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 "graph pricing with limited supply"):
  Abstract: We study approximation algorithms for graph pricing with vertex capacities yet without the traditional envy-free constraint. Specifically, we have a set of items $V$ and a set of customers $X$ where each customer $i \in X$ has a budget $b_i$ and is interested in a bundle of items $S_i \subseteq V$ with $|S_i| \leq 2$. However, there is a limited supply of each item: we only have $\mu_v$ copies of item $v$ to sell for each $v \in V$. We should assign prices $p(v)$ to each $v \in V$ and chose a subset $Y \subseteq X$ of customers so that each $i \in Y$ can afford their bundle ($p(S_i) \leq b_i$) and at most $\mu_v$ chosen customers have item $v$ in their bundle for each item $v \in V$. Each customer $i \in Y$ pays $p(S_i)$ for the bundle they purchased: our goal is to do this in a way that maximizes revenue. Such pricing problems have been studied from the perspective of envy-freeness where we also must ensure that $p(S_i) \geq b_i$ for each $i \notin Y$. However, the version where we simply allocate items to customers after setting prices and do not worry about the envy-free condition has received less attention. #R##N#Our main result is an 8-approximation for the capacitated case via local search and a 7.8096-approximation in simple graphs with uniform vertex capacities. The latter is obtained by combing a more involved analysis of a multi-swap local search algorithm for constant capacities and an LP-rounding algorithm for larger capacities. If all capacities are bounded by a constant $C$, we further show a multi-swap local search algorithm yields an $\left(4 \cdot \frac{2C-1}{C} + \epsilon\right)$-approximation. We also give a $(4+\epsilon)$-approximation in simple graphs through LP rounding when all capacities are very large as a function of $\epsilon$.

Includes members:
  Member "exact algorithms and lower bounds for stable instances of euclidean k means":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on euclidean k means clustering with alpha center proximity")
  Member "hardness of graph pricing through generalized max dicut":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "networks of complements")
  Member "independent set induced matching and pricing connections and tight subexponential time approximation hardnesses":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "revenue maximization for query pricing")
  Member "approximation algorithms for non single minded profit maximization problems with limited supply":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "price doubling and item halving robust revenue guarantees for item pricing")
  Member "a sublogarithmic approximation for highway and tollbooth pricing":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "improved approximation for orienting mixed 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)