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 "a polynomial time algorithm for 2 2 k stable instances of the k terminal cut problem"):
  Abstract: The $k$-terminal cut problem is defined on an edge-weighted graph with $k$ distinct vertices called `terminals.' The goal is to remove a minimum weight collection of edges from the graph such that there is no path between any pair of terminals. The $k$-terminal cut problem is known to be NP-hard. There has been interest in determining special classes of graphs for which $k$-terminal cut can be solved in polynomial time. #R##N#One special class of graphs is the class of $\gamma$-stable graphs, a notion introduced by Bilu and Linial. An instance of $k$-terminal cut is said to be $\gamma$-stable if edges in the cut can be multiplied by up to $\gamma$ without changing the unique optimal solution. For several years, the best-known result for $\gamma$-stable instances of $k$-terminal cut stated that the problem can be solved in polynomial time for $\gamma \geq 4$ by solving a certain linear program. This result was recently improved to $\gamma \geq 2 - 2/k$ using the same linear program. In this paper, we match the result with a completely different approach, showing that $\gamma$-stable instances of $k$-terminal cut can be solved in polynomial time for $\gamma \geq 2 - 2/k$, with a faster algorithm. The result is surprising: we show that a known $(2 - 2/k)$-approximation algorithm for the problem actually delivers the unique optimal solution for $(2 - 2/k)$-stable graphs. For all graphs, including those which are not $(2-2/k)$-stable, there is an easy-to-check certificate to determine if the output of the algorithm is optimal. The algorithm utilizes only minimum cut procedures, obviating the use of linear programming.

Includes members:
  Member "bilu linial stable instances of max cut and minimum multiway cut":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "solving k 1 stable instances of k terminal cut with isolating cuts")
  Member "are stable instances easy":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on the unreasonable effectiveness of the greedy algorithm greedy adapts to sharpness")
  Member "rounding algorithms for a geometric embedding of minimum multiway cut":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "hypergraph cuts with general splitting functions")

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.DS(Data Structures and Algorithms)