13 search results - page 2 / 3 » The branchwidth of graphs and their cycle matroids |
102
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CORR
2007
Springer
14 years 11 months ago
2007
Springer
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 ...
111
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SODA
2012
ACM
13 years 2 months ago
2012
ACM
The Odd Cycle Transversal problem (OCT) asks whether a given graph can be made bipartite by deleting at most k of its vertices. In a breakthrough result Reed, Smith, and Vetta (Op...
ESA
2007
Springer
15 years 5 months ago
2007
Springer
Abstract. We present a new algorithm that can output the rankdecomposition of width at most k of a graph if such exists. For that we use an algorithm that, for an input matroid rep...
SIAMDM
2008
14 years 11 months ago
2008
Robertson and Seymour (1990) proved that graphs of bounded tree-width are well-quasi-ordered by the graph minor relation. By extending their arguments, Geelen, Gerards, and Whittle...
EJC
2007
14 years 11 months ago
2007
The cone ˆG of a finite graph G is obtained by adding a new vertex p, called the cone point, and joining each vertex of G to p by a simple edge. We show that the rank of the red...