Abstract
We show that for a random graph Lovász’ ϑ function is of order √n.
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References
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Z. Füredi andJ. Komlós, The eigenvalues of random symmetric matrices,Combinatorica 1 (1981) 233–241.
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F. Juhász, On the spectra of non-symmetric random (0,1) matrices,to appear in Discrete Mathematics.
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L. Lovász, On the Shannon capacity of a graph,IEEE Transactions on Information Theory,25 (1979) 1–7.
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Juhász, F. The asymptotic behaviour of lovász’ ϑ function for random graphs. Combinatorica 2, 153–155 (1982). https://doi.org/10.1007/BF02579314
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AMS Subject classification (1980)
- 05 C 50
- 60 C 05