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CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 9 months 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...
CSL
2008
Springer
13 years 11 months ago
The Descriptive Complexity of Parity Games
We study the logical definablity of the winning regions of parity games. For games with a bounded number of priorities, it is wellknown that the winning regions are definable in th...
Anuj Dawar, Erich Grädel
JDA
2006
59views more  JDA 2006»
13 years 9 months ago
A note on the complexity of minimum dominating set
The currently (asymptotically) fastest algorithm for minimum dominating set on graphs of n nodes is the trivial (2n) algorithm which enumerates and checks all the subsets of
Fabrizio Grandoni
MST
2006
99views more  MST 2006»
13 years 9 months ago
Complexity of the Exact Domatic Number Problem and of the Exact Conveyor Flow Shop Problem
We prove that the exact versions of the domatic number problem are complete for the levels of the boolean hierarchy over NP. The domatic number problem, which arises in the area of...
Tobias Riege, Jörg Rothe
GC
2002
Springer
13 years 9 months ago
The Hilbert Series of the Face Ring of a Flag Complex
It is shown that the Hilbert series of the face ring of a clique complex (equivalently, flag complex) of a graph G is, up to a factor, just a specialization of SG (x, y), the subg...
Paul Renteln