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ALGORITHMICA
2011
13 years 7 months ago
Crossing Numbers of Graphs with Rotation Systems
We show that computing the crossing number and the odd crossing number of a graph with a given rotation system is NP-complete. As a consequence we can show that many of the well-k...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
WG
2010
Springer
13 years 10 months ago
Colouring Vertices of Triangle-Free Graphs
The vertex colouring problem is known to be NP-complete in the class of triangle-free graphs. Moreover, it remains NP-complete even if we additionally exclude a graph F which is n...
Konrad Dabrowski, Vadim V. Lozin, Rajiv Raman, Ber...
LATIN
2010
Springer
13 years 11 months ago
The Interval Constrained 3-Coloring Problem
Abstract In this paper, we settle the open complexity status of interval constrained coloring with a fixed number of colors. We prove that the problem is already NP-complete if th...
Jaroslaw Byrka, Andreas Karrenbauer, Laura Sanit&a...
IPL
2008
91views more  IPL 2008»
14 years 13 days ago
Well-balanced orientations of mixed graphs
We show that deciding if a mixed graph has a well-balanced orientation is NP-complete.
Attila Bernáth, Gwenaël Joret
DAM
2008
78views more  DAM 2008»
14 years 15 days ago
Semi-preemptive routing on trees
We study a variant of the pickup-and-delivery problem (PDP) in which the objects that have to be transported can be reloaded at most d times, for a given d N. This problem is kno...
Sven Oliver Krumke, Dirk Räbiger, Rainer Schr...
DAM
2008
139views more  DAM 2008»
14 years 15 days ago
Covering symmetric semi-monotone functions
We define a new set of functions called semi-monotone, a subclass of skew-supermodular functions. We show that the problem of augmenting a given graph to cover a symmetric semi-mo...
Roland Grappe, Zoltán Szigeti
CORR
2010
Springer
94views Education» more  CORR 2010»
14 years 16 days ago
Complexity dichotomy on partial grid recognition
Deciding whether a graph can be embedded in a grid using only unitlength edges is NP-complete, even when restricted to binary trees. However, it is not difficult to devise a numbe...
Vinícius G. P. de Sá, Guilherme Dias...