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 "counting homomorphisms modulo a prime number"):
  Abstract: Counting problems in general and counting graph homomorphisms in particular have numerous applications in combinatorics, computer science, statistical physics, and elsewhere. One of the most well studied problems in this area is #GraphHom(H) --- the problem of finding the number of homomorphisms from a given graph G to the graph H. Not only the complexity of this basic problem is known, but also of its many variants for digraphs, more general relational structures, graphs with weights, and others. #R##N#In this paper we consider a modification of #GraphHom(H), the #_p GraphHom(H) problem, p a prime number: Given a graph G, find the number of homomorphisms from G to H modulo p. In a series of papers Faben and Jerrum, and Goebel et al. determined the complexity of #_2 GraphHom(H) in the case H (or, in fact, a certain graph derived from H) is square-free, that is, does not contain a 4-cycle. Also, Goebel et al. found the complexity of #_p GraphHom(H) for an arbitrary prime p when H is a tree. Here we extend the above result to show that the #_p GraphHom(H) problem is #_p P-hard whenever the derived graph associated with H is square-free and is not a star, which completely classifies the complexity of #_p GraphHom(H) for square-free graphs H.

Includes members:
  Member "counting homomorphisms to trees modulo a prime":
    also connected through other hyperedges:
      (none)
  Member "inapproximability of the independent set polynomial in the complex plane":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "holant clones and the approximability of conservative holant problems")
  Member "counting homomorphisms to square free graphs modulo 2":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "the complexity of approximately counting retractions to square free graphs")
  Member "the complexity of counting homomorphisms to cactus graphs modulo 2":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "counting homomorphisms to square free graphs modulo 2")
  Member "the complexity of parity graph homomorphism an initial investigation":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "counting homomorphisms to trees modulo a prime")
  Member "graph homomorphisms with complex values a dichotomy theorem":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a dichotomy for bounded degree graph homomorphisms with nonnegative weights")
  Member "a complexity dichotomy for partition functions with mixed signs":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "a dichotomy for bounded degree graph homomorphisms with nonnegative weights")

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)