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: "from holant to csp and back dichotomy for holant c problems"
  Abstract: We explore the intricate interdependent relationship among counting problems, considered from three frameworks for such problems: Holant Problems, counting CSP and weighted H-colorings. We consider these problems for general complex valued functions that take boolean inputs. We show that results from one framework can be used to derive results in another, and this happens in both directions. Holographic reductions discover an underlying unity, which is only revealed when these counting problems are investigated in the complex domain $\mathbb{C}$. We prove three complexity dichotomy theorems, leading to a general theorem for Holant$^c$ problems. This is the natural class of Holant problems where one can assign constants 0 or 1. More specifically, given any signature grid on $G=(V,E)$ over a set ${\mathscr F}$ of symmetric functions, we completely classify the complexity to be in P or #P-hard, according to ${\mathscr F}$, of \[\sum_{\sigma: E \rightarrow \{0,1\}} \prod_{v\in V} f_v(\sigma\mid_{E(v)}),\] where $f_v \in {\mathscr F} \cup \{{\bf 0}, {\bf 1}\}$ ({\bf 0}, {\bf 1} are the unary constant 0, 1 functions). Not only is holographic reduction the main tool, but also the final dichotomy can be only naturally stated in the language of holographic transformations. The proof goes through another dichotomy theorem on boolean complex weighted #CSP.

Connected through hyperedge HE-1 (induced by source paper "holant clones and the approximability of conservative holant problems"):
  with members:
    - "boolean approximate counting csps with weak conservativity and implications for ferromagnetic two spin"
    - "inapproximability of the independent set polynomial in the complex plane"
    - "functional clones and expressibility of partition functions"
    - "the complexity of holant problems over boolean domain with non negative weights"
    - "the complexity of approximating conservative counting csps"
    - "the complexity of conservative valued csps"
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "complexity of counting csp with complex weights"

Connected through hyperedge HE-2 (induced by source paper "boolean approximate counting csps with weak conservativity and implications for ferromagnetic two spin"):
  with members:
    - "functional clones and expressibility of partition functions"
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "the complexity of approximating conservative counting csps"
    - "the complexity of ferromagnetic two spin systems with external fields"
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "approximating the tutte polynomial of a binary matroid and other related combinatorial polynomials"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "correlation decay up to uniqueness in spin systems"

Connected through hyperedge HE-3 (induced by source paper "the complexity of counting edge colorings and a dichotomy for some higher domain holant problems"):
  with members:
    - "the complexity of planar boolean csp with complex weights"
    - "dichotomy for holant problems with a function on domain size 3"
    - "complexity of counting csp with complex weights"
    - "gadgets and anti gadgets leading to a complexity dichotomy"
    - "on tractable exponential sums"
    - "holant problems for regular graphs with complex edge functions"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "the complexity of weighted boolean csp"

Connected through hyperedge HE-4 (induced by source paper "holographic algorithms beyond matchgates"):
  with members:
    - "the complexity of planar boolean csp with complex weights"
    - "a complete dichotomy rises from the capture of vanishing signatures"
    - "dichotomy for holant problems with a function on domain size 3"
    - "complexity of counting csp with complex weights"
    - "gadgets and anti gadgets leading to a complexity dichotomy"
    - "an effective dichotomy for the counting constraint satisfaction problem"
    - "holographic algorithms with matchgates capture precisely tractable planar csp"
    - "a decidable dichotomy theorem on directed graph homomorphisms with non negative weights"

Connected through hyperedge HE-5 (induced by source paper "dichotomy for holant problems with a function on domain size 3"):
  with members:
    - "approximating the partition function of the ferromagnetic potts model"
    - "normal factor graphs a diagrammatic approach to linear algebra"
    - "complexity of counting csp with complex weights"
    - "partition functions of normal factor graphs"
    - "normal factor graphs and holographic transformations"
    - "non negative weighted csps an effective complexity dichotomy"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "the complexity of weighted boolean csp"

Connected through hyperedge HE-6 (induced by source paper "a complete dichotomy rises from the capture of vanishing signatures"):
  with members:
    - "holographic algorithms beyond matchgates"
    - "complexity of counting csp with complex weights"
    - "holant problems for regular graphs with complex edge functions"
    - "a decidable dichotomy theorem on directed graph homomorphisms with non negative weights"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "the complexity of weighted boolean csp"
    - "a complexity dichotomy for partition functions with mixed signs"

Connected through hyperedge HE-7 (induced by source paper "gadgets and anti gadgets leading to a complexity dichotomy"):
  with members:
    - "dichotomy for real holant c problems"
    - "a complete dichotomy rises from the capture of vanishing signatures"
    - "an effective dichotomy for the counting constraint satisfaction problem"
    - "holographic algorithms with matchgates capture precisely tractable planar csp"
    - "non negative weighted csps an effective complexity dichotomy"
    - "holant problems for regular graphs with complex edge functions"
    - "a decidable dichotomy theorem on directed graph homomorphisms with non negative weights"
    - "graph homomorphisms with complex values a dichotomy theorem"

Connected through hyperedge HE-8 (induced by source paper "non negative weighted csps an effective complexity dichotomy"):
  with members:
    - "the complexity of weighted and unweighted csp"
    - "an effective dichotomy for the counting constraint satisfaction problem"
    - "a decidable dichotomy theorem on directed graph homomorphisms with non negative weights"
    - "the complexity of partition functions on hermitian matrices"
    - "approximation resistant predicates from pairwise independence"
    - "a complexity dichotomy for partition functions with mixed signs"
    - "conditional hardness for approximate coloring"

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)