most citedThe fast intersection transform with applications to counting paths

14 citations · 40 across the 5 of their papers we have counts for

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cs.DS2009

On evaluation of permanents

Andreas Björklund, Thore Husfeldt, Petteri Kaski +1

We study the time and space complexity of matrix permanents over rings and semirings.

cs.DS200910 cited

Counting Paths and Packings in Halves

Andreas Björklund, Thore Husfeldt, Petteri Kaski +1

It is shown that one can count -edge paths in an -vertex graph and -set -packings on an -element universe, respectively, in time and ${n \choose mk…

cs.DS200814 cited

The fast intersection transform with applications to counting paths

Andreas Björklund, Thore Husfeldt, Petteri Kaski +1

We present an algorithm for evaluating a linear ``intersection transform'' of a function defined on the lattice of subsets of an -element set. In particular, the algorithm const…

cs.DS2008

Trimmed Moebius Inversion and Graphs of Bounded Degree

Andreas Björklund, Thore Husfeldt, Petteri Kaski +1

We study ways to expedite Yates's algorithm for computing the zeta and Moebius transforms of a function defined on the subset lattice. We develop a trimmed variant of Moebius inver…

cs.DS200774 cited

Circumspect descent prevails in solving random constraint satisfaction problems

Mikko Alava, John Ardelius, Erik Aurell +4

We study the performance of stochastic local search algorithms for random instances of the -satisfiability (-SAT) problem. We introduce a new stochastic local search algorith…

cs.DS20071 cited

Computing the Tutte polynomial in vertex-exponential time

Andreas Björklund, Thore Husfeldt, Petteri Kaski +1

The deletion--contraction algorithm is perhaps the most popular method for computing a host of fundamental graph invariants such as the chromatic, flow, and reliability polynomials…