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 "truthful mechanism design for multidimensional covering problems"):
  Abstract: We investigate {\em multidimensional covering mechanism-design} problems, wherein there are $m$ items that need to be covered and $n$ agents who provide covering objects, with each agent $i$ having a private cost for the covering objects he provides. The goal is to select a set of covering objects of minimum total cost that together cover all the items. #R##N#We focus on two representative covering problems: uncapacitated facility location (\ufl) and vertex cover (\vcp). For multidimensional \ufl, we give a black-box method to transform any {\em Lagrangian-multiplier-preserving} $\rho$-approximation algorithm for \ufl to a truthful-in-expectation, $\rho$-approx. mechanism. This yields the first result for multidimensional \ufl, namely a truthful-in-expectation 2-approximation mechanism. #R##N#For multidimensional \vcp (\mvcp), we develop a {\em decomposition method} that reduces the mechanism-design problem into the simpler task of constructing {\em threshold mechanisms}, which are a restricted class of truthful mechanisms, for simpler (in terms of graph structure or problem dimension) instances of \mvcp. By suitably designing the decomposition and the threshold mechanisms it uses as building blocks, we obtain truthful mechanisms with the following approximation ratios ($n$ is the number of nodes): (1) $O(r^2\log n)$ for $r$-dimensional \vcp; and (2) $O(r\log n)$ for $r$-dimensional \vcp on any proper minor-closed family of graphs (which improves to $O(\log n)$ if no two neighbors of a node belong to the same player). These are the first truthful mechanisms for \mvcp with non-trivial approximation guarantees.

Includes members:
  Member "the computational complexity of truthfulness in combinatorial auctions":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "improved truthful mechanisms for combinatorial auctions with submodular bidders")
  Member "from convex optimization to randomized mechanisms toward optimal combinatorial auctions":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "improved truthful mechanisms for combinatorial auctions with submodular bidders")
  Member "frugal mechanism design via spectral techniques":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "optimal budget feasible mechanisms for additive valuations")
  Member "frugal and truthful auctions for vertex covers flows and cuts":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "optimal budget feasible mechanisms for additive valuations")
  Member "frugality ratios and improved truthful mechanisms for vertex cover":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "optimal budget feasible mechanisms for additive valuations")
  Member "greedy facility location algorithms analyzed using dual fitting with factor revealing lp":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "cache optimization models and algorithms")

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.GT(Computer Science and Game Theory)