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» Antichains in Products of Linear Orders
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PSIVT
2007
Springer
110views Multimedia» more  PSIVT 2007»
14 years 1 months ago
Measuring Linearity of Ordered Point Sets
It is often practical to measure how linear a certain ordered set of points is. We are interested in linearity measures which are invariant to rotation, scaling, and translation. T...
Milos Stojmenovic, Amiya Nayak
CORR
2011
Springer
161views Education» more  CORR 2011»
13 years 2 months ago
On Parsimonious Explanations for 2-D Tree- and Linearly-Ordered Data
This paper studies the “explanation problem” for tree- and linearly-ordered array data, a problem motivated by database applications and recently solved for the one-dimensiona...
Howard J. Karloff, Flip Korn, Konstantin Makaryche...
JSYML
2007
100views more  JSYML 2007»
13 years 7 months ago
Combinatorial principles weaker than Ramsey's Theorem for pairs
We investigate the complexity of various combinatorial theorems about linear and partial orders, from the points of view of computability theory and reverse mathematics. We focus ...
Denis R. Hirschfeldt, Richard A. Shore
COCO
2011
Springer
216views Algorithms» more  COCO 2011»
12 years 7 months ago
Linear Systems over Finite Abelian Groups
We consider a system of linear constraints over any finite Abelian group G of the following form: i(x1, . . . , xn) ≡ i,1x1 + · · · + i,nxn ∈ Ai for i = 1, . . . , t and e...
Arkadev Chattopadhyay, Shachar Lovett
CORR
2010
Springer
75views Education» more  CORR 2010»
13 years 7 months ago
Linear Algebra in the vector space of intervals
In a previous paper, we have given an algebraic model to the set of intervals. Here, we apply this model in a linear frame. For example, we define a notion of diagonalization of s...
Nicolas Goze