Separation in totally-sewn 4-polytopes with the decreasing universal edge property
Por:
Bisztriczky T., Fodor F., Oliveros D.
Publicada:
1 ene 2012
Resumen:
The separation number s(O, P) of a d-polytope with respect to a point O in the interior of P is the minimum number of hyperplanes necessary to strictly separate O from any facet of P. According to the Separation Conjecture, s(O, P) ? 2 d for d-dimensional convex polytopes in ?. We verify the Conjecture for totally-sewn 4-polytopes with the property that the number of universal edges does not increase as the polytopes are constructed. © 2011 The Managing Editors.
Filiaciones:
Bisztriczky T.:
Department of Mathematics and Statistics, University of Calgary, 2500 University Dr. N.W, Calgary, AB T2N 1N4, Canada
Fodor F.:
Department of Mathematics and Statistics, University of Calgary, 2500 University Dr. N.W, Calgary, AB T2N 1N4, Canada
Department of Geometry, Bolyai Institute, University of Szeged, Aradi vértanúk tere 1, 6720 Szeged, Hungary
Oliveros D.:
Instituto de Matemáticas, Universidad Nacional Autónoma de México, Área de la investiga cióncientífica, Circuito Exterior, Ciudad Universitaria Coyoacán, 04510 México, D.F.0, Mexico
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