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: "weak models of distributed computing with connections to modal logic"
  Abstract: This work presents a classification of weak models of distributed computing. We focus on deterministic distributed algorithms, and study models of computing that are weaker versions of the widely-studied port-numbering model. In the port-numbering model, a node of degree $$d$$ d receives messages through $$d$$ d input ports and sends messages through $$d$$ d output ports, both numbered with $$1,2,\ldots ,d$$ 1 , 2 , ? , d . In this work, $${\mathsf{VV}}_\mathsf{c}$$ VV c is the class of all graph problems that can be solved in the standard port-numbering model. We study the following subclasses of $${\mathsf{VV}}_\mathsf{c}$$ VV c : Now we have many trivial containment relations, such as $$\mathsf{SB}\subseteq \mathsf{MB}\subseteq \mathsf{VB}\subseteq {\mathsf {VV}}\subseteq {\mathsf{VV}}_\mathsf{c}$$ SB ⊆ MB ⊆ VB ⊆ VV ⊆ VV c , but it is not obvious if, for example, either of $$\mathsf{VB}\subseteq \mathsf{SV}$$ VB ⊆ SV or $$\mathsf{SV}\subseteq \mathsf{VB}$$ SV ⊆ VB should hold. Nevertheless, it turns out that we can identify a linear order on these classes. We prove that $$\mathsf{SB}\subsetneq \mathsf{MB}= \mathsf{VB}\subsetneq \mathsf{SV}= \mathsf{MV}= {\mathsf {VV}}\subsetneq {\mathsf{VV}}_\mathsf{c}$$ SB ? MB = VB ? SV = MV = VV ? VV c . The same holds for the constant-time versions of these classes. We also show that the constant-time variants of these classes can be characterised by a corresponding modal logic. Hence the linear order identified in this work has direct implications in the study of the expressibility of modal logic. Conversely, one can use tools from modal logic to study these classes.

Connected through hyperedge HE-1 (induced by source paper "a survey on the expressive power of graph neural networks"):
  with members:
    - "random features strengthen graph neural networks"
    - "generalization and representational limits of graph neural networks"
    - "universal invariant and equivariant graph neural networks"
    - "exact combinatorial optimization with graph convolutional neural networks"
    - "exact k recommendation via maximal clique optimization"
    - "constant time graph neural networks"
    - "kgat knowledge graph attention network for recommendation"
    - "understanding attention and generalization in graph neural networks"

Connected through hyperedge HE-2 (induced by source paper "generalization and representational limits of graph neural networks"):
  with members:
    - "directional message passing for molecular graphs"
    - "efficient probabilistic logic reasoning with graph neural networks"
    - "universal invariant and equivariant graph neural networks"
    - "graph transformer networks"
    - "understanding the representation power of graph neural networks in learning graph topology"
    - "on the universality of invariant networks"
    - "approximation ratios of graph neural networks for combinatorial problems"
    - "a survey on graph kernels"

Connected through hyperedge HE-3 (induced by source paper "approximation ratios of graph neural networks for combinatorial problems"):
  with members:
    - "combinatorial optimization with graph convolutional networks and guided tree search"
    - "how powerful are graph neural networks"
    - "struc2vec learning node representations from structural identity"
    - "neural message passing for quantum chemistry"
    - "learning combinatorial optimization algorithms over graphs"
    - "neural combinatorial optimization with reinforcement learning"
    - "semi supervised classification with graph convolutional networks"
    - "local algorithms in weakly coloured graphs"

Connected through hyperedge HE-4 (induced by source paper "distributed computing in the asynchronous local model"):
  with members:
    - "improved deterministic distributed matching via rounding"
    - "polynomial lower bound for distributed graph coloring in a weak local model"
    - "on the complexity of local distributed graph problems"
    - "local conflict coloring"

Connected through hyperedge HE-5 (induced by source paper "identifiers in registers describing network algorithms with logic"):
  with members:
    - "survey of distributed decision"
    - "asynchronous distributed automata a characterization of the modal mu fragment"
    - "distributed graph automata"
    - "an automata theoretic approach to the verification of distributed algorithms"
    - "distributed graph automata"

Connected through hyperedge HE-6 (induced by source paper "counter machines and distributed automata a story about exchanging space and time"):
  with members:
    - "emptiness problems for distributed automata"
    - "asynchronous distributed automata a characterization of the modal mu fragment"

Connected through hyperedge HE-7 (induced by source paper "emptiness problems for distributed automata"):
  with members:
    - "counter machines and distributed automata a story about exchanging space and time"
    - "a dichotomy theorem for nonuniform csps"
    - "the proof of csp dichotomy conjecture"
    - "asynchronous distributed automata a characterization of the modal mu fragment"
    - "distributed graph automata"
    - "distributed graph automata"
    - "infinite networks halting and local algorithms"
    - "ontology based data access a study through disjunctive datalog csp and mmsnp"

Connected through hyperedge HE-8 (induced by source paper "polynomial lower bound for distributed graph coloring in a weak local model"):
  with members:
    - "distributed delta 1 coloring in sublogarithmic rounds"
    - "an exponential separation between randomized and deterministic complexity in the local model"
    - "local conflict coloring"
    - "a lower bound for the distributed lov asz local lemma"
    - "no sublogarithmic time approximation scheme for bipartite vertex cover"
    - "linear in delta lower bounds in the local model"
    - "the locality of distributed symmetry breaking"
    - "deterministic distributed vertex coloring in polylogarithmic time"

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)