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EJC
2002
13 years 5 months ago
Bases in Orlik-Solomon Type Algebras
The Orlik-Solomon algebra of a matroid M is the quotient of the exterior algebra on the points by the ideal (M) generated by the boundaries of the circuits of the matroid. There i...
David Forge
CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 5 months ago
Matroid Pathwidth and Code Trellis Complexity
We relate the notion of matroid pathwidth to the minimum trellis state-complexity (which we term trellis-width) of a linear code, and to the pathwidth of a graph. By reducing from ...
Navin Kashyap
CORR
2010
Springer
80views Education» more  CORR 2010»
13 years 5 months ago
Separations of Matroid Freeness Properties
Properties of Boolean functions on the hypercube that are invariant with respect to linear transformations of the domain are among some of the most well-studied properties in the ...
Arnab Bhattacharyya, Elena Grigorescu, Jakob Nords...
JUCS
2007
105views more  JUCS 2007»
13 years 5 months ago
Graded Sparse Graphs and Matroids
: Sparse graphs and their associated matroids play an important role in rigidity theory, where they capture the combinatorics of some families of generic minimally rigid structures...
Audrey Lee, Ileana Streinu, Louis Theran
SODA
2012
ACM
249views Algorithms» more  SODA 2012»
11 years 8 months ago
Improved competitive ratio for the matroid secretary problem
The Matroid Secretary Problem, introduced by Babaioff et al. (2007), is a generalization of the Classical Secretary Problem. In this problem, elements from a matroid are presente...
Sourav Chakraborty, Oded Lachish