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 "deterministic polynomial factoring under the assumption of the extended riemann hypothesis erh"):
  Abstract: We consider the problem of deterministically factoring a univariate polynomial over a finite field under the assumption of the Extended Riemann Hypothesis (ERH). This work builds upon the line of approach first explored by Gao in $2001$. The general approach has been to implicitly construct a graph with the roots as vertices and the edges formed by some polynomial time computable relation. The algorithm then fails to factor a polynomial if this associated graph turns out to be \emph{regular}. In the first part of our work we strengthen the edge relation so that the resulting set of graphs we obtain are subgraphs of Gao's graphs, all of which must be \emph{regular}. #R##N#In the second part of our work we strengthen the regularity condition of these graphs. This is accomplished by finding a parallel between their algorithms and the $1$-dimensional Weisfeiler-Leman algorithm for solving the Graph Isomorphism problem. We observe that the general principle behind their algorithms is to separate the roots by computing the $1$-dimensional Weisfeiler-Leman approximation to the orbits of this graph. This leads us to the natural question of whether this approximation may be improved. We then go on to show how to implicitly compute the $2$-dimensional Weisfeiler-Leman approximation of the orbits of these graphs. The polynomials that our algorithm fails to factor form graphs that are \emph{strongly regular} and their set of adjacency matrices forms a combinatorial structure called an \emph{Association scheme}.

Includes members:
  Member "deterministic polynomial factoring and association schemes":
    also connected through other hyperedges:
      (none)
  Member "factoring polynomials over finite fields using balance test":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "deterministic polynomial factoring and association schemes")
  Member "schemes for deterministic polynomial factoring":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "deterministic polynomial factoring and association schemes")

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.DM(Discrete Mathematics)