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COMBINATORICS
1999
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13 years 4 months ago
On the Structure and Classification of SOMAs: Generalizations of Mutually Orthogonal Latin Squares
Let k 0 and n 2 be integers. A SOMA, or more specifically a SOMA(k, n), is an n
Leonard H. Soicher
CORR
2007
Springer
100views Education» more  CORR 2007»
13 years 4 months ago
The Hadwiger Number of Jordan Regions is Unbounded
We show that for every n > 0 there is a planar topological disk A0 and n translates A1, A2, . . . , An of A0 such that the interiors of A0, . . . An are pairwise disjoint, but ...
Otfried Cheong, Mira Lee
FOCS
2002
IEEE
13 years 9 months ago
Optimal System of Loops on an Orientable Surface
Every compact orientable boundaryless surface M can be cut along simple loops with a common point v0, pairwise disjoint except at v0, so that the resulting surface is a topologica...
Éric Colin de Verdière, Francis Laza...
ICGI
2004
Springer
13 years 10 months ago
Identifying Clusters from Positive Data
The present work studies clustering from an abstract point of view and investigates its properties in the framework of inductive inference. Any class S considered is given by a hyp...
John Case, Sanjay Jain, Eric Martin, Arun Sharma, ...