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: "rounding algorithms for a geometric embedding of minimum multiway cut"
  Abstract: Given an undirected graph with edge costs and a subset ofk=3 nodes calledterminals, a multiway, ork-way, cut is a subset of the edges whose removal disconnects each terminal from the others. The multiway cut problem is to find a minimum-cost multiway cut. This problem is Max-SNP hard. Recently, Calinescu et al. (Calinescu, G., H. Karloff, Y. Rabani. 2000. An improved approximation algorithm for Multiway Cut.J. Comput. System Sci.60(3) 564--574) gave a novel geometric relaxation of the problem and a rounding scheme that produced a (3/2-1/ k)-approximation algorithm.In this paper, we study their geometric relaxation. In particular, we study the worst-case ratio between the value of the relaxation and the value of the minimum multicut (the so-called integrality gap of the relaxation). Fork=3, we show the integrality gap is 12/11, giving tight upper and lower bounds. That is, we exhibit a family of graphs with integrality gaps arbitrarily close to 12/11 and give an algorithm that finds a cut of value 12/11 times the relaxation value. Our lower bound shows that this is the best possible performance guarantee for any algorithm based purely on the value of the relaxation. Our upper bound meets the lower bound and improves the factor of 7/6 shown by Calinescu et al.For allk, we show that there exists a rounding scheme with performance ratio equal to the integrality gap, and we give explicit constructions of polynomial-time rounding schemes that lead to improved upper bounds. Fork=4 and 5, our best upper bounds are based on computer-constructed rounding schemes (with computer proofs of correctness). For generalk we give an algorithm with performance ratio 1.3438-e k .Our results were discovered with the help of computational experiments that we also describe here.

Connected through hyperedge HE-1 (induced by source paper "hypergraph cuts with general splitting functions"):
  with members:
    - "nonlinearity networks a 2020 vision"
    - "three hypergraph eigenvector centralities"
    - "simplicial closure and higher order link prediction"
    - "network flow based refinement for multilevel hypergraph partitioning"
    - "hypergraph partitioning for sparse matrix matrix multiplication"
    - "higher order organization of complex networks"
    - "a simple and strongly local flow based method for cut improvement"
    - "simple and fast rounding algorithms for directed and node weighted multiway cut"

Connected through hyperedge HE-2 (induced by source paper "solving k 1 stable instances of k terminal cut with isolating cuts"):
  with members:
    - "bilu linial stable instances of max cut and minimum multiway cut"
    - "multiway cut pairwise realizable distributions and descending thresholds"
    - "are stable instances easy"

Connected through hyperedge HE-3 (induced by source paper "multi budgeted directed cuts"):
  with members:
    - "parameterized complexity and approximability of directed odd cycle transversal"
    - "linear time kernelization for feedback vertex set"
    - "a linear time parameterized algorithm for directed feedback vertex set"
    - "directed multicut is w 1 hard even for four terminal pairs"
    - "half integrality lp branching and fpt algorithms"
    - "list h coloring a graph by removing few vertices"
    - "designing fpt algorithms for cut problems using randomized contractions"
    - "directed subset feedback vertex set is fixed parameter tractable"

Connected through hyperedge HE-4 (induced by source paper "improving the integrality gap for multiway cut"):
  with members:
    - "an improved integrality gap for the calinescu karloff rabani relaxation for multiway cut"
    - "multiway cut pairwise realizable distributions and descending thresholds"

Connected through hyperedge HE-5 (induced by source paper "a polynomial time algorithm for 2 2 k stable instances of the k terminal cut problem"):
  with members:
    - "bilu linial stable instances of max cut and minimum multiway cut"
    - "are stable instances easy"

Connected through hyperedge HE-6 (induced by source paper "global and fixed terminal cuts in digraphs"):
  with members:
    - "approximating multicut and the demand graph"
    - "an improved integrality gap for the calinescu karloff rabani relaxation for multiway cut"
    - "improved hardness for cut interdiction and firefighter problems"
    - "simple and fast rounding algorithms for directed and node weighted multiway cut"
    - "directed multicut with linearly ordered terminals"
    - "multiway cut pairwise realizable distributions and descending thresholds"

Connected through hyperedge HE-7 (induced by source paper "fixed parameter algorithms for dag partitioning"):
  with members:
    - "towards optimal and expressive kernelization for d hitting set"
    - "kernelization lower bounds by cross composition"

Connected through hyperedge HE-8 (induced by source paper "an improved integrality gap for the calinescu karloff rabani relaxation for multiway cut"):
  with members:
    - "multiway cut pairwise realizable distributions and descending thresholds"

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.DS(Data Structures and Algorithms)