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DCC
2010
IEEE
13 years 4 months ago
The maximum size of a partial 3-spread in a finite vector space over GF(2)
Let n 3 be an integer, let Vn(2) denote the vector space of dimension n over GF(2), and let c be the least residue of n modulo 3. We prove that the maximum number of 3-dimensional...
Saad El-Zanati, H. Jordon, G. F. Seelinger, Papa S...
CORR
2008
Springer
129views Education» more  CORR 2008»
13 years 4 months ago
Bounds on Codes Based on Graph Theory
"THIS PAPER IS ELIGIBLE FOR THE STUDENT PAPER AWARD" Let Aq(n, d) be the maximum order (maximum number of codewords) of a q-ary code of length n and Hamming distance at l...
Salim Y. El Rouayheb, Costas N. Georghiades, Emina...
COMBINATORICA
2008
84views more  COMBINATORICA 2008»
13 years 4 months ago
Parity check matrices and product representations of squares
Let NF(n, k, r) denote the maximum number of columns in an n-row matrix with entries in a finite field F in which each column has at most r nonzero entries and every k columns are...
Assaf Naor, Jacques Verstraëte
COMBINATORICA
2008
88views more  COMBINATORICA 2008»
13 years 4 months ago
Geometric graphs with no two parallel edges
We give a simple proof for a theorem of Katchalski, Last, and Valtr, asserting that the maximum number of edges in a geometric graph G on n vertices with no pair of parallel edges...
Rom Pinchasi
SODA
1996
ACM
121views Algorithms» more  SODA 1996»
13 years 5 months ago
Optimal Placement of Convex Polygons to Maximize Point Containment
Given a convex polygon P with m vertices and a set S of n points in the plane, we consider the problem of nding a placement of P that contains the maximum number of points in S. W...
Matthew Dickerson, Daniel Scharstein
CCCG
2008
13 years 6 months ago
Maximal Covering by Two Isothetic Unit Squares
Let P be the point set in two dimensional plane. In this paper, we consider the problem of locating two isothetic unit squares such that together they cover maximum number of poin...
Priya Ranjan Sinha Mahapatra, Partha P. Goswami, S...
CCCG
2007
13 years 6 months ago
On the Number of Empty Pseudo-Triangles in Point Sets
We analyze the minimum and maximum number of empty pseudo-triangles defined by any planar point set. We consider the cases where the three convex vertices are fixed and where th...
Marc J. van Kreveld, Bettina Speckmann
CCCG
2007
13 years 6 months ago
Covering Points by Isothetic Unit Squares
Given a set P of n points in R2 , we consider two related problems. Firstly, we study the problem of computing two isothetic unit squares which may be either disjoint or intersect...
Priya Ranjan Sinha Mahapatra, Partha P. Goswami, S...
DELTA
2008
IEEE
13 years 6 months ago
Test Set Stripping Limiting the Maximum Number of Specified Bits
This paper presents a technique that limits the maximum number of specified bits of any pattern in a given test set. The outlined method uses algorithms similar to ATPG, but explo...
Michael A. Kochte, Christian G. Zoellin, Michael E...
COMPGEOM
2008
ACM
13 years 6 months ago
Maximum thick paths in static and dynamic environments
We consider the problem of finding a maximum number of disjoint paths for unit disks moving amidst static or dynamic obstacles. For the static case we give efficient exact algorit...
Esther M. Arkin, Joseph S. B. Mitchell, Valentin P...