Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Guruswami-Sinop Rounding without Higher Level Lasserre   Guruswami and Sinop give a $O(1/\delta)$ approximation guarantee for the
non-uniform Sparsest Cut problem by solving $O(r)$-level Lasserre semidefinite
constraints, provided that the generalized eigenvalues of the Laplacians of the
cost and demand graphs satisfy a certain spectral condition, namely,
$\lambda_{r+1} \geq \Phi^{*}/(1-\delta)$. Their key idea is a rounding
technique that first maps a vector-valued solution to $[0, 1]$ using
appropriately scaled projections onto Lasserre vectors. In this paper, we show
that similar projections and analysis can be obtained using only $\ell_{2}^{2}$
triangle inequality constraints. This results in a $O(r/\delta^{2})$
approximation guarantee for the non-uniform Sparsest Cut problem by adding only
$\ell_{2}^{2}$ triangle inequality constraints to the usual semidefinite
program, provided that the same spectral condition, $\lambda_{r+1} \geq
\Phi^{*}/(1-\delta)$, holds.

35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int