Higher Lawrence configurations

Preprint

31 March 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0209326

Abstract

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.

Keywords

CONFIGURATIONS ANY CONFIGURATION
HIGHER LAWRENCE CONFIGURATIONS
LAWRENCE CONFIGURATIONS
HIGHER LAWRENCE
LATTICE VECTORS
LINEAR MODELS
GRAVER BASES

All Related Versions

Version 1, 2002-09-24, ArXiv
Version 2, 2002-09-30, ArXiv
Version 3, 2003-03-31, ArXiv
Published version: Journal of Combinatorial Theory, Series A, 103 (1), 151.

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