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Combinatorial Problems Related to Origin-Destination Matrices (2000)  (Make Corrections)  
Endre Boros, Peter L. Hammer, Federica Ricca, Bruno Simeone
DAMATH: Discrete Applied Mathematics and Combinatorial Operations Research and Computer Science



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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/article/boros00combinatorial.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
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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