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: "comparing approximate relaxations of envy freeness"
  Abstract: In fair division problems with indivisible goods it is well known that one cannot have any guarantees for the classic fairness notions of envy-freeness and proportionality. As a result, several relaxations have been introduced, most of which in quite recent works. We focus on four such notions, namely envy-freeness up to one good (EF1), envy-freeness up to any good (EFX), maximin share fairness (MMS), and pairwise maximin share fairness (PMMS). Since obtaining these relaxations also turns out to be problematic in several scenarios, approximate versions of them have been considered. In this work, we investigate further the connections between the four notions mentioned above and their approximate versions. We establish several tight, or almost tight, results concerning the approximation quality that any of these notions guarantees for the others, providing an almost complete picture of this landscape. Some of our findings reveal interesting and surprising consequences regarding the power of these notions, e.g., PMMS and EFX provide the same worst-case guarantee for MMS, despite PMMS being a strictly stronger notion than EFX. We believe such implications provide further insight on the quality of approximately fair solutions.

Connected through hyperedge HE-1 (induced by source paper "maximin fairness with mixed divisible and indivisible goods"):
  with members:
    - "computing envy freeable allocations with limited subsidies"
    - "one dollar each eliminates envy"
    - "fair division of mixed divisible and indivisible goods"
    - "weighted maxmin fair share allocation of indivisible chores"
    - "maximin share allocations on cycles"
    - "an improved approximation algorithm for maximin shares"
    - "an algorithmic framework for approximating maximin share allocation of chores"
    - "strategyproof and approximately maxmin fair share allocation of chores"

Connected through hyperedge HE-2 (induced by source paper "fairrec two sided fairness for personalized recommendations in two sided platforms"):
  with members:
    - "fairness aware ranking in search recommendation systems with application to linkedin talent search"
    - "incremental fairness in two sided market platforms on smoothly updating recommendations"
    - "estimating position bias without intrusive interventions"
    - "multi stakeholder recommendation and its connection to multi sided fairness"
    - "equity of attention amortizing individual fairness in rankings"
    - "almost envy free allocations with connected bundles"
    - "fair division under cardinality constraints"
    - "groupwise maximin fair allocation of indivisible goods"

Connected through hyperedge HE-3 (induced by source paper "envy freeness up to any item with high nash welfare the virtue of donating items"):
  with members:
    - "on fair division of indivisible items"
    - "approximation algorithms for computing maximin share allocations"
    - "almost envy freeness with general valuations"
    - "approximating the nash social welfare with budget additive valuations"
    - "finding fair and efficient allocations"
    - "a discrete and bounded envy free cake cutting protocol for any number of agents"
    - "convex program duality fisher markets and nash social welfare"
    - "nash social welfare for indivisible items under separable piecewise linear concave utilities"

Connected through hyperedge HE-4 (induced by source paper "greedy algorithms for fair division of mixed manna"):
  with members:
    - "almost envy freeness and welfare efficiency in fair division with goods or bads"
    - "fair allocation of combinations of indivisible goods and chores"
    - "greedy algorithms for maximizing nash social welfare"
    - "competitive division of a mixed manna"
    - "almost envy freeness with general valuations"
    - "finding fair and efficient allocations"
    - "dividing goods or bads under additive utilities"
    - "online fair division analysing a food bank problem"

Connected through hyperedge HE-5 (induced by source paper "approximate knapsack computations to count semi fair allocations"):
  with members:
    - "a faster fptas for knapsack problem with cardinality constraint"
    - "a faster fptas for the subset sums ratio problem"
    - "a deterministic polynomial time approximation scheme for counting knapsack solutions"

Connected through hyperedge HE-6 (induced by source paper "fair in the eyes of others"):
  with members:
    - "multiple birds with one stone beating 1 2 for efx and gmms via envy cycle elimination"

Connected through hyperedge HE-7 (induced by source paper "almost envy free allocations with connected bundles"):
  with members:
    - "fairly allocating contiguous blocks of indivisible items"
    - "maximin share allocations on cycles"
    - "fair allocation of combinations of indivisible goods and chores"
    - "fairly allocating many goods with few queries"
    - "fair division under cardinality constraints"
    - "pareto optimal allocation of indivisible goods with connectivity constraints"
    - "competitive division of a mixed manna"
    - "almost envy freeness with general valuations"

Connected through hyperedge HE-8 (induced by source paper "democratic fair allocation of indivisible goods"):
  with members:
    - "fairly allocating contiguous blocks of indivisible items"
    - "almost envy freeness in group resource allocation"
    - "connected fair allocation of indivisible goods"
    - "computing a small agreeable set of indivisible items"
    - "fair allocation of combinations of indivisible goods and chores"
    - "almost envy free allocations with connected bundles"
    - "lecture notes on fair division"
    - "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)