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 parameterized algorithm for mixed cut"):
  Abstract: The classical Menger's theorem states that in any undirected (or directed) graph $G$, given a pair of vertices $s$ and $t$, the maximum number of vertex (edge) disjoint paths is equal to the minimum number of vertices (edges) needed to disconnect from $s$ and $t$. This min-max result can be turned into a polynomial time algorithm to find the maximum number of vertex (edge) disjoint paths as well as the minimum number of vertices (edges) needed to disconnect $s$ from $t$. In this paper we study a mixed version of this problem, called Mixed-Cut, where we are given an undirected graph $G$, vertices $s$ and $t$, positive integers $k$ and $l$ and the objective is to test whether there exist a $k$ sized vertex set $S \subseteq V(G)$ and an $l$ sized edge set $F \subseteq E(G)$ such that deletion of $S$ and $F$ from $G$ disconnects from $s$ and $t$. We start with a small observation that this problem is NP-complete and then study this problem, in fact a much stronger generalization of this, in the realm of parameterized complexity. In particular we study the Mixed-Multiway Cut-Uncut problem where along with a set of terminals $T$, we are also given an equivalence relation $\mathcal{R}$ on $T$, and the question is whether we can delete at most $k$ vertices and at most $l$ edges such that connectivity of the terminals in the resulting graph respects $\mathcal{R}$. Our main results is a fixed parameter algorithm for Mixed-Multiway Cut-Uncut using the method of recursive understanding introduced by Chitnis et al. (FOCS 2012).

Includes members:
  Member "chordal editing is fixed parameter tractable":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a polynomial kernel for 3 leaf power deletion")
  Member "designing fpt algorithms for cut problems using randomized contractions":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "grundy coloring friends half graphs bicliques")
  Member "fixed parameter tractability of multicut in directed acyclic graphs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "a relaxation of the directed disjoint paths problem a global congestion metric helps")
  Member "reducing the rank of a matroid":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "improved algorithms for mst and metric tsp interdiction")
  Member "minimum k way cut of bounded size is fixed parameter tractable":
    also connected through other hyperedges:
      - Hyperedge HE-5 (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-6 (induced by source paper "fixed parameter tractability of counting small minimum s t cuts")
  Member "fixed parameter tractability of directed multiway cut parameterized by the size of the cutset":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "hitting long directed cycles is fixed parameter tractable")
  Member "multicut is fpt":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "parameterized inapproximability for steiner orientation by gap amplification")

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)