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WG
2005
Springer
14 years 1 months ago
Recognizing HHDS-Free Graphs
In this paper, we consider the recognition problem on the HHDS-free graphs, a class of homogeneously orderable graphs, and we show that it has polynomial time complexity. In partic...
Stavros D. Nikolopoulos, Leonidas Palios
ICALP
2003
Springer
14 years 25 days ago
Generating Labeled Planar Graphs Uniformly at Random
Abstract. We present an expected polynomial time algorithm to generate a labeled planar graph uniformly at random. To generate the planar graphs, we derive recurrence formulas that...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
WG
2001
Springer
14 years 1 days ago
Approximation of Pathwidth of Outerplanar Graphs
There exists a polynomial time algorithm to compute the pathwidth of outerplanar graphs [3], but the large exponent makes this algorithm impractical. In this paper, we give an alg...
Fedor V. Fomin, Hans L. Bodlaender
DLT
2009
13 years 5 months ago
On the Complexity of Hmelevskii's Theorem and Satisfiability of Three Unknown Equations
Abstract. We analyze Hmelevskii's theorem, which states that the general solutions of constant-free equations on three unknowns are expressible by a finite collection of formu...
Aleksi Saarela
CORR
2010
Springer
128views Education» more  CORR 2010»
13 years 5 months ago
Optimal Auctions with Correlated Bidders are Easy
We consider the problem of designing a revenue-maximizing auction for a single item, when the values of the bidders are drawn from a correlated distribution. We observe that there...
Shahar Dobzinski, Hu Fu, Robert Kleinberg