Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maxima of the Q-index: graphs with bounded clique number   This paper gives a tight upper bound on the spectral radius of the signless
Laplacian of graphs of given order and clique number. More precisely, let G be
a graph of order n, let A be its adjacency matrix, and let D be the diagonal
matrix of the row-sums of A. If G has clique number r, then the largest
eigenvalue q(G) of the matrix Q=A+D satisfies q(G)<= 2(1-1/r)n.
  If G is a complete regular r-partite graph, then equality holds in the above
inequality. This result confirms a conjecture of Hansen and Lucas.

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The categories of this paper are: dg-ga
16
The categories of this paper are: stat
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th