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FAW
2009
Springer
134views Algorithms» more  FAW 2009»
14 years 6 months ago
Pathwidth is NP-Hard for Weighted Trees
The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. We prove in this paper that the PATHWIDTH problem is NP-hard for parti...
Rodica Mihai, Ioan Todinca
COCOON
2009
Springer
14 years 6 months ago
Strongly Chordal and Chordal Bipartite Graphs Are Sandwich Monotone
A graph class is sandwich monotone if, for every pair of its graphs G1 = (V, E1) and G2 = (V, E2) with E1 ⊂ E2, there is an ordering e1, . . . , ek of the edges in E2 \ E1 such ...
Pinar Heggernes, Federico Mancini, Charis Papadopo...
WG
2009
Springer
14 years 7 months ago
Chordal Digraphs
Chordal graphs, also called triangulated graphs, are important in algorithmic graph theory. In this paper we generalise the definition of chordal graphs to the class of directed ...
Daniel Meister, Jan Arne Telle
APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
14 years 7 months ago
Approximations for Aligned Coloring and Spillage Minimization in Interval and Chordal Graphs
We consider the problem of aligned coloring of interval and chordal graphs. These problems have substantial applications to register allocation in compilers and have recently been ...
Douglas E. Carroll, Adam Meyerson, Brian Tagiku
ICALP
2009
Springer
15 years 18 days ago
Elimination Graphs
A graph is chordal if it does not contain any induced cycle of size greater than three. An alternative characterization of chordal graphs is via a perfect elimination ordering, whi...
Yuli Ye, Allan Borodin