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DAM
1998
77views more  DAM 1998»
13 years 5 months ago
Optimal Wavelength-routed Multicasting
Motivated by wavelength division multiplexing in all-optical networks, we consider the problem of finding a set of paths from a fixed source to a multiset of destinations, which c...
Bruno Beauquier, Pavol Hell, Stephane Perennes
DAM
1998
61views more  DAM 1998»
13 years 5 months ago
On Trees and Noncrossing Partitions
We give a simple and natural proof of (an extension of) the identity P(k, l, n) = P2(k − 1, l − 1, n − 1). The number P(k, l, n) counts noncrossing partitions of {1, 2, . . ...
Martin Klazar
DAM
2008
78views more  DAM 2008»
13 years 5 months ago
Semi-preemptive routing on trees
We study a variant of the pickup-and-delivery problem (PDP) in which the objects that have to be transported can be reloaded at most d times, for a given d N. This problem is kno...
Sven Oliver Krumke, Dirk Räbiger, Rainer Schr...
DAM
1998
85views more  DAM 1998»
13 years 5 months ago
Separability Generalizes Dirac's Theorem
In our study of the extremities of a graph, we define a moplex as a maximal clique module the neighborhood of which is a minimal separator of the graph. This notion enables us to...
Anne Berry, Jean Paul Bordat
DAM
1998
88views more  DAM 1998»
13 years 5 months ago
Neither Reading Few Bits Twice Nor Reading Illegally Helps Much
We first consider so-called (1,+s)-branching programs in which along every consistent path at most s variables are tested more than once. We prove that any such program computing...
Stasys Jukna, Alexander A. Razborov