Search Results

You are looking at 1 - 8 of 8 items for

  • Author or Editor: T. Bisztriczky x
Clear All Modify Search

For certain classes of neighbourly 4-polytopes P, any facet of P is strictly separated from an arbitrary fixed interior point of P by one of at most nine hyperplanes. This result, proved for the class of cyclic 4-polytopes by K. Bezdek and T. Bisztriczky, represents a verification of the Gohberg-Markus-Hadwiger Conjecture for the corresponding classes of dual polytopes P *.

Restricted access
Authors: T. Bisztriczky and J. Schaer
Restricted access
Restricted access
Authors: T. Bisztriczky, Ferenc Fodor and W. Kuperberg

Summary  

Foreword to this special volume of Discrete Geometry consists primarily of articles presented at one of three consecutive meetings held in Calgary and Banff during a period in May of 2005.

Restricted access
Authors: T. Bisztriczky, G. Fejes Tóth, F. Fodor and W. Kuperberg
Restricted access
Authors: T. Bisztriczky, G. Fejes Tóth, F. Fodor and W. Kuperberg
Restricted access

The Separation Problem, originally posed by K. Bezdek in [1], asks for the minimum number s(O, K) of hyperplanes needed to strictly separate an interior point O in a convex body K from all faces of K. It is conjectured that s(O, K) ≦ 2d in d-dimensional Euclidean space. We prove this conjecture for the class of all totally-sewn neighbourly 4-dimensional polytopes.

Restricted access