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: "counting homomorphisms and partition functions"
  Abstract: Homomorphisms between relational structures are not only fundamental mathematical objects, but are also of great importance in an applied computational context. Indeed, constraint satisfaction problems (CSPs), a wide class of algorithmic problems that occur in many different areas of computer science such as artificial intelligence or database theory, may be viewed as asking for homomorphisms between two relational structures [FedVar98]. In a logical setting, homomorphisms may be viewed as witnesses for positive primitive formulas in a relational language. As we shall see, homomorphisms, or more precisely the numbers of homomorphisms between two structures, are also related to a fundamental computational problem of statistical physics. #R##N#In this article, we are concerned with the complexity of counting homomorphisms from a given structure A to a fixed structure B. Actually, we are mainly interested in a generalization of this problem to weighted homomorphisms (or partition functions). We almost exclusively focus on graphs. The first part of the article is a short survey of what is known about the problem. In the second part, we give a proof of a theorem due to Bulatov and the first author of this paper [BulGro05], which classifies the complexity of partition functions described by matrices with non-negative entries. The proof we give here is essentially the same as the original one, with a few shortcuts due to [Thu09], but it is phrased in a different, more graph theoretical language that may make it more accessible to most readers.

Connected through hyperedge HE-1 (induced by source paper "a dichotomy for bounded degree graph homomorphisms with nonnegative weights"):
  with members:
    - "algorithmic pirogov sinai theory"
    - "correlation decay up to uniqueness in spin systems"
    - "computational transition at the uniqueness threshold"
    - "a decidable dichotomy theorem on directed graph homomorphisms with non negative weights"
    - "the complexity of partition functions on hermitian matrices"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "a complexity dichotomy for partition functions with mixed signs"

Connected through hyperedge HE-2 (induced by source paper "perfect matchings rank of connection tensors and graph homomorphisms"):
  with members:
    - "holographic algorithm with matchgates is universal for planar csp over boolean domain"
    - "a holant dichotomy is the fkt algorithm universal"
    - "a complete dichotomy rises from the capture of vanishing signatures"
    - "complexity of counting csp with complex weights"
    - "an effective dichotomy for the counting constraint satisfaction problem"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "a complexity dichotomy for partition functions with mixed signs"

Connected through hyperedge HE-3 (induced by source paper "on a theorem of lovasz that hom cdot h determines the isomorhphism type of h"):
  with members:
    - "perfect matchings rank of connection tensors and graph homomorphisms"
    - "a decidable dichotomy theorem on directed graph homomorphisms with non negative weights"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "a complexity dichotomy for partition functions with mixed signs"

Connected through hyperedge HE-4 (induced by source paper "dichotomy theorems for homomorphism polynomials of graph classes"):
  with members:
    - "a dichotomy theorem for homomorphism polynomials"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "a complexity dichotomy for partition functions with mixed signs"

Connected through hyperedge HE-5 (induced by source paper "a decidable dichotomy theorem on directed graph homomorphisms with non negative weights"):
  with members:
    - "the complexity of counting edge colorings and a dichotomy for some higher domain holant problems"
    - "the complexity of weighted and unweighted csp"
    - "complexity of counting csp with complex weights"
    - "an effective dichotomy for the counting constraint satisfaction problem"
    - "the complexity of partition functions on hermitian matrices"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "a complexity dichotomy for partition functions with mixed signs"

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.CC(Computational Complexity)