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A.M.H. Gerards and F.B. Shepherd. The characterization of graphs with all subgraphs t-perfect. Technical report, 1995.

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Connections Between Semidefinite Relaxations of the.. - Laurent, Poljak, Rendl (1995)   (15 citations)  (Correct)

....the convex hull of the set of feasible solutions to the program (3. 4) The polytope ODD(G) in n is a relaxation of the stable set polytope, i.e. STAB(G) ODD(G) When STAB(G) ODD(G) the graph G is said to be t perfect (for recent progress on the characterization of t perfect graphs, see [GS95]) The set TH(G) is a positive semidefinite relaxation of the stable set polytope, i.e. STAB(G) TH(G) Indeed, if d 2 f0; 1g n is the incidence vector of a stable set of G and u : 1; d) 2 n 1 , then the matrix P : uu t satisfies (2.7) this shows that d belongs to TH(G) This ....

A.M.H. Gerards and F.B. Shepherd. The characterization of graphs with all subgraphs t-perfect. Technical report, 1995.


Polyhedral Techniques in Combinatorial Optimization I: Theory - Aardal, van Hoesel (1995)   (1 citation)  (Correct)

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A.M.H. Gerards and F.B. Shepherd (1995) "Characterization of the graphs with all subgraphs t-perfect" (in preparation).

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