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DAM
1998
67views more  DAM 1998»
13 years 11 months ago
A Graph-theoretic Generalization of the Sauer-Shelah Lemma
We show a natural graph-theoretic generalization of the Sauer–Shelah lemma. This result is applied to bound the ‘∞ and L1 packing numbers of classes of functions whose range...
Nicolò Cesa-Bianchi, David Haussler
DAM
1998
50views more  DAM 1998»
13 years 11 months ago
The Cyclic Wirelength of Trees
Sergei L. Bezrukov, Ulf-Peter Schroeder
DAM
1998
92views more  DAM 1998»
13 years 11 months ago
Embedding ladders and caterpillars into the hypercube
We present embeddings of generalized ladders as subgraphs into the hypercube. By embedding caterpillars into ladders, we obtain embeddings of caterpillars into the hypercube. In t...
Sergei L. Bezrukov, Burkhard Monien, Walter Unger,...
DAM
1998
85views more  DAM 1998»
13 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
DAM
1998
77views more  DAM 1998»
13 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
75views more  DAM 1998»
13 years 11 months ago
Properly Coloured Hamiltonian Paths in Edge-coloured Complete Graphs
We consider edge-coloured complete graphs. A path or cycle Q is called properly coloured (PC) if any two adjacent edges of Q differ in colour. Our note is inspired by the followi...
Jørgen Bang-Jensen, Gregory Gutin, Anders Y...
DAM
1998
77views more  DAM 1998»
13 years 11 months ago
The Scheduling of Maintenance Service
We study a discrete problem of scheduling activities of several types under the constraint that at most a single activity can be scheduled to any one period. Applications of such ...
Shoshana Anily, Celia A. Glass, Refael Hassin
DAM
1998
57views more  DAM 1998»
13 years 11 months ago
T-choosability in Graphs
Noga Alon, Ayal Zaks