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DGCI
2009
Springer
15 years 4 months ago
Distances on Lozenge Tilings
In this paper, a structural property of the set of lozenge tilings of a 2n-gon is highlighted. We introduce a simple combinatorial value called Hamming-distance, which is a lower b...
Olivier Bodini, Thomas Fernique, Eric Rémil...
COMPGEOM
2009
ACM
15 years 4 months ago
Randomly removing g handles at once
It was shown in [11] that any orientable graph of genus g can be probabilistically embedded into a graph of genus g − 1 with constant distortion. Removing handles one by one giv...
Glencora Borradaile, James R. Lee, Anastasios Sidi...
CAAN
2007
Springer
15 years 4 months ago
Improving Topological Routing in N2R Networks
Topological routing is basically table free, and allows for very fast restoration and thus a high level of reliability in communication. It has already been satisfactorily proposed...
José M. Gutiérrez López, Rub&...
CAAN
2007
Springer
15 years 4 months ago
Vertex Pursuit Games in Stochastic Network Models
Abstract. Random graphs with given expected degrees G(w) were introduced by Chung and Lu so as to extend the theory of classical G(n, p) random graphs to include random power law g...
Anthony Bonato, Pawel Pralat, Changping Wang
CAAN
2007
Springer
15 years 4 months ago
Cleaning Random d-Regular Graphs with Brushes Using a Degree-Greedy Algorithm
In the recently introduced model for cleaning a graph with brushes, we use a degree-greedy algorithm to clean a random d-regular graph on n vertices (with dn even). We then use a d...
Margaret-Ellen Messinger, Pawel Pralat, Richard J....