A Helly-type theorem for intersections of orthogonally starshaped sets in (sic)(d)

作者：Breen Marilyn^*

来源：Periodica Mathematica Hungarica, 2014, 68(1): 45-53.

DOI：10.1007/s10998-014-0014-7

• Orthogonal polytope
• Staircase starshaped set

Let kappa be a finite family of orthogonal polytopes in (sic)(d) such that, for every nonempty subfamily kappa' of kappa, boolean AND{K : K in kappa'}, if nonempty, is a finite union of boxes whose intersection graph is a tree. Assume that every d + 1 (not necessarily distinct) members of kappa meet in a (nonempty) staircase starshaped set. Then S boolean AND{K : K in kappa} is nonempty and staircase starshaped.

• 出版日期2014-3