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» Set Intersection Theorems and Existence of Optimal Solutions
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ORDER
2006
154views more  ORDER 2006»
14 years 11 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
85
Voted
GC
2007
Springer
14 years 11 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»
14 years 11 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
15 years 5 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»
14 years 11 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...