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» Polarity of chordal graphs
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ALGORITHMICA
2010
145views more  ALGORITHMICA 2010»
14 years 9 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
74
Voted
ITCC
2003
IEEE
15 years 2 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...
95
Voted
ESA
2005
Springer
93views Algorithms» more  ESA 2005»
15 years 3 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»
14 years 9 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