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COCOON
2005
Springer
15 years 9 months 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
141
Voted
ADHOCNOW
2008
Springer
15 years 10 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
119
Voted
ICALP
2009
Springer
15 years 10 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»
14 years 10 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
15 years 10 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