Higher Lawrence configurations

Details Higher Lawrence configurations Higher Lawrence configurations

2002-09-24

arxiv.org/abs/math/0209326v3

J. Combin. Theory, Ser. A. 103:1 (2003), 151-164.

Mathematics

Combinatorics

12 pages. Changes from v1 and v2: minor edits. This version is to appear in the Journal of Combinatorial Theory, Ser. A

Scientific paper

10.1016/S0097-3165(03)00092-X

Any configuration of lattice vectors gives rise to a hierarchy of
higher-dimensional configurations which generalize the Lawrence construction in
geometric combinatorics. We prove finiteness results for the Markov bases,
Graver bases and face posets of these configurations, and we discuss
applications to the statistical theory of log-linear models.

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