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 "the curse of medium dimension for geometric problems in almost every norm"):
  Abstract: Given a point-set, finding the Closest Pair of points in the set, determining its Diameter, and computing a Euclidean Minimum Spanning Tree are amongst the most fundamental problems in Computer Science and Computational Geometry. In this paper, we study the complexity of these three problems in medium dimension, i.e., dimension $d=\Theta(\log N)$, and for various $\ell_p$-norms. We show a reduction from SAT to these geometric problems in medium dimension, thus showing that these problems have no subquadratic-time algorithm, i.e., no $O(N^{2-\varepsilon}2^{o(d)})$-time algorithm for any $\varepsilon>0$, under the Strong Exponential-Time Hypothesis (SETH). In particular, under SETH we prove the following results: #R##N#$\bullet$ For every $p\geq 0$, there is no subquadratic-time algorithm for the Diameter problem, in the $\ell_p$-norm and dimension $d=\Theta(\log N)$. #R##N#$\bullet$ There is no subquadratic-time algorithm for the Euclidean Minimum Spanning Tree problem in dimension $d=\Theta(\log N)$. #R##N#$\bullet$ For every $p\in \mathbb{R}_{>2}\cup \{\infty\}$, there is no subquadratic-time algorithm for the Closest Pair problem in the $\ell_p$-norm and dimension $d=\Theta(\log N)$. Additionally, we prove a subquadratic lower bound for a generalization of the Closest Pair problem, namely the Set Closest Pair problem for all norms $\ell_p$, $p\in\mathbb{R}_{\geq 1}\cup\{\infty\}$. #R##N#Many of our proofs go through a reduction from the Bichromatic Closest Pair problem; we prove that for every $p\in\mathbb{R}^+\cup \{\infty\}$, there is no subquadratic-time algorithm for the Bichromatic Closest Pair problem in the $\ell_p$-norm and dimension $d=\Theta(\log N)$, extending a result by Alman and Williams [FOCS 2015]. To show certain limitations of our techniques, we also prove a Point-Set Separation lemma for the $\ell_2$-norm, which might be of independent interest.

Includes members:
  Member "subtree isomorphism revisited":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "tighter connections between formula sat and shaving logs")
  Member "simulating branching programs with edit distance and friends or a polylog shaved is a lower bound made":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "streaming with oracle new streaming algorithms for edit distance and lcs")
  Member "if the current clique algorithms are optimal so is valiant s parser":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "new algorithms and hardness for incremental single source shortest paths in directed graphs")
  Member "quadratic conditional lower bounds for string problems and dynamic time warping":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "streaming with oracle new streaming algorithms for edit distance and lcs")
  Member "probabilistic polynomials and hamming nearest neighbors":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "algorithms for similarity search and pseudorandomness")
  Member "why walking the dog takes time frechet distance has no strongly subquadratic algorithms unless seth fails":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "graphs cannot be indexed in polynomial time for sub quadratic time string matching unless seth fails")
  Member "popular conjectures imply strong lower bounds for dynamic problems":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "new algorithms and hardness for incremental single source shortest paths in directed graphs")
  Member "edit distance cannot be computed in strongly subquadratic time unless seth is false":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "streaming with oracle new streaming algorithms for edit distance and lcs")

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.CG(Computational Geometry)