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: "minimum k way cut of bounded size is fixed parameter tractable"
  Abstract: We consider a the minimum k-way cut problem for unweighted graphs with a size bound s on the number of cut edges allowed. Thus we seek to remove as few edges as possible so as to split a graph into k components, or report that this requires cutting more than s edges. We show that this problem is fixed-parameter tractable (FPT) in s. More precisely, for s=O(1), our algorithm runs in quadratic time while we have a different linear time algorithm for planar graphs and bounded genus graphs. Our tractability result stands in contrast to known W[1] hardness of related problems. Without the size bound, Downey et al.[2003] proved that the minimum k-way cut problem is W[1] hard in k even for simple unweighted graphs. Downey et al. asked about the status for planar graphs. Our result implies tractability in k for the planar graphs since the minimum k-way cut of a planar graph is of size at most 6k (more generally, we get tractability in k for any graph class with k-way cuts of size limited by is a function of k, e.g., bounded degree graphs, or simple graphs with an excluded minor). A simple reduction shows that vertex cuts are at least as hard as edge cuts, so the minimum k-way vertex cut is also W[1] hard in terms of k. Marx [2004] proved that finding a minimum k-way vertex cut of size s is also W[1] hard in s. Marx asked about the FPT status with edge cuts, which we prove tractable here. We are not aware of any other cut problem where the vertex version is W[1] hard but the edge version is FPT.

Connected through hyperedge HE-1 (induced by source paper "the number of minimum k cuts improving the karger stein bound"):
  with members:
    - "lp relaxation and tree packing for minimum k cuts"
    - "fast and deterministic approximations for k cut"
    - "faster exact and approximate algorithms for k cut"
    - "an fpt algorithm beating 2 approximation for k cut"
    - "if the current clique algorithms are optimal so is valiant s parser"
    - "powers of tensors and fast matrix multiplication"
    - "designing fpt algorithms for cut problems using randomized contractions"
    - "tight approximation ratio of a general greedy splitting algorithm for the minimum k way cut problem"

Connected through hyperedge HE-2 (induced by source paper "linear kernels for separating a graph into components of bounded size"):
  with members:
    - "on a generalization of nemhauser and trotter s local optimization theorem"
    - "deleting edges to restrict the size of an epidemic a new application for treewidth"
    - "on the computational complexity of vertex integrity and component order connectivity"
    - "minimum bisection is fixed parameter tractable"
    - "finding small separators in linear time via treewidth reduction"
    - "hitting forbidden minors approximation and kernelization"
    - "multicut is fpt"
    - "fixed parameter tractability of multicut parameterized by the size of the cutset"

Connected through hyperedge HE-3 (induced by source paper "spanning circuits in regular matroids"):
  with members:
    - "a birthday repetition theorem and complexity of approximating dense csps"
    - "polynomial bounds for the grid minor theorem"
    - "designing fpt algorithms for cut problems using randomized contractions"
    - "faster parameterized algorithms using linear programming"
    - "matroid secretary for regular and decomposable matroids"

Connected through hyperedge HE-4 (induced by source paper "parameterized algorithms for min max multiway cut and list digraph homomorphism"):
  with members:
    - "an fpt 2 approximation for tree cut decomposition"
    - "space complexity of list h colouring a dichotomy"
    - "list h coloring a graph by removing few vertices"
    - "minimum bisection is fixed parameter tractable"
    - "designing fpt algorithms for cut problems using randomized contractions"
    - "finding small separators in linear time via treewidth reduction"
    - "fixed parameter tractability of directed multiway cut parameterized by the size of the cutset"
    - "on multiway cut parameterized above lower bounds"

Connected through hyperedge HE-5 (induced by source paper "a parameterized algorithm for mixed cut"):
  with members:
    - "chordal editing is fixed parameter tractable"
    - "designing fpt algorithms for cut problems using randomized contractions"
    - "fixed parameter tractability of multicut in directed acyclic graphs"
    - "reducing the rank of a matroid"
    - "finding small separators in linear time via treewidth reduction"
    - "fixed parameter tractability of directed multiway cut parameterized by the size of the cutset"
    - "multicut is fpt"
    - "fixed parameter tractability of multicut parameterized by the size of the cutset"

Connected through hyperedge HE-6 (induced by source paper "on the complexity of computing the k restricted edge connectivity of a graph"):
  with members:
    - "parameterized algorithms for min max multiway cut and list digraph homomorphism"
    - "a parameterized algorithm for mixed cut"
    - "everything you always wanted to know about the parameterized complexity of subgraph isomorphism but were afraid to ask"
    - "minimum bisection is fixed parameter tractable"
    - "kernelization lower bounds by cross composition"
    - "designing fpt algorithms for cut problems using randomized contractions"

Connected through hyperedge HE-7 (induced by source paper "parameterized complexity dichotomy for steiner multicut"):
  with members:
    - "an o 1 84 k parameterized algorithm for the multiterminal cut problem"
    - "designing fpt algorithms for cut problems using randomized contractions"
    - "fixed parameter tractability of multicut in directed acyclic graphs"
    - "representative sets and irrelevant vertices new tools for kernelization"
    - "finding small separators in linear time via treewidth reduction"
    - "clique cover and graph separation new incompressibility results"
    - "on multiway cut parameterized above lower bounds"
    - "multicut is fpt"

Connected through hyperedge HE-8 (induced by source paper "an o 1 84 k parameterized algorithm for the multiterminal cut problem"):
  with members:
    - "on the usefulness of predicates"
    - "approximation algorithms for submodular multiway partition"
    - "on multiway cut parameterized above lower bounds"
    - "multicut is fpt"
    - "fixed parameter tractability of multicut parameterized by the size of the cutset"

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.DM(Discrete Mathematics)