We characterize pairs of convex sets A, B in the k-dimensional space with the property that every probability distribution (p1, ..., pk) has a repsesentation pt = a(i).b(i), a is-a-member-of, b is-a-member-of B. Minimal pairs with this property are antiblocking pairs of convex corners. This result is closely related to a new entropy concept. The main application is an information theoretic characterization of perfect graphs.

ENTROPY SPLITTING FOR ANTIBLOCKING CORNERS AND PERFECT GRAPHS / I., Csiszar; Korner, Janos; L., Lovasz; K., Marton; G., Simonyi. - In: COMBINATORICA. - ISSN 0209-9683. - STAMPA. - 10:1(1990), pp. 27-40. [10.1007/bf02122693]

ENTROPY SPLITTING FOR ANTIBLOCKING CORNERS AND PERFECT GRAPHS

KORNER, JANOS;
1990

Abstract

We characterize pairs of convex sets A, B in the k-dimensional space with the property that every probability distribution (p1, ..., pk) has a repsesentation pt = a(i).b(i), a is-a-member-of, b is-a-member-of B. Minimal pairs with this property are antiblocking pairs of convex corners. This result is closely related to a new entropy concept. The main application is an information theoretic characterization of perfect graphs.
1990
ams subject classification (1980): 05c15
01 Pubblicazione su rivista::01a Articolo in rivista
ENTROPY SPLITTING FOR ANTIBLOCKING CORNERS AND PERFECT GRAPHS / I., Csiszar; Korner, Janos; L., Lovasz; K., Marton; G., Simonyi. - In: COMBINATORICA. - ISSN 0209-9683. - STAMPA. - 10:1(1990), pp. 27-40. [10.1007/bf02122693]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/16082
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