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STOC
1995
ACM
115views Algorithms» more  STOC 1995»
13 years 8 months ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein
EJC
2008
13 years 3 months ago
Constructive characterizations of 3-connected matroids of path width three
A matroid M is sequential or has path width 3 if M is 3-connected and its ground set has a sequential ordering, that is, an ordering (e1, e2, . . . , en) such that ({e1, e2, . . . ...
Brian Beavers, James Oxley
ACID
2006
264views Algorithms» more  ACID 2006»
13 years 6 months ago
A Parameterized View on Matroid Optimization Problems
Matroid theory gives us powerful techniques for understanding combinatorial optimization problems and for designing polynomial-time algorithms. However, several natural matroid pr...
Dániel Marx
EJC
2002
13 years 5 months ago
Cycle Cover Ratio of Regular Matroids
A cycle in a matroid is a disjoint union of circuits. This paper proves that every regular matroid M without coloops has a set S of cycles whose union is E(M) such that every elem...
Hong-Jian Lai, Hoifung Poon
CRYPTO
2005
Springer
171views Cryptology» more  CRYPTO 2005»
13 years 10 months ago
On Codes, Matroids and Secure Multi-party Computation from Linear Secret Sharing Schemes
Error correcting codes and matroids have been widely used in the study of ordinary secret sharing schemes. In this paper, we study the connections between codes, matroids, and a s...
Ronald Cramer, Vanesa Daza, Ignacio Gracia, Jorge ...