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: "the complexity of distributed edge coloring with small palettes"
  Abstract: The complexity of distributed edge coloring depends heavily on the palette size as a function of the maximum degree $\Delta$. In this paper we explore the complexity of edge coloring in the LOCAL model in different palette size regimes. #R##N#1. We simplify the \emph{round elimination} technique of Brandt et al. and prove that $(2\Delta-2)$-edge coloring requires $\Omega(\log_\Delta \log n)$ time w.h.p. and $\Omega(\log_\Delta n)$ time deterministically, even on trees. The simplified technique is based on two ideas: the notion of an irregular running time and some general observations that transform weak lower bounds into stronger ones. #R##N#2. We give a randomized edge coloring algorithm that can use palette sizes as small as $\Delta + \tilde{O}(\sqrt{\Delta})$, which is a natural barrier for randomized approaches. The running time of the algorithm is at most $O(\log\Delta \cdot T_{LLL})$, where $T_{LLL}$ is the complexity of a permissive version of the constructive Lovasz local lemma. #R##N#3. We develop a new distributed Lovasz local lemma algorithm for tree-structured dependency graphs, which leads to a $(1+\epsilon)\Delta$-edge coloring algorithm for trees running in $O(\log\log n)$ time. This algorithm arises from two new results: a deterministic $O(\log n)$-time LLL algorithm for tree-structured instances, and a randomized $O(\log\log n)$-time graph shattering method for breaking the dependency graph into independent $O(\log n)$-size LLL instances. #R##N#4. A natural approach to computing $(\Delta+1)$-edge colorings (Vizing's theorem) is to extend partial colorings by iteratively re-coloring parts of the graph. We prove that this approach may be viable, but in the worst case requires recoloring subgraphs of diameter $\Omega(\Delta\log n)$. This stands in contrast to distributed algorithms for Brooks' theorem, which exploit the existence of $O(\log_\Delta n)$-length augmenting paths.

Connected through hyperedge HE-1 (induced by source paper "distributed edge coloring in time quasi polylogarithmic in delta"):
  with members:
    - "faster deterministic distributed coloring through recursive list coloring"
    - "polylogarithmic time deterministic network decomposition and distributed derandomization"
    - "towards the locality of vizing s theorem"
    - "distributed approximation algorithms for maximum matching in graphs and hypergraphs"
    - "deterministic distributed edge coloring with fewer colors"
    - "deterministic distributed edge coloring via hypergraph maximal matching"
    - "on derandomizing local distributed algorithms"
    - "distributed degree splitting edge coloring and orientations"

Connected through hyperedge HE-2 (induced by source paper "truly tight in delta bounds for bipartite maximal matching and variants"):
  with members:
    - "an automatic speedup theorem for distributed problems"
    - "classification of distributed binary labeling problems"
    - "lower bounds for maximal matchings and maximal independent sets"
    - "locality of not so weak coloring"
    - "hardness of minimal symmetry breaking in distributed computing"
    - "improved deterministic distributed matching via rounding"
    - "an exponential separation between randomized and deterministic complexity in the local model"
    - "distributed maximal matching greedy is optimal"

Connected through hyperedge HE-3 (induced by source paper "a breezing proof of the kmw bound"):
  with members:
    - "lower bounds for maximal matchings and maximal independent sets"
    - "on the complexity of local distributed graph problems"
    - "a hierarchy of local decision"
    - "a lower bound for the distributed lov asz local lemma"
    - "lower bounds for local approximation"
    - "local computation lower and upper bounds"

Connected through hyperedge HE-4 (induced by source paper "seeing far vs seeing wide volume complexity of local graph problems"):
  with members:
    - "an automatic speedup theorem for distributed problems"
    - "polylogarithmic time deterministic network decomposition and distributed derandomization"
    - "how much does randomness help with locally checkable problems"
    - "locality of not so weak coloring"
    - "almost global problems in the local model"
    - "the distributed complexity of locally checkable problems on paths is decidable"
    - "sparsifying distributed algorithms with ramifications in massively parallel computation and centralized local computation"
    - "hardness of minimal symmetry breaking in distributed computing"

Connected through hyperedge HE-5 (induced by source paper "classification of distributed binary labeling problems"):
  with members:
    - "seeing far vs seeing wide volume complexity of local graph problems"
    - "an automatic speedup theorem for distributed problems"
    - "polylogarithmic time deterministic network decomposition and distributed derandomization"
    - "lower bounds for maximal matchings and maximal independent sets"
    - "how much does randomness help with locally checkable problems"
    - "almost global problems in the local model"
    - "the distributed complexity of locally checkable problems on paths is decidable"
    - "hardness of minimal symmetry breaking in distributed computing"

Connected through hyperedge HE-6 (induced by source paper "faster deterministic distributed coloring through recursive list coloring"):
  with members:
    - "towards the locality of vizing s theorem"
    - "distributed approximation algorithms for maximum matching in graphs and hypergraphs"
    - "improved distributed delta coloring"
    - "deterministic distributed edge coloring with fewer colors"
    - "deterministic distributed edge coloring via hypergraph maximal matching"
    - "adapting sequential algorithms to the distributed setting"
    - "on derandomizing local distributed algorithms"
    - "polynomial lower bound for distributed graph coloring in a weak local model"

Connected through hyperedge HE-7 (induced by source paper "an automatic speedup theorem for distributed problems"):
  with members:
    - "lower bounds for maximal matchings and maximal independent sets"
    - "almost global problems in the local model"
    - "hardness of minimal symmetry breaking in distributed computing"
    - "sublogarithmic distributed algorithms for lov asz local lemma and the complexity hierarchy"
    - "new classes of distributed time complexity"
    - "a time hierarchy theorem for the local model"
    - "lcl problems on grids"
    - "on derandomizing local distributed algorithms"

Connected through hyperedge HE-8 (induced by source paper "lower bounds for maximal matchings and maximal independent sets"):
  with members:
    - "an automatic speedup theorem for distributed problems"
    - "hardness of minimal symmetry breaking in distributed computing"
    - "improved deterministic distributed matching via rounding"
    - "an exponential separation between randomized and deterministic complexity in the local model"
    - "local conflict coloring"
    - "an improved distributed algorithm for maximal independent set"
    - "a lower bound for the distributed lov asz local lemma"
    - "linear in delta lower bounds in the local model"

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)