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COMBINATORICA
1999
54views more  COMBINATORICA 1999»
13 years 5 months ago
A Pushing-Pulling Method: New Proofs of Intersection Theorems
Rudolf Ahlswede, Levon H. Khachatrian
CORR
2010
Springer
57views Education» more  CORR 2010»
13 years 5 months ago
A new proof of Delsarte, Goethals and Mac Williams theorem on minimal weight codewords of generalized Reed-Muller code
We give a new proof of Delsarte, Goethals and Mac williams theorem on minimal weight codewords of generalized Reed-Muller codes published in 1970. To prove this theorem, we consid...
Elodie Leducq
ENTCS
2002
66views more  ENTCS 2002»
13 years 5 months ago
Strongly Normalising Cut-Elimination with Strict Intersection Types
This paper defines reduction on derivations in the strict intersection type assignment system of [2], by generalising cut-elimination, and shows a strong normalisation result for ...
Steffen van Bakel
JCT
2010
80views more  JCT 2010»
13 years 3 months ago
Shadows and intersections in vector spaces
We prove a vector space analog of a version of the Kruskal-Katona theorem due to Lov´asz. We apply this result to extend Frankl’s theorem on r-wise intersecting families to vec...
Ameera Chowdhury, Balázs Patkós
MP
2007
91views more  MP 2007»
13 years 4 months ago
Set Intersection Theorems and Existence of Optimal Solutions
The question of nonemptiness of the intersection of a nested sequence of closed sets is fundamental in a number of important optimization topics, including the existence of optima...
Dimitri P. Bertsekas, Paul Tseng