Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Lovasz number of random graphs   We study the Lovasz number theta along with two further SDP relaxations
theta1, theta1/2 of the independence number and the corresponding relaxations
of the chromatic number on random graphs G(n,p). We prove that these
relaxations are concentrated about their means Moreover, extending a result of
Juhasz, we compute the asymptotic value of the relaxations for essentially the
entire range of edge probabilities p. As an application, we give an improved
algorithm for approximating the independence number in polynomial expected
time, thereby extending a result of Krivelevich and Vu. We also improve on the
analysis of an algorithm of Krivelevich for deciding whether G(n,p) is
k-colorable.

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The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an