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 "multi budgeted directed cuts"):
  Abstract: We study multi-budgeted variants of the classic minimum cut problem and graph separation problems that turned out to be important in parameterized complexity: Skew Multicut and Directed Feedback Arc Set. In our generalization, we assign colors $1,2,...,\ell$ to some edges and give separate budgets $k_{1},k_{2},...,k_{\ell}$. Let $E_{i}$ be the set of edges of color $i$. The solution $C$ for the multi-budgeted variant of a graph separation problem not only needs to satisfy the usual separation requirements, but also needs to satisfy that $|C\cap E_{i}|\leq k_{i}$ for every $i\in \{1,...,\ell\}$. #R##N#Contrary to the classic minimum cut problem, the multi-budgeted variant turns out to be NP-hard even for $\ell = 2$. We propose FPT algorithms parameterized by $k=k_{1}+...+k_{\ell}$ for all three problems. To this end, we develop a branching procedure for the multi-budgeted minimum cut problem that measures the progress of the algorithm not by reducing $k$ as usual, by but elevating the capacity of some edges and thus increasing the size of maximum source-to-sink flow. Using the fact that a similar strategy is used to enumerate all important separators of a given size, we merge this process with the flow-guided branching and show an FPT bound on the number of (appropriately defined) important multi-budgeted separators. This allows us to extend our algorithm to the Skew Multicut and Directed Feedback Arc Set problems. #R##N#Furthermore, we show connections of the multi-budgeted variants with weighted variants of the directed cut problems and the Chain $\ell$-SAT problem, whose parameterized complexity remains an open problem. We show that these problems admit a bounded-in-parameter number of "maximally pushed" solutions (in a similar spirit as important separators are maximally pushed), giving somewhat weak evidence towards their tractability.

Includes members:
  Member "parameterized complexity and approximability of directed odd cycle transversal":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "parameterized approximation algorithms for directed steiner network problems")
  Member "linear time kernelization for feedback vertex set":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "improved analysis of highest degree branching for feedback vertex set")
  Member "a linear time parameterized algorithm for directed feedback vertex set":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "dynamic parameterized problems and algorithms")
  Member "directed multicut is w 1 hard even for four terminal pairs":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "parameterized inapproximability for steiner orientation by gap amplification")
  Member "half integrality lp branching and fpt algorithms":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "parameterized algorithms for milps with small treedepth")
  Member "list h coloring a graph by removing few vertices":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "optimal data reduction for graph coloring using low degree polynomials")
  Member "designing fpt algorithms for cut problems using randomized contractions":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "grundy coloring friends half graphs bicliques")
  Member "directed subset feedback vertex set is fixed parameter tractable":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "hitting long directed cycles is fixed parameter tractable")

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)