Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

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)

Analyze the Structure of all Shellings by h-Assignments

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 C_i corresponding one-to-one to each shellable h-assignment such that each C_i has the structure of an antimatroid.
We also show that a shellable h-assignment can be characterized explicitly.

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