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» On the bounded integer programming
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JC
2007
130views more  JC 2007»
13 years 11 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner
DCC
2005
IEEE
14 years 10 months ago
Quantization of Multiple Sources Using Integer Bit Allocation
Asymptotically optimal bit allocation among a set of quantizers for a finite collection of sources was determined in 1963 by Huang and Schultheiss. Their solution, however, gives ...
Benjamin Farber, Kenneth Zeger
ISSAC
1997
Springer
157views Mathematics» more  ISSAC 1997»
14 years 3 months ago
On the Worst-case Complexity of Integer Gaussian Elimination
Gaussian elimination is the basis for classical algorithms for computing canonical forms of integer matrices. Experimental results have shown that integer Gaussian elimination may...
Xin Gui Fang, George Havas
JCT
1998
76views more  JCT 1998»
13 years 11 months ago
Progressions in Sequences of Nearly Consecutive Integers
For k > 2 and r ≥ 2, let G(k, r) denote the smallest positive integer g such that every increasing sequence of g integers {a1, a2, . . . , ag} with gaps aj+1 − aj ∈ {1, ....
Noga Alon, Ayal Zaks
COMPGEOM
2011
ACM
13 years 2 months ago
Integer representations of convex polygon intersection graphs
Abstract. We study the grid size that is needed to represent intersection graphs of convex polygons. Here the polygons are similar to a base polygon P whose corners have rational c...
Tobias Müller, Erik Jan van Leeuwen, Jan van ...