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» (k, )-Distance-Hereditary Graphs
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STOC
2009
ACM
168views Algorithms» more  STOC 2009»
15 years 10 months ago
Fault-tolerant spanners for general graphs
The paper concerns graph spanners that are resistant to vertex or edge failures. Given a weighted undirected n-vertex graph G = (V, E) and an integer k 1, the subgraph H = (V, E ...
Shiri Chechik, Michael Langberg, David Peleg, Liam...
ESA
2009
Springer
112views Algorithms» more  ESA 2009»
15 years 4 months ago
Dynamic Programming on Tree Decompositions Using Generalised Fast Subset Convolution
Abstract. In this paper, we show that algorithms on tree decompositions can be made faster with the use of generalisations of fast subset convolution. Amongst others, this gives al...
Johan M. M. van Rooij, Hans L. Bodlaender, Peter R...
CPAIOR
2007
Springer
15 years 4 months ago
Necessary Condition for Path Partitioning Constraints
Given a directed graph G, the K node-disjoint paths problem consists in finding a partition of G into K node-disjoint paths, such that each path ends up in a given subset of nodes...
Nicolas Beldiceanu, Xavier Lorca
DAGSTUHL
2006
14 years 11 months ago
Very Large Cliques are Easy to Detect
It is known that, for every constant k 3, the presence of a k-clique (a complete subgraph on k vertices) in an n-vertex graph cannot be detected by a monotone boolean circuit usi...
Alexander E. Andreev, Stasys Jukna
JCT
2007
95views more  JCT 2007»
14 years 9 months ago
Directed tree-width examples
In [1] Johnson, Robertson, Seymour and Thomas define the notion of directed tree-width dtw(D) of a directed graph D. They ask whether dtw(D) ≥ k − 1 implies that D has a have...
Isolde Adler