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2010
13 years 11 months ago
Mixed search number and linear-width of interval and split graphs
We show that the mixed search number and the linear-width of interval graphs and of split graphs can be computed in linear time and in polynomial time, respectively.
Fedor V. Fomin, Pinar Heggernes, Rodica Mihai
DAM
2010
86views more  DAM 2010»
14 years 16 days ago
Minimum fill-in and treewidth of split+ke and split+kv graphs
In this paper we investigate how graph problems that are NP-hard in general, but polynomially solvable on split graphs, behave on input graphs that are close to being split. For t...
Federico Mancini
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
14 years 5 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...