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DAM
1998
77views more  DAM 1998»
14 years 11 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»
14 years 11 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»
14 years 11 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...
83
Voted
DAM
1998
85views more  DAM 1998»
14 years 11 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
88
Voted
DAM
1998
88views more  DAM 1998»
14 years 11 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