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: "on the state complexity of the shuffle of regular languages"
  Abstract: We investigate the shuffle operation on regular languages represented by complete deterministic finite automata. We prove that \(f(m,n)=2^{mn-1} + 2^{(m-1)(n-1)}(2^{m-1}-1)(2^{n-1}-1)\) is an upper bound on the state complexity of the shuffle of two regular languages having state complexities m and n, respectively. We also state partial results about the tightness of this bound. We show that there exist witness languages meeting the bound if \(2\leqslant m\leqslant 5\) and \(n\geqslant 2\), and also if \(m=n=6\). Moreover, we prove that in the subset automaton of the NFA accepting the shuffle, all \(2^{mn}\) states can be distinguishable, and an alphabet of size three suffices for that. It follows that the bound can be met if all f(m, n) states are reachable. We know that an alphabet of size at least mn is required provided that \(m,n \geqslant 2\). The question of reachability, and hence also of the tightness of the bound f(m, n) in general, remains open.

Connected through hyperedge HE-1 (induced by source paper "algebraic and combinatorial tools for state complexity application to the star xor problem"):
  with members:
    - "a general approach to state complexity of operations formalization and limitations"
    - "state complexity of catenation combined with a boolean operation a unified approach"
    - "a survey on operational state complexity"

Connected through hyperedge HE-2 (induced by source paper "a combinatorial approach for the state complexity of the shuffle product"):
  with members:
    - "a general approach to state complexity of operations formalization and limitations"

Connected through hyperedge HE-3 (induced by source paper "a general approach to state complexity of operations formalization and limitations"):
  with members:
    - "the state complexity of star complement star"

Connected through hyperedge HE-4 (induced by source paper "most complex non returning regular languages"):
  with members:
    - "a new technique for reachability of states in concatenation automata"
    - "unrestricted state complexity of binary operations on regular languages"
    - "unrestricted state complexity of binary operations on regular and ideal languages"
    - "quotient complexities of atoms in regular ideal languages"
    - "complexity of suffix free regular languages"
    - "syntactic complexity of regular ideals"
    - "complexity of atoms combinatorially"
    - "symmetric groups and quotient complexity of boolean operations"

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.FL(Formal Languages and Automata Theory)