ⊂ V are disjoint, and if C separates A from B, (all paths from A to B go through C) then X_A, X_B are conditionally independent given X_C .

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Applied Statistics: L g v e be an undirected graph with v 1 k let c1

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