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» Polarity of chordal graphs
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ALGORITHMICA
2010
145views more  ALGORITHMICA 2010»
15 years 6 months ago
Chordal Deletion is Fixed-Parameter Tractable
It is known to be NP-hard to decide whether a graph can be made chordal by the deletion of k vertices or by the deletion of k edges. Here we present a uniformly polynomial-time alg...
Dániel Marx
ITCC
2003
IEEE
15 years 11 months ago
Distance-Hereditary Embeddings of Circulant Graphs
In this paper we present a distance-hereditary decomposition of optimal chordal rings of 2k2 nodes into a set of rings of 2k nodes, where k is the diameter. All the rings belongin...
Carmen Martínez, Ramón Beivide, Jaim...
ESA
2005
Springer
93views Algorithms» more  ESA 2005»
15 years 11 months ago
New Tools and Simpler Algorithms for Branchwidth
Abstract. We provide new tools, such as k-troikas and good subtreerepresentations, that allow us to give fast and simple algorithms computing branchwidth. We show that a graph G ha...
Christophe Paul, Jan Arne Telle
DM
2006
87views more  DM 2006»
15 years 6 months ago
A vertex incremental approach for maintaining chordality
For a chordal graph G = (V, E), we study the problem of whether a new vertex u V and a given set of edges between u and vertices in V can be added to G so that the resulting grap...
Anne Berry, Pinar Heggernes, Yngve Villanger