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» Edge clique graphs and some classes of chordal graphs
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DM
2002
107views more  DM 2002»
13 years 8 months ago
Edge clique graphs and some classes of chordal graphs
The edge clique graph of a graph G is one having as vertices the edges of G, two vertices being adjacent if the corresponding edges of G belong to a common clique. We describe cha...
Márcia R. Cerioli, Jayme Luiz Szwarcfiter
DAM
2006
88views more  DAM 2006»
13 years 8 months ago
NP-completeness results for edge modification problems
The aim of edge modification problems is to change the edge set of a given graph as little as possible in order to satisfy a certain property. Edge modification problems in graphs...
Pablo Burzyn, Flavia Bonomo, Guillermo Durá...
ESA
2005
Springer
93views Algorithms» more  ESA 2005»
14 years 2 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
WG
2005
Springer
14 years 2 months ago
Computation of Chromatic Polynomials Using Triangulations and Clique Trees
In this paper, we present a new algorithm for computing the chromatic polynomial of a general graph G. Our method is based on the addition of edges and contraction of non-edges of ...
Pascal Berthomé, Sylvain Lebresne, Kim Nguy...
DAM
2011
13 years 3 months ago
Optimization problems in multiple subtree graphs
We study various optimization problems in t-subtree graphs, the intersection graphs of tsubtrees, where a t-subtree is the union of t disjoint subtrees of some tree. This graph cl...
Danny Hermelin, Dror Rawitz