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DM
2006
54views more  DM 2006»
13 years 7 months ago
A note on interconnecting matchings in graphs
We prove a sufficient condition for a graph G to have a matching that interconnects all the components of a disconnected spanning subgraph of G. The condition is derived from a re...
Tomás Kaiser
COCOON
2003
Springer
14 years 21 days ago
Matroid Representation of Clique Complexes
In this paper, we approach the quality of a greedy algorithm for the maximum weighted clique problem from the viewpoint of matroid theory. More precisely, we consider the clique c...
Kenji Kashiwabara, Yoshio Okamoto, Takeaki Uno
JCT
2010
98views more  JCT 2010»
13 years 2 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»
13 years 2 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
ESA
2011
Springer
260views Algorithms» more  ESA 2011»
12 years 7 months ago
On Variants of the Matroid Secretary Problem
We present a number of positive and negative results for variants of the matroid secretary problem. Most notably, we design a constant-factor competitive algorithm for the “rando...
Shayan Oveis Gharan, Jan Vondrák