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: "factorization of mathbb z homogeneous polynomials in the first q weyl algebra"
  Abstract: Factorization of elements of noncommutative rings is an important problem both in theory and applications. For the class of domains admitting nontrivial grading, we have recently proposed an approach, which utilizes the grading in order to factor general elements. This is heavily based on the factorization of graded elements. In this paper, we present algorithms to factorize weighted homogeneous (graded) elements in the polynomial first q-Weyl and Weyl algebras, which are both viewed as \({ \mathbb {Z}}\)-graded rings. We show that graded polynomials have finite number of factorizations. Moreover, the factorization of such can be almost completely reduced to commutative univariate factorization over the same base field with some additional uncomplicated combinatorial steps. This allows to deduce the complexity of our algorithms in detail, which we prove to be polynomial-time. Furthermore, we show, that for a graded polynomial p, irreducibility of p in the polynomial first Weyl algebra implies its irreducibility in the localized (rational) Weyl algebra, which is not true for general polynomials. We report on our implementation in the computer algebra system Singular. For graded polynomials, it outperforms currently available implementations for factoring in the first Weyl algebra—in speed as well as in elegancy of the results.

Connected through hyperedge HE-1 (induced by source paper "factoring differential operators in n variables"):
  with members:
    - "symbolicdata sdeval benchmarking for everyone"

Connected through hyperedge HE-2 (induced by source paper "a diffie hellman like key exchange protocol based on multivariate ore polynomials"):
  with members:
    - "factoring differential operators in n variables"

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.SC(Symbolic Computation)