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 "designing fpt algorithms for cut problems using randomized contractions"):
  Abstract: We introduce a new technique for designing fixed-parameter algorithms for cut problems, namely randomized contractions. We apply our framework to obtain the first FPT algorithm for the Unique Label Cover problem and new FPT algorithms with exponential speed up for the Steiner Cut and Node Multiway Cut-Uncut problems. More precisely, we show the following: #R##N#- We prove that the parameterized version of the Unique Label Cover problem, which is the base of the Unique Games Conjecture, can be solved in 2^{O(k^2\log |\Sigma|)}n^4\log n deterministic time (even in the stronger, vertex-deletion variant) where k is the number of unsatisfied edges and |\Sigma| is the size of the alphabet. As a consequence, we show that one can in polynomial time solve instances of Unique Games where the number of edges allowed not to be satisfied is upper bounded by O(\sqrt{\log n}) to optimality, which improves over the trivial O(1) upper bound. #R##N#- We prove that the Steiner Cut problem can be solved in 2^{O(k^2\log k)}n^4\log n deterministic time and \tilde{O}(2^{O(k^2\log k)}n^2) randomized time where k is the size of the cutset. This result improves the double exponential running time of the recent work of Kawarabayashi and Thorup (FOCS'11). #R##N#- We show how to combine considering `cut' and `uncut' constraints at the same time. More precisely, we define a robust problem Node Multiway Cut-Uncut that can serve as an abstraction of introducing uncut constraints, and show that it admits an algorithm running in 2^{O(k^2\log k)}n^4\log n deterministic time where k is the size of the cutset. To the best of our knowledge, the only known way of tackling uncut constraints was via the approach of Marx, O'Sullivan and Razgon (STACS'10), which yields algorithms with double exponential running time. #R##N#An interesting aspect of our technique is that, unlike important separators, it can handle real weights.

Includes members:
  Member "clustering with local restrictions":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "randomized contractions meet lean decompositions")
  Member "half integrality lp branching and fpt algorithms":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "parameterized algorithms for milps with small treedepth")
  Member "faster parameterized algorithms using linear programming":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "structural parameterizations with modulator oblivion")
  Member "fixed parameter tractability of multicut in directed acyclic graphs":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a relaxation of the directed disjoint paths problem a global congestion metric helps")
  Member "on group feedback vertex set parameterized by the size of the cutset":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "an improved fpt algorithm for independent feedback vertex set")
  Member "minimum k way cut of bounded size is fixed parameter tractable":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "the number of minimum k cuts improving the karger stein bound")
  Member "finding small separators in linear time via treewidth reduction":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "fixed parameter tractability of counting small minimum s t cuts")
  Member "large isolating cuts shrink the multiway cut":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "a deterministic polynomial kernel for odd cycle transversal and vertex multiway cut in planar graphs")

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)