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WG
2005
Springer
15 years 3 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
15 years 3 months 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
15 years 2 months 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
14 years 7 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»
14 years 7 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