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ALGORITHMICA
2011
15 years 1 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...
JCO
2007
123views more  JCO 2007»
15 years 6 months ago
On the number of local minima for the multidimensional assignment problem
The Multidimensional Assignment Problem (MAP) is an NP-hard combinatorial optimization problem occurring in many applications, such as data association, target tracking, and resou...
Don A. Grundel, Pavlo A. Krokhmal, Carlos A. S. Ol...
JCT
2007
97views more  JCT 2007»
15 years 6 months ago
What power of two divides a weighted Catalan number?
Given a sequence of integers b = (b0,b1,b2,...) one gives a Dyck path P of length 2n the weight wt(P) = bh1 bh2 ···bhn , where hi is the height of the ith ascent of P. The corr...
Alexander Postnikov, Bruce E. Sagan
VLSID
2000
IEEE
164views VLSI» more  VLSID 2000»
15 years 10 months ago
A Fast Algorithm for Computing the Euler Number of an Image and its VLSI Implementation
Digital images are convenient media for describing and storing spatial, temporal, spectral, and physical components of information contained in a variety of domains(e.g. aerial/sa...
Sabyasachi Dey, Bhargab B. Bhattacharya, Malay Kum...
WSC
1998
15 years 7 months ago
Bayesian Model Selection when the Number of Components is Unknown
In simulation modeling and analysis, there are two situations where there is uncertainty about the number of parameters needed to specify a model. The first is in input modeling w...
Russell C. H. Cheng