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: "an fptas for counting proper four colorings on cubic graphs"
  Abstract: Graph coloring is arguably the most exhaustively studied problem in the area of approximate counting. It is conjectured that there is a fully polynomial-time (randomized) approximation scheme (FPTAS/FPRAS) for counting the number of proper colorings as long as $q \geq \Delta + 1$, where $q$ is the number of colors and $\Delta$ is the maximum degree of the graph. The bound of $q = \Delta + 1$ is the uniqueness threshold for Gibbs measure on $\Delta$-regular infinite trees. However, the conjecture remained open even for any fixed $\Delta\geq 3$ (The cases of $\Delta=1, 2$ are trivial). In this paper, we design an FPTAS for counting the number of proper $4$-colorings on graphs with maximum degree $3$ and thus confirm the conjecture in the case of $\Delta=3$. This is the first time to achieve this optimal bound of $q = \Delta + 1$. Previously, the best FPRAS requires $q > \frac{11}{6} \Delta$ and the best deterministic FPTAS requires $q > 2.581\Delta + 1$ for general graphs. In the case of $\Delta=3$, the best previous result is an FPRAS for counting proper 5-colorings. We note that there is a barrier to go beyond $q = \Delta + 2$ for single-site Glauber dynamics based FPRAS and we overcome this by correlation decay approach. Moreover, we develop a number of new techniques for the correlation decay approach which can find applications in other approximate counting problems.

Connected through hyperedge HE-1 (induced by source paper "counting independent sets and colorings on random regular bipartite graphs"):
  with members:
    - "algorithms for bis hard problems on expander graphs"
    - "improved bounds for randomly sampling colorings via linear programming"
    - "bis hardness for 2 spin systems on bipartite bounded degree graphs in the tree non uniqueness region"
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "fptas for bis with degree bounds on one side"
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "ferromagnetic potts model refined bis hardness and related results"
    - "approximating the partition function of the ferromagnetic potts model"

Connected through hyperedge HE-2 (induced by source paper "a deterministic algorithm for counting colorings with 2 delta colors"):
  with members:
    - "algorithms for bis hard problems on expander graphs"
    - "zeros of holant problems locations and algorithms"
    - "algorithmic pirogov sinai theory"
    - "improved bounds for randomly sampling colorings via linear programming"
    - "the ising partition function zeros and deterministic approximation"
    - "approximating the permanent of a random matrix with vanishing mean"

Connected through hyperedge HE-3 (induced by source paper "fpras for the potts model and the number of k colorings"):
  with members:
    - "improved bounds for randomly sampling colorings via linear programming"
    - "mixing of the glauber dynamics for the ferromagnetic potts model"
    - "ferromagnetic potts model refined bis hardness and related results"
    - "inapproximability of the tutte polynomial of a planar graph"
    - "approximating the partition function of the ferromagnetic potts model"

Connected through hyperedge HE-4 (induced by source paper "uniqueness for the 3 state antiferromagnetic potts model on the tree"):
  with members:
    - "sampling in uniqueness from the potts and random cluster models on random regular graphs"
    - "sampling random colorings of sparse random graphs"
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "spatial mixing and the connective constant optimal bounds"
    - "correlation decay up to uniqueness in spin systems"

Connected through hyperedge HE-5 (induced by source paper "randomly coloring graphs of bounded treewidth"):
  with members:
    - "rapidly mixing markov chains a comparison of techniques a survey"
    - "random cluster dynamics for the ising model is rapidly mixing"
    - "sparsest cut on bounded treewidth graphs algorithms and hardness results"
    - "known algorithms on graphs of bounded treewidth are probably optimal"

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.DS(Data Structures and Algorithms)