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ITA
2007
14 years 9 months ago
An algorithm for deciding if a polyomino tiles the plane
: For polyominoes coded by their boundary word, we describe a quadratic O(n2) algorithm in the boundary length n which improves the naive O(n4) algorithm. Techniques used emanate f...
Ian Gambini, Laurent Vuillon
CORR
2004
Springer
106views Education» more  CORR 2004»
14 years 9 months ago
Why Delannoy numbers?
This article is not a research paper, but a little note on the history of combinatorics: we present here a tentative short biography of Henri Delannoy, and a survey of his most no...
Cyril Banderier, Sylviane R. Schwer
COMBINATORICS
2002
92views more  COMBINATORICS 2002»
14 years 9 months ago
Pattern Avoidance in Permutations: Linear and Cyclic Orders
: We generalize the notion of pattern avoidance to arbitrary functions on ordered sets, and consider specifically three scenarios for permutations: linear, cyclic and hybrid, the f...
Antoine Vella
EATCS
2002
46views more  EATCS 2002»
14 years 9 months ago
Understanding the Mulmuley-Sohoni Approach to P vs. NP
We explain the essence of K. Mulmuley and M. Sohoni, "Geometric Complexity Theory I: An Approach to the P vs. NP and Related Problems" [MS02] for a general complexity-the...
Kenneth W. Regan
EATCS
2002
141views more  EATCS 2002»
14 years 9 months ago
Recent Developments in Explicit Constructions of Extractors
Extractors are functions which are able to "extract" random bits from arbitrary distributions which "contain" sufficient randomness. Explicit constructions of ...
Ronen Shaltiel