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COMBINATORICS
1999
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13 years 10 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 11 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
14 years 3 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
14 years 4 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, ...