See this document in CiteSeerX!

Indivisibility And Divisibility Polytopes (2000)  (Make Corrections)  
Don Coppersmith, Jon Lee



  Home/Search   Context   Related

 
View or download:
uky.edu/~math/MAreport/PDF/0019.pdf
core.ucl.ac.be/services...dp200031.pdf
Cached:  PS.gz  PS  PDF   Image  Update  Help

From:  uky.edu/~math/MAreport/ (more)
(Enter author homepages)

Rate this article: (best)
  Comment on this article  
(Enter summary)

Abstract: We study the the polytopes of binary n-strings that encode (positive) integers that are not divisible by a particular positiveinteger p ---the indivisibility polytopes,aswell as the more general "clipped cubes". Also, we discuss a potential application to factoring. Finally,we presentsome results concerning divisibility polytopes. Keywords: integer program, polytope, clipped cube, totally dual integral, ideal matrix, generalized set covering, binary encoding, divisible, factoring. 1 Dept. of... (Update)

Active bibliography (related documents):   More   All
4.4:   Indivisibility And Divisibility Polytopes - Coppersmith, Lee (2000)   (Correct)
0.5:   Balanced Matrices - Conforti, Cornuéjols (2001)   (Correct)
0.5:   Ideal Clutters - Cornuéjols, Guenin (2001)   (Correct)

Similar documents based on text:   More   All
0.2:   New Upper Bounds for Maximum-Entropy Sampling - Hoffman, Lee, Williams (2000)   (Correct)
0.1:   Primes In Elliptic Divisibility Sequences - Einsiedler, Everest, Ward   (Correct)
0.1:   On Rational and on Left Divisibility Monoids - Kuske (1999)   (Correct)

BibTeX entry:   (Update)

@misc{ coppersmith-indivisibility,
  author = "Don Coppersmith and Jon Lee",
  title = "Indivisibility And Divisibility Polytopes",
  url = "citeseer.ist.psu.edu/lee00indivisibility.html" }
Citations (may not include all citations):
1065   Handbook of applied cryptography (context) - Menezes, van Oorschot et al. - 1997
333   Geometric algorithms and combinatorial optimization (context) - Grotschel, Alexander - 1993
257   Elliptic curve cryptosystems (context) - Koblitz - 1987
134   Factoring integers with elliptic curves (context) - Lenstra - 1987
117   The ellipsoid method and its consequences in combinatorial o.. (context) - Grotschel, Alexander et al. - 1984
117   The ellipsoid method and its consequences in combinatorial o.. (context) - Grotschel, Alexander - 1981
68   Small solutions to polynomial equations (context) - Coppersmith - 1997
55   Theorems on factorization and primality testing (context) - Pollard - 1974
51   The multiple polynomial quadratic sieve (context) - Silverman - 1987
35   Factoring integers with the number field sieve (context) - Buhler, Lenstra et al. - 1993
34   volume 152 of Graduate Texts in Mathematics (context) - Ziegler, polytopes - 1995
30   Theory and practice (context) - Stinson, CRC et al. - 1995
29   Wiley-Interscience Series in Discrete Mathematics and Optimi.. (context) - Nemhauser, Wolsey et al. - 1988
28   Optimization methods for logical inference (context) - Chandru, Hooker - 1999
24   Finding a small root of a bivariate integer equation# factor.. (context) - Coppersmith - 1996
20   NFS with four large primes: an explosive experiment (context) - Dodson, Lenstra - 1995
18   Alpha-balanced graphs and matrices and GF (context) - Truemper - 1982
14   Finding small roots of univariate modular equations revisite.. (context) - Howgrave-Graham - 1997
12   Factorization and primality testing (context) - Bressoud - 1989
11   A class of logic problems solvable by linear programming (context) - Conforti, Cornu'ejols - 1995
11   The Hirsch conjecture is true (context) - Naddef - 1989
10   bicoloring and total dual integrality (context) - Conforti, Cornu'ejols et al. - 1995
10   Effective logic computation (context) - Truemper - 1998
10   Mathematical Programming (context) - Berge - 1972
8   Note sur les Q-matrices d'Edmonds (context) - Edmonds, Maurras - 1997
7   Pivot and complement --- a heuristic for 0-1 programming (context) - Balas, Martin - 1980
6   Geometric comparison of combinatorial polytopes (context) - Lee, Morris - 1994
5   Nordisk Tidskrift for Informationsbehandling (context) - Pollard, Carlo et al. - 1975
5   Combinatorial Optimization: Packing and Covering (context) - Cornu'ejols - 1999
4   Mathematical Programming (context) - Nobili, Sassano et al. - 1998
3   The volume of relaxed Boolean-quadric and cut polytopes - Ko, Lee et al. - 1997
2   A polytope for a product of real linear functions in 0=1vari.. (context) - Coppersmith, Lee et al. - 1999
2   Exact pivoting without the Euclidean algorithm (context) - Edmonds - 1994
2   A decomposition of 2-weak vertex-packing polytopes - Steingr'imsson - 1994
2   A note on the pivot and complement heuristic for 0-1 program.. (context) - Aboudi, Hallefjord et al. - 1989

Documents on the same site (http://www.ms.uky.edu/~math/MAreport/):   More
Non-Nested Multigrid Methods for Linear Problems - Bittencourt, Douglas..   (Correct)
Homotopy Groups of Connected Envelopes of Compact Abelian Groups - Enochs   (Correct)
Global Existence of Strong Solutions to the Three-Dimensional.. - Riley   (Correct)

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC