How to color a checkerboard with a given distribution - Matrix rounding achieving low 2 × 2-discrepancy

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2223 LNCS, Issue , 2001, Pages 636-648

  Asano, Tetsuo ^a   Tokuyama, Takeshi ^b  

^a JAPAN ADVANCED INSTITUTE OF SCIENCE AND TECHNOLOGY   (Japan)

^b TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY MATRIX; DIGITAL HALFTONING; GRAPH MATCHINGS; LOWER BOUNDS; MATRIX; MATRIX ROUNDING; SQUARE SUBMATRICES; UPPER BOUND; DISTRIBUTION MATRICES;

COMPUTATION THEORY; CONTROL THEORY; PATTERN MATCHING; BINS; IMAGE MATCHING;

MATRIX ALGEBRA;

EID: 70350648025     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45678-3_54     Document Type: Conference Paper

References (9)

1. R. Ahuja, T. Magnanti, and J. Orlin, Network Flows, Theory Algorithms and Applications, Princeton Hall, 1993. 639
2. T. Asano, T. Matsui, and T. Tokuyama: "On the Complexities of the Optimal Rounding Problems of Sequences and Matrices," Proc. 7th Scandinavian Workshop on Algorithm Theory, pp. 476-489, Bergen, Norway, July 2000. 636, 637, 638
3. T. Asano, T. Matsui, and T. Tokuyama: "Optimal Roundings of Sequences and Matrices," Nordic Journal of Computing, 7 (2000), 241-256. 636
4. Z. Baranyai, "On the factorization of the complete uniform hypergraphs", in Infinite and Finite Sets, eds. A. Hanaj, R. Rado and V. T. Sós, Colloq. Math. Soc. J'anos Bolyai 10 (1974), pp. 91-108. 636, 638
5. J. Beck and W. Chen, Irregularities of Distribution, Cambridge University Press, Cambridge, 1987. 637
6. J. Beck and V. T. Sös, Discrepancy Theory, in Handbook of Combinatorics Volume II, (ed. R. Graham, M. Grötschel, and L Lovász) 1995, Elsevier. 638
7. R. W. Floyd and L. Steinberg: "An adaptive algorithm for spatial gray scale," SID 75 Digest, Society for Information Display, (1975) pp. 36-37. 637
8. D. E. Knuth: "Digital halftones by dot diffusion," ACM Trans. Graphics, 6-4 (1987), pp. 245-273. 637
9. R. Ulichney: Digital halftoning, MIT Press, 1987. 637