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 "holographic algorithms beyond matchgates"):
  Abstract: Holographic algorithms introduced by Valiant are composed of two ingredients: matchgates, which are gadgets realizing local constraint functions by weighted planar perfect matchings, and holographic reductions, which show equivalences among problems with different descriptions via certain basis transformations. In this paper, we replace matchgates in the paradigm above by the affine type and the product type constraint functions, which are known to be tractable in general (not necessarily planar) graphs. More specifically, we present polynomial-time algorithms to decide if a given counting problem has a holographic reduction to another problem defined by the affine or product-type functions. Our algorithms also find a holographic transformation when one exists. We further present polynomial-time algorithms of the same decision and search problems for symmetric functions, where the complexity is measured in terms of the (exponentially more) succinct representations. The algorithm for the symmetric case also shows that the recent dichotomy theorem for Holant problems with symmetric constraints is efficiently decidable. Our proof techniques are mainly algebraic, e.g., using stabilizers and orbits of group actions.

Includes members:
  Member "the complexity of planar boolean csp with complex weights":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "complexity of counting weighted eulerian orientations with ars")
  Member "a complete dichotomy rises from the capture of vanishing signatures":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "zeros and approximations of holant polynomials on the complex plane")
  Member "dichotomy for holant problems with a function on domain size 3":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "base collapse of holographic algorithms")
  Member "complexity of counting csp with complex weights":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "optimal polynomial time compression for boolean max csp")
  Member "gadgets and anti gadgets leading to a complexity dichotomy":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a holant dichotomy is the fkt algorithm universal")
  Member "an effective dichotomy for the counting constraint satisfaction problem":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "approximate counting csp seen from the other side")
  Member "holographic algorithms with matchgates capture precisely tractable planar csp":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "counting edge injective homomorphisms and matchings on restricted graph classes")
  Member "from holant to csp and back dichotomy for holant c problems":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "holant clones and the approximability of conservative holant problems")

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.DS(Data Structures and Algorithms)