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 "approximation algorithms for partially colorable graphs"):
  Abstract: Graph coloring problems are a central topic of study in the theory of algorithms. We study the problem of partially coloring partially colorable graphs. For $\alpha \leq 1$ and $k \in \mathbb{Z}^+$, we say that a graph $G=(V,E)$ is $\alpha$-partially $k$-colorable, if there exists a subset $S\subset V$ of cardinality $ |S | \geq \alpha | V |$ such that the graph induced on $S$ is $k$-colorable. Partial $k$-colorability is a more robust structural property of a graph than $k$-colorability. For graphs that arise in practice, partial $k$-colorability might be a better notion to use than $k$-colorability, since data arising in practice often contains various forms of noise. #R##N#We give a polynomial time algorithm that takes as input a $(1 - \epsilon)$-partially $3$-colorable graph $G$ and a constant $\gamma \in [\epsilon, 1/10]$, and colors a $(1 - \epsilon/\gamma)$ fraction of the vertices using $\tilde{O}\left(n^{0.25 + O(\gamma^{1/2})} \right)$ colors. We also study natural semi-random families of instances of partially $3$-colorable graphs and partially $2$-colorable graphs, and give stronger bi-criteria approximation guarantees for these family of instances.

Includes members:
  Member "a new algorithm for the robust semi random independent set problem":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "does robustness imply tractability a lower bound for planted clique in the semi random model")
  Member "does robustness imply tractability a lower bound for planted clique in the semi random model":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "exact recovery for a family of community detection generative models")
  Member "on the effect of randomness on planted 3 coloring models":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "towards learning sparsely used dictionaries with arbitrary supports")
  Member "combinatorial coloring of 3 colorable graphs":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "graph colouring algorithms")
  Member "faster parameterized algorithms using linear programming":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "structural parameterizations with modulator oblivion")
  Member "rounding semidefinite programming hierarchies via global correlation":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "new dependencies of hierarchies in polynomial optimization")
  Member "approximate graph coloring by semidefinite programming":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "positive semidefinite programming mixed parallel and width independent")

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)