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: "threshold values of random k sat from the cavity method"
  Abstract: Using the cavity equations of \cite{mezard:parisi:zecchina:02,mezard:zecchina:02}, we derive the various threshold values for the number of clauses per variable of the random $K$-satisfiability problem, generalizing the previous results to $K \ge 4$. We also give an analytic solution of the equations, and some closed expressions for these thresholds, in an expansion around large $K$. The stability of the solution is also computed. For any $K$, the satisfiability threshold is found to be in the stable region of the solution, which adds further credit to the conjecture that this computation gives the exact satisfiability threshold.

Connected through hyperedge HE-1 (induced by source paper "hierarchical decomposition mechanism by konig egervary layer subgraph with application on vertex cover"):
  with members:
    - "core influence mechanism on vertex cover problem through leaf removal core breaking"
    - "modeling polypharmacy side effects with graph convolutional networks"
    - "higher order organization of complex networks"
    - "finding perfect matchings in bipartite hypergraphs"
    - "research on solution space of bipartite graph vertex cover by maximum matchings"
    - "evolution of the internet k dense structure"

Connected through hyperedge HE-2 (induced by source paper "the hard problems are almost everywhere for random cnf xor formulas"):
  with members:
    - "constrained sampling and counting universal hashing meets sat solving"
    - "distribution aware sampling and weighted model counting for sat"
    - "a scalable and nearly uniform generator of sat witnesses"

Connected through hyperedge HE-3 (induced by source paper "the backtracking survey propagation algorithm for solving random k sat problems"):
  with members:
    - "on the solution space geometry of random constraint satisfaction problems"
    - "a new look at survey propagation and its generalizations"
    - "some remarks on the survey decimation algorithm for k satisfiability"
    - "typical random 3 sat formulae and the satisfiability threshold"
    - "on local equilibrium equations for clustering states"
    - "survey propagation an algorithm for satisfiability"

Connected through hyperedge HE-4 (induced by source paper "research on solution space of bipartite graph vertex cover by maximum matchings"):
  with members:
    - "organization mechanism and counting algorithm on vertex cover solutions"

Connected through hyperedge HE-5 (induced by source paper "threshold saturation in spatially coupled constraint satisfaction problems"):
  with members:
    - "a simple proof of threshold saturation for coupled scalar recursions"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"
    - "lossy source coding via spatially coupled ldgm ensembles"
    - "chains of mean field models"
    - "wave like solutions of general one dimensional spatially coupled systems"
    - "information theoretically optimal compressed sensing via spatial coupling and approximate message passing"
    - "threshold saturation via spatial coupling why convolutional ldpc ensembles perform so well over the bec"
    - "coupled graphical models and their thresholds"

Connected through hyperedge HE-6 (induced by source paper "decentralized constraint satisfaction"):
  with members:
    - "decentralised learning macs for collision free access in wlans"
    - "towards a collision free wlan dynamic parameter adjustment in csma e2ca"
    - "circumspect descent prevails in solving random constraint satisfaction problems"
    - "survey propagation an algorithm for satisfiability"

Connected through hyperedge HE-7 (induced by source paper "bose einstein condensation in satisfiability problems"):
  with members:
    - "circumspect descent prevails in solving random constraint satisfaction problems"
    - "the good old davis putnam procedure helps counting models"

Connected through hyperedge HE-8 (induced by source paper "catching the k naesat threshold"):
  with members:
    - "a simple algorithm for random colouring g n d n using 2 epsilon d colours"
    - "reconstruction and clustering in random constraint satisfaction problems"
    - "random subcubes as a toy model for constraint satisfaction problems"
    - "on the solution space geometry of random constraint satisfaction problems"

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)