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 "improved metric distortion for deterministic social choice rules"):
  Abstract: In this paper, we study the metric distortion of deterministic social choice rules that choose a winning candidate from a set of candidates based on voter preferences. Voters and candidates are located in an underlying metric space. A voter has cost equal to her distance to the winning candidate. Ordinal social choice rules only have access to the ordinal preferences of the voters that are assumed to be consistent with the metric distances. Our goal is to design an ordinal social choice rule with minimum distortion, which is the worst-case ratio, over all consistent metrics, between the social cost of the rule and that of the optimal omniscient rule with knowledge of the underlying metric space. The distortion of the best deterministic social choice rule was known to be between 3 and 5. It had been conjectured that any rule that only looks at the weighted tournament graph on the candidates cannot have distortion better than 5. In our paper, we disprove it by presenting a weighted tournament rule with distortion of 4.236. We design this rule by generalizing the classic notion of uncovered sets, and further show that this class of rules cannot have distortion better than 4.236. We then propose a new voting rule, via an alternative generalization of uncovered sets. We show that if a candidate satisfying the criterion of this voting rule exists, then choosing such a candidate yields a distortion bound of 3, matching the lower bound. We present a combinatorial conjecture that implies distortion of $3$, and verify it for small numbers of candidates and voters by computer experiments. Using our framework, we also show that selecting any candidate guarantees distortion of at most 3 when the weighted tournament graph is cyclically symmetric.

Includes members:
  Member "ordinal approximation for social choice matching and facility location problems given candidate positions":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "peeking behind the ordinal curtain improving distortion via cardinal queries")
  Member "relating metric distortion and fairness of social choice rules":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "peeking behind the ordinal curtain improving distortion via cardinal queries")
  Member "tradeoffs between information and ordinal approximation for bipartite matching":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "peeking behind the ordinal curtain improving distortion via cardinal queries")
  Member "of the people voting is more effective with representative candidates":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "peeking behind the ordinal curtain improving distortion via cardinal queries")
  Member "on the distortion of voting with multiple representative candidates":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "peeking behind the ordinal curtain improving distortion via cardinal queries")
  Member "metric distortion of social choice rules lower bounds and fairness properties":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "peeking behind the ordinal curtain improving distortion via cardinal queries")
  Member "randomized social choice functions under metric preferences":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "how good is a two party election game")
  Member "on voting and facility location":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "selecting voting locations for fun and profit")

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.GT(Computer Science and Game Theory)