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: "on the proximity of markets with integral equilibria"
  Abstract: We study Fisher markets that admit equilibria wherein each good is integrally assigned to some agent. While strong existence and computational guarantees are known for equilibria of Fisher markets with additive valuations, such equilibria, in general, assign goods fractionally to agents. Hence, Fisher markets are not directly applicable in the context of indivisible goods. In this work we show that one can always bypass this hurdle and, up to a bounded change in agents' budgets, obtain markets that admit an integral equilibrium. We refer to such markets as pure markets and show that, for any given Fisher market (with additive valuations), one can efficiently compute a "near-by," pure market with an accompanying integral equilibrium. #R##N#Our work on pure markets leads to novel algorithmic results for fair division of indivisible goods. Prior work in discrete fair division has shown that, under additive valuations, there always exist allocations that simultaneously achieve the seemingly incompatible properties of fairness and efficiency; here fairness refers to envy-freeness up to one good (EF1) and efficiency corresponds to Pareto efficiency. However, polynomial-time algorithms are not known for finding such allocations. Considering relaxations of proportionality and EF1, respectively, as our notions of fairness, we show that fair and Pareto efficient allocations can be computed in strongly polynomial time.

Connected through hyperedge HE-1 (induced by source paper "algorithms for competitive division of chores"):
  with members:
    - "fair division with minimal sharing"
    - "strategyproof and approximately maxmin fair share allocation of chores"
    - "universal growth in production economies"
    - "fair allocation of combinations of indivisible goods and chores"
    - "competitive division of a mixed manna"
    - "approximation algorithms for computing maximin share allocations"
    - "almost envy freeness with general valuations"
    - "convex program duality fisher markets and nash social welfare"

Connected through hyperedge HE-2 (induced by source paper "a polynomial time algorithm for computing a pareto optimal and almost proportional allocation"):
  with members:
    - "fair division with minimal sharing"
    - "algorithms for competitive division of chores"
    - "weighted maxmin fair share allocation of indivisible chores"
    - "fair allocation of combinations of indivisible goods and chores"
    - "fair allocation of indivisible goods to asymmetric agents"
    - "competitive equilibria with indivisible goods and generic budgets"

Connected through hyperedge HE-3 (induced by source paper "fair division with bounded sharing"):
  with members:
    - "truthful fair division"

Connected through hyperedge HE-4 (induced by source paper "competitive equilibrium for almost all incomes existence and fairness"):
  with members:
    - "approximating nash social welfare under submodular valuations through un matchings"
    - "competitive equilibrium with generic budgets beyond additive"
    - "monotonicity and competitive equilibrium in cake cutting"
    - "negotiation strategies for agents with ordinal preferences"
    - "the complexity of cake cutting with unequal shares"
    - "fair allocation of indivisible goods to asymmetric agents"
    - "competitive division of a mixed manna"
    - "competitive equilibria with indivisible goods and generic budgets"

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.GT(Computer Science and Game Theory)