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JCT
2010
98views more  JCT 2010»
14 years 11 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
JCT
2010
79views more  JCT 2010»
14 years 11 months ago
Confinement of matroid representations to subsets of partial fields
Let M be a matroid representable over a (partial) field and B a matrix representable over a sub-partial field . We say that B confines M to if, whenever a -representation matrix ...
Rudi Pendavingh, Stefan H. M. van Zwam
CPC
2000
57views more  CPC 2000»
15 years 4 months ago
Zeros Of Reliability Polynomials And F-Vectors Of Matroids
Abstract. For a nite multigraphG, the reliability function of G is the probability RG(q) that if each edge of G is deleted independently with probability q then the remaining edges...
David G. Wagner
DISOPT
2008
107views more  DISOPT 2008»
15 years 4 months ago
The k-path tree matroid and its applications to survivable network design
We define the k-path tree matroid, and use it to solve network design problems in which the required connectivity is arbitrary for a given pair of nodes, and 1 for the other pairs...
Esther M. Arkin, Refael Hassin
LMCS
2006
119views more  LMCS 2006»
15 years 4 months ago
The monadic second-order logic of graphs XVI : Canonical graph decompositions
This article establishes that the split decomposition of graphs introduced by Cunnigham, is definable in Monadic Second-Order Logic.This result is actually an instance of a more ge...
Bruno Courcelle