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On the ratio of optimal integral and fractional covers. (English) Zbl 0323.05127


MSC:

05C99 Graph theory
05C15 Coloring of graphs and hypergraphs
Full Text: DOI

References:

[1] J. Peck, oral communication.; J. Peck, oral communication.
[2] Berge, C., Graphs and Hypergraphs (1973), North-Holland: North-Holland Amsterdam · Zbl 0483.05029
[3] Edmonds, J., Sub modular functions, matroids and certain polyhedra, (Combinatorial Structures and its Applications (1970), Gordon and Breach: Gordon and Breach New York), 69-87 · Zbl 0268.05019
[4] Erdös, P., On a combinatorial problem II, Acta Math. Acad. Sci. Hungar., 15, 445-447 (1964) · Zbl 0201.33704
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[6] Lorentz, G., On a problem in additive number theory, Proc. Am. Math. Soc., 5, 838-841 (1954) · Zbl 0056.03902
[7] Lovász, L., Normal hypergraphs and the perfect graph conjecture, Discrete Math., 2, 253-267 (1972) · Zbl 0239.05111
[8] L. Lovász, 2-matchings and 2-covers of hypergraphs, to appear.; L. Lovász, 2-matchings and 2-covers of hypergraphs, to appear.
[9] C. Luchesi and D.H. Younger, A minimax theorem for directed graphs, to appear.; C. Luchesi and D.H. Younger, A minimax theorem for directed graphs, to appear. · Zbl 0392.05029
[10] McEliece, R. J.; Posner, E. C., Hide and seek, data storage, and entropy, Am. Statist., 42, 1706-1716 (1971) · Zbl 0235.05001
[11] Rosenfeld, M., On a problem of C.E. Shannon in graph theory, Proc. Am. Math. Soc., 18, 315-319 (1967) · Zbl 0147.42801
[12] S. Stahl, \(n\); S. Stahl, \(n\) · Zbl 0293.05115
[13] Berge, C., Graphs and Hypergraphs (1973), North-Holland: North-Holland Amsterdam · Zbl 0483.05029
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