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: "parameterizing the permanent genus apices minors evaluation mod 2 k"
  Abstract: We identify and study relevant structural parameters for the problem PerfMatch of counting perfect matchings in a given input graph $G$. These generalize the well-known tractable planar case, and they include the genus of $G$, its apex number (the minimum number of vertices whose removal renders $G$ planar), and its Hadwiger number (the size of a largest clique minor). #R##N#To study these parameters, we first introduce the notion of combined matchgates, a general technique that bridges parameterized counting problems and the theory of so-called Holants and matchgates: Using combined matchgates, we can simulate certain non-existing gadgets $F$ as linear combinations of $t=O(1)$ existing gadgets. If a graph $G$ features $k$ occurrences of $F$, we can then reduce $G$ to $t^k$ graphs that feature only existing gadgets, thus enabling parameterized reductions. #R##N#As applications of this technique, we simplify known $4^g n^{O(1)}$ time algorithms for PerfMatch on graphs of genus $g$. Orthogonally to this, we show #W[1]-hardness of the permanent on $k$-apex graphs, implying its #W[1]-hardness under the Hadwiger number. Additionally, we rule out $n^{o(k/\log k)}$ time algorithms under the counting exponential-time hypothesis #ETH. #R##N#Finally, we use combined matchgates to prove parity-W[1]-hardness of evaluating the permanent modulo $2^k$, complementing an $O(n^{4k-3})$ time algorithm by Valiant and answering an open question of Bj\"orklund. We also obtain a lower bound of $n^{\Omega(k/\log k)}$ under the parity version of the exponential-time hypothesis.

Connected through hyperedge HE-1 (induced by source paper "tight bounds for planar strongly connected steiner subgraph with fixed number of terminals and extensions"):
  with members:
    - "fpt inapproximability of directed cut and connectivity problems"
    - "complexity of the steiner network problem with respect to the number of terminals"
    - "the parameterized complexity of finding point sets with hereditary properties"
    - "homomorphisms are a good basis for counting small subgraphs"
    - "parameterized approximation algorithms for directed steiner network problems"
    - "the graph motif problem parameterized by the structure of the input graph"
    - "on subexponential parameterized algorithms for steiner tree and directed subset tsp on planar graphs"
    - "on the parameterized complexity of red blue points separation"

Connected through hyperedge HE-2 (induced by source paper "counting edge injective homomorphisms and matchings on restricted graph classes"):
  with members:
    - "homomorphisms are a good basis for counting small subgraphs"
    - "holographic algorithm with matchgates is universal for planar csp over boolean domain"
    - "exponential time complexity of the permanent and the tutte polynomial"
    - "complexity of counting subgraphs only the boundedness of the vertex cover number counts"
    - "the parameterized complexity of k biclique"
    - "the challenges of unbounded treewidth in parameterised subgraph counting problems"
    - "holographic algorithms with matchgates capture precisely tractable planar csp"

Connected through hyperedge HE-3 (induced by source paper "a tight lower bound for counting hamiltonian cycles via matrix rank"):
  with members:
    - "probabilistic rank and matrix rigidity"
    - "the parity of directed hamiltonian cycles"
    - "fast hamiltonicity checking via bases of perfect matchings"
    - "determinant sums for undirected hamiltonicity"

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)