human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "polynomial integrality gaps for strong sdp relaxations of densest k subgraph"
  Abstract: The densest k-subgraph (DkS) problem (i.e. find a size k subgraph with maximum number of edges), is one of the notorious problems in approximation algorithms. There is a significant gap between known upper and lower bounds for DkS: the current best algorithm gives an ~ O(n^{1/4}) approximation, while even showing a small constant factor hardness requires significantly stronger assumptions than P != NP. In addition to interest in designing better algorithms, a number of recent results have exploited the conjectured hardness of densest k-subgraph and its variants. Thus, understanding the approximability of DkS is an important challenge. #R##N#In this work, we give evidence for the hardness of approximating DkS within polynomial factors. Specifically, we expose the limitations of strong semidefinite programs from SDP hierarchies in solving densest k-subgraph. Our results include: #R##N#* A lower bound of Omega(n^{1/4}/log^3 n) on the integrality gap for Omega(log n/log log n) rounds of the Sherali-Adams relaxation for DkS. This also holds for the relaxation obtained from Sherali-Adams with an added SDP constraint. Our gap instances are in fact Erdos-Renyi random graphs. #R##N#* For every epsilon > 0, a lower bound of n^{2/53-eps} on the integrality gap of n^{Omega(eps)} rounds of the Lasserre SDP relaxation for DkS, and an n^{Omega_eps(1)} gap for n^{1-eps} rounds. Our construction proceeds via a reduction from random instances of a certain Max-CSP over large domains. #R##N#In the absence of inapproximability results for DkS, our results show that even the most powerful SDPs are unable to beat a factor of n^{Omega(1)}, and in fact even improving the best known n^{1/4} factor is a barrier for current techniques.

Connected through hyperedge HE-1 (induced by source paper "high dimensional estimation via sum of squares proofs"):
  with members:
    - "mixture models robustness and sum of squares proofs"

Connected through hyperedge HE-2 (induced by source paper "almost polynomial ratio eth hardness of approximating densest k subgraph"):
  with members:
    - "settling the complexity of computing approximate two player nash equilibria"
    - "inapproximability results for approximate nash equilibria"
    - "a birthday repetition theorem and complexity of approximating dense csps"
    - "partitioning a graph into small pieces with applications to path transversal"
    - "combining traditional marketing and viral marketing with amphibious influence maximization"
    - "eth hardness for densest k subgraph with perfect completeness"
    - "eth hardness for signaling in symmetric zero sum games"
    - "approximating dense max 2 csps"

Connected through hyperedge HE-3 (induced by source paper "strong reductions for extended formulations"):
  with members:
    - "approximating rectangles by juntas and weakly exponential lower bounds for lp relaxations of csps"
    - "the matching polytope does not admit fully polynomial size relaxation schemes"
    - "extension complexity mso logic and treewidth"
    - "no small linear program approximates vertex cover within a factor 2 epsilon"
    - "lower bounds on the size of semidefinite programming relaxations"
    - "approximate constraint satisfaction requires large lp relaxations"
    - "sparsest cut on bounded treewidth graphs algorithms and hardness results"
    - "the matching polytope has exponential extension complexity"

Connected through hyperedge HE-4 (induced by source paper "partitioning a graph into small pieces with applications to path transversal"):
  with members:
    - "linear kernels for edge deletion problems to immersion closed graph classes"
    - "almost polynomial ratio eth hardness of approximating densest k subgraph"
    - "hardness of approximation for h free edge modification problems"
    - "on the computational complexity of vertex integrity and component order connectivity"
    - "the complexity of approximating vertex expansion"
    - "fixed parameter and approximation algorithms a new look"
    - "a new multilayered pcp and the hardness of hypergraph vertex cover"

Connected through hyperedge HE-5 (induced by source paper "sos and planted clique tight analysis of mpw moments at all degrees and an optimal lower bound at degree four"):
  with members:
    - "improved sum of squares lower bounds for hidden clique and hidden submatrix problems"
    - "sum of squares lower bounds for sparse pca"
    - "sum of squares lower bounds from pairwise independence"
    - "tight lower bounds for planted clique in the degree 4 sos program"
    - "decomposing overcomplete 3rd order tensors using sum of squares algorithms"
    - "tensor prediction rademacher complexity and random 3 xor"
    - "sum of squares lower bounds for planted clique"
    - "lower bounds on the size of semidefinite programming relaxations"

Connected through hyperedge HE-6 (induced by source paper "integrality gaps and approximation algorithms for dispersers and bipartite expanders"):
  with members:
    - "approximation algorithms for hypergraph small set expansion and small set vertex expansion"
    - "the complexity of approximating vertex expansion"
    - "constant factor lasserre integrality gaps for graph partitioning problems"
    - "approximation algorithm for non boolean max k csp"
    - "explicit optimal hardness via gaussian stability results"
    - "better balance by being biased a 0 8776 approximation for max bisection"
    - "min max graph partitioning and small set expansion"
    - "approximating csps with global cardinality constraints using sdp hierarchies"

Connected through hyperedge HE-7 (induced by source paper "on the hardest problem formulations for the 0 1 lasserre hierarchy"):
  with members:
    - "sum of squares lower bounds from pairwise independence"
    - "lower bounds on the size of semidefinite programming relaxations"
    - "analysis of boolean functions"
    - "hypercontractivity sum of squares proofs and their applications"
    - "approximability and proof complexity"
    - "rounding semidefinite programming hierarchies via global correlation"
    - "approximating csps with global cardinality constraints using sdp hierarchies"
    - "integrality gaps of linear and semi definite programming relaxations for knapsack"

Connected through hyperedge HE-8 (induced by source paper "eth hardness for densest k subgraph with perfect completeness"):
  with members:
    - "improved sum of squares lower bounds for hidden clique and hidden submatrix problems"
    - "can almost everybody be almost happy pcp for ppad and the inapproximability of nash"
    - "combining traditional marketing and viral marketing with amphibious influence maximization"
    - "sum of squares lower bounds for planted clique"
    - "am with multiple merlins"
    - "new algorithms for learning incoherent and overcomplete dictionaries"
    - "finding endogenously formed communities"
    - "finding overlapping communities in social networks toward a rigorous approach"

Question: Please tell me which class the center node belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.DS(Data Structures and Algorithms)