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» The Whitney Algebra of a Matroid
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JCT
2010
98views more  JCT 2010»
13 years 1 months ago
Lifts of matroid representations over partial fields
There exist several theorems which state that when a matroid is representable over distinct fields 1,..., k, it is also representable over other fields. We prove a theorem, the Li...
Rudi Pendavingh, Stefan H. M. van Zwam
IMAMS
2007
157views Mathematics» more  IMAMS 2007»
13 years 7 months ago
Regularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
Lionel Alberti, Bernard Mourrain
DCG
2002
66views more  DCG 2002»
13 years 6 months ago
A Commutative Algebra for Oriented Matroids
Let V be a vector space of dimension d over a field K and let A be a central arrangement of hyperplanes in V. To answer a question posed by K. Aomoto, P. Orlik and H. Terao constru...
Raul Cordovil
CDC
2008
IEEE
113views Control Systems» more  CDC 2008»
14 years 25 days ago
Model reduction for a class of input-quantized systems in the max-plus algebra
Abstract— We present a systematic method for model reduction of a class of input-quantized systems in the max-plus algebra. We consider a generalization of the flow shop with ...
Whitney Weyerman, Sean Warnick
SIAMCOMP
2002
95views more  SIAMCOMP 2002»
13 years 6 months ago
A Linear Algorithm for Finding the Invariant Edges of an Edge-Weighted Graph
Given an edge-weighted graph where all weights are nonnegative reals, an edge reweighting is an assignment of nonnegative reals to edges such that, for each vertex, the sums of giv...
Francesco M. Malvestuto, Mauro Mezzini