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 "almost tight lower bounds for hard cutting problems in embedded graphs"):
  Abstract: We prove essentially tight lower bounds, conditionally to the Exponential Time Hypothesis, for two fundamental but seemingly very different cutting problems on surface-embedded graphs: the Shortest Cut Graph problem and the Multiway Cut problem. #R##N#A cut graph of a graph $G$ embedded on a surface $S$ is a subgraph of $G$ whose removal from $S$ leaves a disk. We consider the problem of deciding whether an unweighted graph embedded on a surface of genus $g$ has a cut graph of length at most a given value. We prove a time lower bound for this problem of $n^{\Omega(g/\log g)}$ conditionally to ETH. In other words, the first $n^{O(g)}$-time algorithm by Erickson and Har-Peled [SoCG 2002, Discr.\ Comput.\ Geom.\ 2004] is essentially optimal. We also prove that the problem is W[1]-hard when parameterized by the genus, answering a 17-year old question of these authors. #R##N#A multiway cut of an undirected graph $G$ with $t$ distinguished vertices, called terminals, is a set of edges whose removal disconnects all pairs of terminals. We consider the problem of deciding whether an unweighted graph $G$ has a multiway cut of weight at most a given value. We prove a time lower bound for this problem of $n^{\Omega(\sqrt{gt + g^2}/\log(gt))}$, conditionally to ETH, for any choice of the genus $g\ge0$ of the graph and the number of terminals $t\ge4$. In other words, the algorithm by the second author [Algorithmica 2017] (for the more general multicut problem) is essentially optimal; this extends the lower bound by the third author [ICALP 2012] (for the planar case). #R##N#Reductions to planar problems usually involve a grid-like structure. The main novel idea for our results is to understand what structures instead of grids are needed if we want to exploit optimally a certain value $g$ of the genus.

Includes members:
  Member "a framework for eth tight algorithms and lower bounds in geometric intersection graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a quasi polynomial algorithm for well spaced hyperbolic tsp")
  Member "computational topology of graphs on surfaces":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a strongly polynomial algorithm for finding a shortest non zero path in group labeled graphs")
  Member "on subexponential parameterized algorithms for steiner tree and directed subset tsp on planar graphs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "tight bounds for planar strongly connected steiner subgraph with fixed number of terminals and extensions")
  Member "subexponential parameterized algorithms for planar and apex minor free graphs via low treewidth pattern covering":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "tight bounds for planar strongly connected steiner subgraph with fixed number of terminals and extensions")
  Member "a near linear approximation scheme for multicuts of embedded graphs with a fixed number of terminals":
    also connected through other hyperedges:
      (none)
  Member "the limited blessing of low dimensionality when 1 1 d is the best possible exponent for d dimensional geometric problems":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the parameterized hardness of the k center problem in transportation networks")
  Member "optimal parameterized algorithms for planar facility location problems using voronoi diagrams":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "grundy coloring friends half graphs bicliques")
  Member "multicuts in planar and bounded genus graphs with bounded number of terminals":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "a near linear approximation scheme for multicuts of embedded graphs with a fixed number of terminals")

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.CC(Computational Complexity)