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Abstract: : We consider the n-dimensional ternary Hamming space, T n = f0; 1; 2g n , and say that a subset L T n of three points form a line if they have exactly n 1 components in common. A subset of T n is called closed if, whenever it contains two points of a line, it contains also the third one. Finally, a generator is a subset, whose closure, the smallest closed set containing it, is T n . In this paper, we investigate several combinatorial properties of closed sets and generators,... (Update)
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BibTeX entry: (Update)
@article{ boros01combinatorial,
author = "Boros and Hammer and Ricca and Simeone",
title = "Combinatorial Problems Related to Origin-Destination Matrices",
journal = "DAMATH: Discrete Applied Mathematics and Combinatorial Operations Research and Computer Science",
volume = "115",
year = "2001",
url = "citeseer.ist.psu.edu/337942.html" }
Citations (may not include all citations):158 Matroid Theory (context) - Welsh - 1976
42 Cambridge University Press (context) - Cameron - 1994
40 On representatives of subsets (context) - Hall - 1935
16 The theory of error-correcting codes (context) - Williams, Sloane - 1977
7 personal communication (context) - Szegedy - 1998
2 Closed Sets and Generators in Ternary Hamming Spaces - Boros, Hammer et al. - 1998
2 Introduction to Di erence Equations (context) - Goldberg - 1958
2 the Complexity of Generation in Ternary Hamming Spaces - Boros, Hammer et al. - 1998
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