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: "node labels in local decision"
  Abstract: The role of unique node identifiers in network computing is well understood as far as symmetry breaking is concerned. However, the unique identifiers also leak information about the computing environment - in particular, they provide some nodes with information related to the size of the network. It was recently proved that in the context of local decision, there are some decision problems such that (1) they cannot be solved without unique identifiers, and (2) unique node identifiers leak a sufficient amount of information such that the problem becomes solvable (PODC 2013). #R##N#In this work we give study what is the minimal amount of information that we need to leak from the environment to the nodes in order to solve local decision problems. Our key results are related to scalar oracles $f$ that, for any given $n$, provide a multiset $f(n)$ of $n$ labels; then the adversary assigns the labels to the $n$ nodes in the network. This is a direct generalisation of the usual assumption of unique node identifiers. We give a complete characterisation of the weakest oracle that leaks at least as much information as the unique identifiers. #R##N#Our main result is the following dichotomy: we classify scalar oracles as large and small, depending on their asymptotic behaviour, and show that (1) any large oracle is at least as powerful as the unique identifiers in the context of local decision problems, while (2) for any small oracle there are local decision problems that still benefit from unique identifiers.

Connected through hyperedge HE-1 (induced by source paper "introduction to local certification"):
  with members:
    - "note on distributed certification of minimum spanning trees"
    - "silent mst approximation for tiny memory"
    - "graph classes and forbidden patterns on three vertices"
    - "local verification of global proofs"
    - "redundancy in distributed proofs"
    - "distributed automata and logic"
    - "proof labeling schemes broadcast unicast and in between"
    - "error sensitive proof labeling schemes"

Connected through hyperedge HE-2 (induced by source paper "proof labeling schemes broadcast unicast and in between"):
  with members:
    - "a hierarchy of local decision"
    - "fast and compact self stabilizing verification computation and fault detection of an mst"
    - "what can be decided locally without identifiers"
    - "on the impact of identifiers on local decision"
    - "distributed verification and hardness of distributed approximation"

Connected through hyperedge HE-3 (induced by source paper "survey of distributed decision"):
  with members:
    - "proof labeling schemes broadcast unicast and in between"
    - "deterministic subgraph detection in broadcast congest"
    - "towards a complexity theory for the congested clique"
    - "space time tradeoffs for distributed verification"
    - "local distributed verification"
    - "fast distributed algorithms for testing graph properties"
    - "a hierarchy of local decision"
    - "distributed graph automata"

Connected through hyperedge HE-4 (induced by source paper "on the complexity of local distributed graph problems"):
  with members:
    - "polynomial lower bound for distributed graph coloring in a weak local model"
    - "distributed degree splitting edge coloring and orientations"
    - "distributed delta 1 coloring in sublogarithmic rounds"
    - "an exponential separation between randomized and deterministic complexity in the local model"
    - "a hierarchy of local decision"
    - "distributed strong diameter network decomposition"
    - "a fast network decomposition algorithm and its applications to constant time distributed computation"
    - "local conflict coloring"

Connected through hyperedge HE-5 (induced by source paper "a hierarchy of local decision"):
  with members:
    - "distributed graph automata"
    - "fast and compact self stabilizing verification computation and fault detection of an mst"
    - "distributed graph automata"
    - "what can be decided locally without identifiers"
    - "on the impact of identifiers on local decision"
    - "distributed verification and hardness of distributed approximation"

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)