[HTML][HTML] Partitions of graphs into cographs
J Gimbel, J Nešetřil - Discrete mathematics, 2010 - Elsevier
… Cographs form the minimal family of graphs containing K 1 … partitions of graphs into the
smallest number of cographs. We … of such a partition the c -chromatic number of the graph. We …
smallest number of cographs. We … of such a partition the c -chromatic number of the graph. We …
Partitions of graphs into cographs
J Gimbel, J Nes̆etr̆il - Electronic notes in discrete mathematics, 2002 - Elsevier
… Cographs form the minimal family of graphs containing K1 which are closed with respect to
… vertex partitions of graphs into the smallest number of cographs, where the partition is as …
… vertex partitions of graphs into the smallest number of cographs, where the partition is as …
[HTML][HTML] Partitioning graphs into complete and empty graphs
… graph G , we consider partitions of the vertex set of G into j + k parts where j of these parts
induce empty graphs … some computational questions related to chordal graphs and cographs. …
induce empty graphs … some computational questions related to chordal graphs and cographs. …
Vertex partitions of graphs into cographs and stars
… partitions such that each partite set induces a graph with a given structure. Cographs form
the minimal family of graphs … Cographs are also characterized as the graphs containing no …
the minimal family of graphs … Cographs are also characterized as the graphs containing no …
Generalized colourings (matrix partitions) of cographs
T Feder, P Hell, W Hochstättler - Graph Theory in Paris: Proceedings of a …, 2007 - Springer
… Ordinary colourings of cographs are well understood; we focus on more general colourings,
known as matrix partitions. We show that all matrix partition problems for cographs admit …
known as matrix partitions. We show that all matrix partition problems for cographs admit …
Characterizing (k, l)–partitionable Cographs
R de Souza Francisco, S Klein, LT Nogueira - Electronic Notes in Discrete …, 2005 - Elsevier
… We consider the problem of partitioning a graph into k independent sets and l cliques, known
as the (k, l)-partition problem, which was introduced by Brandstädt in [1], and generalized …
as the (k, l)-partition problem, which was introduced by Brandstädt in [1], and generalized …
[HTML][HTML] Partitioning cographs into cliques and stable sets
… We consider the problem of partitioning the node set of a graph into p cliques and k stable
sets, namely the ( p , k ) -coloring problem. Results have been obtained for general graphs […
sets, namely the ( p , k ) -coloring problem. Results have been obtained for general graphs […
Restrictions of graph partition problems. Part I
HL Bodlaender, K Jansen - Theoretical Computer Science, 1995 - Elsevier
… In this paper the problems to partition a given graph into a … of this analysis of graph partition
problems is given by practical … constant k’ we can use the recursive structure of the cograph. …
problems is given by practical … constant k’ we can use the recursive structure of the cograph. …
Convex partitions of graphs
… In Section 4, we characterize k-convex cographs and also cographs which have a quasi-clique
convex k-partition. A polynomial time algorithm for deciding if a cograph is k-convex is …
convex k-partition. A polynomial time algorithm for deciding if a cograph is k-convex is …
[HTML][HTML] Partitioning a graph into convex sets
… concept of a convex partition of graphs. If there exists a partition of V ( G ) into p convex sets
… We show that it can be verified in linear-time if a cograph is p -convex for any value of p . For …
… We show that it can be verified in linear-time if a cograph is p -convex for any value of p . For …