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: "easy impossibility proofs for k set agreement in message passing systems"
  Abstract: Despite of being quite similar agreement problems, consensus and general k-set agreement require surprisingly different techniques for proving the impossibility in asynchronous systems with crash failures: Rather than relatively simple bivalence arguments as in the impossibility proof for consensus (= 1-set agreement) in the presence of a single crash failure, known proofs for the impossibility of k-set agreement in systems with at least k>1 crash failures use algebraic topology or a variant of Sperner's Lemma. In this paper, we present a generic theorem for proving the impossibility of k-set agreement in various message passing settings, which is based on a simple reduction to the consensus impossibility in a certain subsystem. We demonstrate the broad applicability of our result by exploring the possibility/impossibility border of k-set agreement in several message-passing system models: (i) asynchronous systems with crash failures, (ii) partially synchronous processes with (initial) crash failures, and (iii) asynchronous systems augmented with failure detectors. In (i) and (ii), the impossibility part is just an instantiation of our main theorem, whereas the possibility of achieving k-set agreement in (ii) follows by generalizing the consensus algorithm for initial crashes by Fisher, Lynch and Patterson. In (iii), applying our technique yields the exact border for the parameter k where k-set agreement is solvable with the failure detector class (Sigma_k,Omega_k), for (1<= k<= n-1), of Bonnet and Raynal. Considering that Sigma_k was shown to be necessary for solving k-set agreement, this result yields new insights on the quest for the weakest failure detector.

Connected through hyperedge HE-1 (induced by source paper "byzantine approximate agreement on graphs"):
  with members:
    - "lattice agreement in message passing systems"
    - "self stabilising byzantine clock synchronisation is almost as easy as consensus"
    - "near optimal self stabilising counting and firing squads"
    - "byzantine vector consensus in complete graphs"

Connected through hyperedge HE-2 (induced by source paper "effects of topology knowledge and relay depth on asynchronous consensus"):
  with members:
    - "gracefully degrading consensus and k set agreement in directed dynamic networks"
    - "reliable communication in a dynamic network in the presence of byzantine faults"
    - "approximate consensus in highly dynamic networks the role of averaging algorithms"
    - "reaching approximate byzantine consensus with multi hop communication"
    - "consensus of multi agent networks in the presence of adversaries using only local information"
    - "iterative approximate byzantine consensus under a generalized fault model"
    - "iterative approximate byzantine consensus in arbitrary directed graphs"
    - "robustness of complex networks with implications for consensus and contagion"

Connected through hyperedge HE-3 (induced by source paper "gracefully degrading consensus and k set agreement in directed dynamic networks"):
  with members:
    - "consensus in rooted dynamic networks with short lived stability"
    - "fast consensus under eventually stabilizing message adversaries"
    - "asynchrony from synchrony"
    - "agreement in directed dynamic networks"
    - "solving k set agreement with stable skeleton graphs"
    - "time varying graphs and dynamic networks"

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.DC(Distributed, Parallel, and Cluster Computing)