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 "consenus halving does it ever get easier"):
  Abstract: In the $\varepsilon$-Consensus-Halving problem, a fundamental problem in fair division, there are $n$ agents with valuations over the interval $[0,1]$, and the goal is to divide the interval into pieces and assign a label "$+$" or "$-$" to each piece, such that every agent values the total amount of "$+$" and the total amount of "$-$" almost equally. The problem was recently proven by Filos-Ratsikas and Goldberg [2019] to be the first "natural" complete problem for the computational class PPA, answering a decade-old open question. #R##N#In this paper, we examine the extent to which the problem becomes easy to solve, if one restricts the class of valuation functions. To this end, we provide the following contributions. First, we obtain a strengthening of the PPA-hardness result of [Filos-Ratsikas and Goldberg 2019], to the case when agents have piecewise uniform valuations with only two blocks. We obtain this result via a new reduction, which is in fact conceptually much simpler than the corresponding one in [Filos-Ratsikas and Goldberg 2019]. Then, we consider the case of single-block (uniform) valuations and provide a parameterized polynomial time algorithm for solving $\varepsilon$-Consensus-Halving for any $\varepsilon$, as well as a polynomial-time algorithm for $\varepsilon=1/2$; these are the first algorithmic results for the problem. Finally, an important application of our new techniques is the first hardness result for a generalization of Consensus-Halving, the Consensus-$1/k$-Division problem. In particular, we prove that $\varepsilon$-Consensus-$1/3$-Division is PPAD-hard.

Includes members:
  Member "the hairy ball problem is ppad complete":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the classes ppa k existence from arguments modulo k")
  Member "computing exact solutions of consensus halving and the borsuk ulam theorem":
    also connected through other hyperedges:
      (none)
  Member "on the complexity of modulo q arguments and the chevalley warning theorem":
    also connected through other hyperedges:
      (none)
  Member "fair and efficient cake division with connected pieces":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "contiguous cake cutting hardness results and approximation algorithms")
  Member "the classes ppa k existence from arguments modulo k":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on the complexity of modulo q arguments and the chevalley warning theorem")
  Member "the complexity of splitting necklaces and bisecting ham sandwiches":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "computing exact solutions of consensus halving and the borsuk ulam theorem")
  Member "consensus halving is ppa complete":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "computing exact solutions of consensus halving and the borsuk ulam theorem")
  Member "a discrete and bounded envy free cake cutting protocol for any number of agents":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "maximin fairness with mixed divisible and indivisible goods")

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.CC(Computational Complexity)