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DM
2011
184views Education» more  DM 2011»
13 years 6 months ago
Graphs of arbitrary excessive class
We show that there exists a family of r-regular graphs of arbitrarily large excessive index for each integer r greater than 3. Furthermore, we answer a question in [1] showing tha...
Giuseppe Mazzuoccolo, M. Young
DM
2011
192views Education» more  DM 2011»
13 years 6 months ago
Coding discretizations of continuous functions
We consider several coding discretizations of continuous functions which reflect their variation at some given precision. We study certain statistical and combinatorial properties...
Cristobal Rojas, Serge Troubetzkoy
DM
2011
191views Education» more  DM 2011»
13 years 6 months ago
Notes on lattice points of zonotopes and lattice-face polytopes
Minkowski’s second theorem on successive minima gives an upper bound on the volume of a convex body in terms of its successive minima. We study the problem to generalize Minkowsk...
Christian Bey, Martin Henk, Matthias Henze, Eva Li...