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 "problem solving at the edge of chaos entropy puzzles and the sudoku freezing transition"):
  Abstract: Sudoku is a widely popular $\mathcal{NP}$-Complete combinatorial puzzle whose prospects for studying human computation have recently received attention, but the algorithmic hardness of Sudoku solving is yet largely unexplored. In this paper, we study the statistical mechanical properties of random Sudoku grids, showing that puzzles of varying sizes attain a hardness peak associated with a critical behavior in the constrainedness of random instances. In doing so, we provide the first description of a Sudoku \emph{freezing} transition, showing that the fraction of backbone variables undergoes a phase transition as the density of pre-filled cells is calibrated. We also uncover a variety of critical phenomena in the applicability of Sudoku elimination strategies, providing explanations as to why puzzles become boring outside the typical range of clue densities adopted by Sudoku publishers. We further show that the constrainedness of Sudoku puzzles can be understood in terms of the informational (Shannon) entropy of their solutions, which only increases up to the critical point where variables become frozen. Our findings shed light on the nature of the $k$-coloring transition when the graph topology is fixed, and are an invitation to the study of phase transition phenomena in problems defined over \emph{alldifferent} constraints. They also suggest advantages to studying the statistical mechanics of popular $\mathcal{NP}$-Hard puzzles, which can both aid the design of hard instances and help understand the difficulty of human problem solving.

Includes members:
  Member "combining the k cnf and xor phase transitions":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "quantitative verification of neural networks and its security applications")
  Member "computational red teaming in a sudoku solving context neural network based skill representation and acquisition":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on educating machines")
  Member "the backtracking survey propagation algorithm for solving random k sat problems":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "the sdp value for random two eigenvalue csps")
  Member "the condensation phase transition in random graph coloring":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "information theoretic thresholds from the cavity method")
  Member "difficulty rating of sudoku puzzles an overview and evaluation":
    also connected through other hyperedges:
      (none)
  Member "aspects of statistical physics in computational complexity":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "combining the k cnf and xor phase transitions")
  Member "on the role of working memory in trading off skills and situation awareness in sudoku":
    also connected through other hyperedges:
      (none)
  Member "there is no 16 clue sudoku solving the sudoku minimum number of clues problem":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on a generalization of eight blocks to madness")

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)