Department of Computer Science | Institute of Theoretical Computer Science | CADMO
Prof. Emo Welzl and Prof. Bernd Gärtner
Mittagsseminar Talk Information |
Date and Time: Thursday, October 09, 2003, 12:15 pm
Duration: This information is not available in the database
Location: This information is not available in the database
Speaker: Sonoko Moriyama (The University of Tokyo)
A shellable simplicial complex C has a large number of shellings,
each of which is a total order of all facets in C satisfying some
combinatorial condition.
But the structure of such shellings has never been analyzed, although many
researchers have studied shellability itself until today.
In this talk, we propose a new concept, a shellable h-assignment, that
represents the fundamental property of each shelling, and show that all
shellings in C are classified into a family of disjoint sets
Ci
corresponding one-to-one to each shellable h-assignment such that each
Ci has the structure of an antimatroid.
We also show that a shellable h-assignment can be characterized explicitly.
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