human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "a deterministic algorithm for counting colorings with 2 delta colors"):
  Abstract: We give a polynomial time deterministic approximation algorithm (an FPTAS) for counting the number of $q$-colorings of a graph of maximum degree $\Delta$, provided only that $q\ge 2\Delta$. This substantially improves on previous deterministic algorithms for this problem, the best of which requires $q\ge 2.58\Delta$, and matches the natural bound for randomized algorithms obtained by a straightforward application of Markov chain Monte Carlo. In the special case when the graph is also triangle-free, we show that our algorithm applies under the condition $q \geq \alpha\Delta + \beta$, where $\alpha \approx 1.764$ and $\beta = \beta(\alpha)$ are absolute constants. #R##N#Our result applies more generally to list colorings, and to the partition function of the anti-ferromagnetic Potts model. Our algorithm exploits the so-called "polynomial interpolation" method of Barvinok, identifying a suitable region of the complex plane in which the Potts model partition function has no zeros. Interestingly, our method for identifying this zero-free region leverages probabilistic and combinatorial ideas that have been used in the analysis of Markov chains.

Includes members:
  Member "algorithms for bis hard problems on expander graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "efficient algorithms for the potts model on small set expanders")
  Member "zeros of holant problems locations and algorithms":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "zeros and approximations of holant polynomials on the complex plane")
  Member "algorithmic pirogov sinai theory":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "efficient algorithms for the potts model on small set expanders")
  Member "improved bounds for randomly sampling colorings via linear programming":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "counting independent sets and colorings on random regular bipartite graphs")
  Member "the ising partition function zeros and deterministic approximation":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "zeros and approximations of holant polynomials on the complex plane")
  Member "approximating the permanent of a random matrix with vanishing mean":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "approximating the determinant of well conditioned matrices by shallow circuits")
  Member "an fptas for counting proper four colorings on cubic graphs":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "counting independent sets and colorings on random regular bipartite graphs")

Question: Please tell me which class the source paper 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.CC(Computational Complexity)