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IPL
2008
145views more  IPL 2008»
14 years 10 months ago
Complexity analysis of a decentralised graph colouring algorithm
Colouring a graph with its chromatic number of colours is known to be NP-hard. Identifying an algorithm in which descisions are made locally with no information about the graph�...
Ken R. Duffy, N. O'Connell, Artëm Sapozhnikov
IPL
2008
135views more  IPL 2008»
14 years 10 months ago
On the Positive-Negative Partial Set Cover problem
The Positive-Negative Partial Set Cover problem is introduced and its complexity, especially the hardness-of-approximation, is studied. The problem generalizes the Set Cover probl...
Pauli Miettinen
IPL
2008
86views more  IPL 2008»
14 years 10 months ago
A more efficient algorithm for perfect sorting by reversals
We describe a new algorithm for the problem of perfect sorting a signed permutation by reversals. The worst-case time complexity of this algorithm is parameterized by the maximum p...
Sèverine Bérard, Cedric Chauve, Chri...
IPL
2008
132views more  IPL 2008»
14 years 10 months ago
Asymptotic fully polynomial approximation schemes for variants of open-end bin packing
We consider three variants of the open-end bin packing problem. Such variants of bin packing allow the total size of items packed into a bin to exceed the capacity of a bin, provi...
Leah Epstein, Asaf Levin
IPL
2008
82views more  IPL 2008»
14 years 10 months ago
A note on the distribution of the number of prime factors of the integers
The Chernoff-Hoeffding bounds are fundamental probabilistic tools. An elementary approach is presented to obtain a Chernoff-type upper-tail bound for the number of prime factors o...
Aravind Srinivasan