human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "effective resistance reducing flows spectrally thin trees and asymmetric tsp"):
  Abstract: We show that the integrality gap of the natural LP relaxation of the Asymmetric Traveling Salesman Problem is $\text{polyloglog}(n)$. In other words, there is a polynomial time algorithm that approximates the value of the optimum tour within a factor of $\text{polyloglog}(n)$, where $\text{polyloglog}(n)$ is a bounded degree polynomial of $\log\log(n)$. We prove this by showing that any $k$-edge-connected unweighted graph has a $\text{polyloglog}(n)/k$-thin spanning tree. #R##N#Our main new ingredient is a procedure, albeit an exponentially sized convex program, that "transforms" graphs that do not admit any spectrally thin trees into those that provably have spectrally thin trees. More precisely, given a $k$-edge-connected graph $G=(V,E)$ where $k\geq 7\log(n)$, we show that there is a matrix $D$ that "preserves" the structure of all cuts of $G$ such that for a set $F\subseteq E$ that induces an $\Omega(k)$-edge-connected graph, the effective resistance of every edge in $F$ w.r.t. $D$ is at most $\text{polylog}(k)/k$. Then, we use a recent extension of the seminal work of Marcus, Spielman, and Srivastava [MSS13] by the authors [AO14] to prove the existence of a $\text{polylog}(k)/k$-spectrally thin tree with respect to $D$. Such a tree is $\text{polylog}(k)/k$-combinatorially thin with respect to $G$ as $D$ preserves the structure of cuts of $G$.

Includes members:
  Member "approximating atsp by relaxing connectivity":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "an improved approximation algorithm for atsp")
  Member "the kadison singer problem for strongly rayleigh measures and applications to asymmetric tsp":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "the ising partition function zeros and deterministic approximation")
  Member "a near optimal approximation algorithm for asymmetric tsp on embedded graphs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "computational topology of graphs on surfaces")
  Member "pipage rounding pessimistic estimators and matrix concentration":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "tail bounds for volume sampled linear regression")
  Member "a randomized rounding algorithm for the asymmetric traveling salesman problem":
    also connected through other hyperedges:
      (none)
  Member "the asymmetric traveling salesman problem on graphs with bounded genus":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a method to compute the sparse graphs for traveling salesman problem based on frequency quadrilaterals")
  Member "twice ramanujan sparsifiers":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "sketching transformed matrices with applications to natural language processing")
  Member "graph sparsification by effective resistances":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "approximating spectral clustering via sampling a review")

Question: Please tell me which class the source paper 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)