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» (k, )-Distance-Hereditary Graphs
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WG
2001
Springer
13 years 9 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
13 years 10 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...
ISAAC
2007
Springer
100views Algorithms» more  ISAAC 2007»
13 years 11 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 8 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
13 years 10 months 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