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» Descent polynomials for permutations with bounded drop size
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91
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EJC
2010
14 years 10 months ago
Descent polynomials for permutations with bounded drop size
Abstract. Motivated by juggling sequences and bubble sort, we examine permutations on the set {1, 2, . . . , n} with d descents and maximum drop size k. We give explicit formulas f...
Fan R. K. Chung, Anders Claesson, Mark Dukes, Rona...
85
Voted
DAM
2007
177views more  DAM 2007»
14 years 10 months ago
On Khachiyan's algorithm for the computation of minimum-volume enclosing ellipsoids
Given A := {a1, . . . , am} ⊂ Rd whose affine hull is Rd, we study the problems of computing an approximate rounding of the convex hull of A and an approximation to the minimum ...
Michael J. Todd, E. Alper Yildirim
90
Voted
COCO
2010
Springer
149views Algorithms» more  COCO 2010»
15 years 8 days ago
Trade-Off Lower Bounds for Stack Machines
—A space bounded Stack Machine is a regular Turing Machine with a read-only input tape, several space bounded read-write work tapes, and an unbounded stack. Stack Machines with a...
Matei David, Periklis A. Papakonstantinou
DAGSTUHL
2007
14 years 11 months ago
Uniqueness of Optimal Mod 3 Circuits for Parity
In this paper, we prove that the quadratic polynomials modulo 3 with the largest correlation with parity are unique up to permutation of variables and constant factors. As a conseq...
Frederic Green, Amitabha Roy
120
Voted
ICALP
2009
Springer
15 years 10 months ago
Counting Subgraphs via Homomorphisms
We introduce a generic approach for counting subgraphs in a graph. The main idea is to relate counting subgraphs to counting graph homomorphisms. This approach provides new algori...
Omid Amini, Fedor V. Fomin, Saket Saurabh