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 "random sampling in computational algebra helly numbers and violator spaces"):
  Abstract: This paper transfers a randomized algorithm, originally used in geometric optimization, to computational problems in commutative algebra. We show that Clarkson's sampling algorithm can be applied to two problems in computational algebra: solving large-scale polynomial systems and finding small generating sets of graded ideals. The cornerstone of our work is showing that the theory of violator spaces of G\"artner et al.\ applies to polynomial ideal problems. To show this, one utilizes a Helly-type result for algebraic varieties. The resulting algorithms have expected runtime linear in the number of input polynomials, making the ideas interesting for handling systems with very large numbers of polynomials, but whose rank in the vector space of polynomials is small (e.g., when the number of variables and degree is constant).

Includes members:
  Member "exploiting chordal structure in polynomial ideals a grobner bases approach":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "gr o bner basis over semigroup algebras algorithms and applications for sparse polynomial systems")
  Member "sparse grobner bases the unmixed case":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "gr o bner basis over semigroup algebras algorithms and applications for sparse polynomial systems")
  Member "gr obner bases and nullstellens atze for graph coloring ideals":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "exploiting chordal structure in polynomial ideals a grobner bases approach")
  Member "polynomial systems solving by fast linear algebra":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "gr o bner basis over semigroup algebras algorithms and applications for sparse polynomial systems")
  Member "clarksons algorithm for violator spaces":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "property testing of lp type problems")
  Member "violator spaces structure and algorithms":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "fast distributed algorithms for lp type problems of bounded dimension")

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)