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COCOON
2005
Springer
14 years 27 days ago
Improved Algorithms for the K-Maximum Subarray Problem for Small K
The maximum subarray problem for a one- or two-dimensional array is to find the array portion that maiximizes the sum of array elements in it. The K-maximum subarray problem is to...
Sung Eun Bae, Tadao Takaoka
ADHOCNOW
2008
Springer
14 years 1 months ago
Approximating Minimum-Power k-Connectivity
Abstract. The Minimum-Power k-Connected Subgraph (MPkCS) problem seeks a power (range) assignment to the nodes of a given wireless network such that the resulting communication (su...
Zeev Nutov
ICALP
2009
Springer
14 years 2 months ago
A Better Algorithm for Random k-SAT
Let Φ be a uniformly distributed random k-SAT formula with n variables and m clauses. We present a polynomial time algorithm that finds a satisfying assignment of Φ with high p...
Amin Coja-Oghlan
JGT
2010
152views more  JGT 2010»
13 years 2 months ago
Cycles of even lengths modulo k
Thomassen [9] conjectured that for all natural numbers k > 0 and m, every graph of minimum degree k + 1 contains a cycle of length congruent to 2m modulo k. We prove that this ...
Ajit A. Diwan
FOCS
2008
IEEE
14 years 1 months ago
Linear Level Lasserre Lower Bounds for Certain k-CSPs
We show that for k ≥ 3 even the Ω(n) level of the Lasserre hierarchy cannot disprove a random k-CSP instance over any predicate type implied by k-XOR constraints, for example ...
Grant Schoenebeck