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» Set Intersection Theorems and Existence of Optimal Solutions
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ORDER
2006
154views more  ORDER 2006»
13 years 5 months ago
A Bipartite Analogue of Dilworth's Theorem
Let r be a fixed positive integer. It is shown that, given any partial orders >1, . . ., >r on the same n-element set P, there exist disjoint subsets A, B P, each with at l...
Jacob Fox
GC
2007
Springer
13 years 5 months ago
An Ore-type analogue of the Sauer-Spencer Theorem
Two graphs G1 and G2 of order n pack if there exist injective mappings of their vertex sets into [n], such that the images of the edge sets do not intersect. Sauer and Spencer prov...
Alexandr V. Kostochka, Gexin Yu
SIAMJO
2002
102views more  SIAMJO 2002»
13 years 5 months ago
Robust Solutions of Uncertain Quadratic and Conic-Quadratic Problems
We consider a conic-quadratic (and in particular a quadratically constrained) optimization problem with uncertain data, known only to reside in some uncertainty set U. The robust ...
Aharon Ben-Tal, Arkadi Nemirovski, Cees Roos
CSR
2007
Springer
13 years 11 months ago
Maximal Intersection Queries in Randomized Graph Models
Consider a family of sets and a single set, called query set. How can one quickly find a member of the family which has a maximal intersection with the query set? Strict time cons...
Benjamin Hoffmann, Yury Lifshits, Dirk Nowotka
CORR
2010
Springer
98views Education» more  CORR 2010»
13 years 5 months ago
Maximal Intersection Queries in Randomized Input Models
Consider a family of sets and a single set, called the query set. How can one quickly find a member of the family which has a maximal intersection with the query set? Time constra...
Benjamin Hoffmann, Mikhail Lifshits, Yury Lifshits...