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» Fully dynamic algorithms for chordal graphs and split graphs
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WALCOM
2010
IEEE
255views Algorithms» more  WALCOM 2010»
14 years 15 days ago
Harmonious Coloring on Subclasses of Colinear Graphs
Given a simple graph G, a harmonious coloring of G is a proper vertex coloring such that each pair of colors appears together on at most one edge. The harmonious chromatic number i...
Kyriaki Ioannidou, Stavros D. Nikolopoulos
IWOCA
2009
Springer
119views Algorithms» more  IWOCA 2009»
14 years 2 days ago
Fully Decomposable Split Graphs
We discuss various questions around partitioning a split graph into connected parts. Our main result is a polynomial time algorithm that decides whether a given split graph is full...
Hajo Broersma, Dieter Kratsch, Gerhard J. Woeginge...
DAM
2008
90views more  DAM 2008»
13 years 5 months ago
Polarity of chordal graphs
Polar graphs are a common generalization of bipartite, cobipartite, and split graphs. They are defined by the existence of a certain partition of vertices, which is NPcomplete to ...
Tinaz Ekim, Pavol Hell, Juraj Stacho, Dominique de...
ANOR
2005
160views more  ANOR 2005»
13 years 5 months ago
Packing r-Cliques in Weighted Chordal Graphs
In Hell et al. (2004), we have previously observed that, in a chordal graph G, the maximum number of independent r-cliques (i.e., of vertex disjoint subgraphs of G, each isomorphic...
Pavol Hell, Sulamita Klein, Loana Tito Nogueira, F...
WG
2009
Springer
14 years 3 days ago
Fully Dynamic Representations of Interval Graphs
We present a fully dynamic algorithm that maintains three different representations of an interval graph: a minimal interval model of the graph, the PQ-tree of its maximal cliques...
Christophe Crespelle