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WG
2001
Springer
13 years 11 months ago
(k, +)-Distance-Hereditary Graphs
In this work we introduce, characterize, and provide algorithmic results for (k, +)–distance-hereditary graphs, k ≥ 0. These graphs can be used to model interconnection networ...
Serafino Cicerone, Gianluca D'Ermiliis, Gabriele D...
ITCC
2003
IEEE
14 years 19 days 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...
ISAAC
2007
Springer
100views Algorithms» more  ISAAC 2007»
14 years 1 months ago
Dynamic Distance Hereditary Graphs Using Split Decomposition
The problem of maintaining a representation of a dynamic graph as long as a certain property is satisfied has recently been considered for a number of properties. This paper prese...
Emeric Gioan, Christophe Paul
SWAT
1994
Springer
130views Algorithms» more  SWAT 1994»
13 years 11 months ago
Dominating Cliques in Distance-Hereditary Graphs
A graph is distance-hereditary if and only if each cycle on five or more vertices has at least two crossing chords. We present linear time algorithms for the minimum r-dominating c...
Feodor F. Dragan
WG
2004
Springer
14 years 21 days ago
Treelike Comparability Graphs: Characterization, Recognition, and Applications
An undirected graph is a treelike comparability graph if it admits a transitive orientation such that its transitive reduction is a tree. We show that treelike comparability graphs...
Sabine Cornelsen, Gabriele Di Stefano