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 "from regular expression matching to parsing"):
  Abstract: Given a regular expression $R$ and a string $Q$ the regular expression matching problem is to determine if $Q$ is a member of the language generated by $R$. The classic textbook algorithm by Thompson [C. ACM 1968] constructs and simulates a non-deterministic finite automaton in $O(nm)$ time and $O(m)$ space, where $n$ and $m$ are the lengths of the string and the regular expression, respectively. Assuming the strong exponential time hypothesis Backurs and Indyk [FOCS 2016] showed that this result is nearly optimal. However, for most applications determining membership is insufficient and we need to compute \emph{how we match}, i.e., to identify or replace matches or submatches in the string. Using backtracking we can extend Thompson's algorithm to solve this problem, called regular expression parsing, in the same asymptotic time but with a blow up in space to $\Omega(nm)$. Surprisingly, all existing approaches suffer the same or a similar quadratic blow up in space and no known solutions for regular expression parsing significantly improve this gap between matching and parsing. #R##N#In this paper, we overcome this gap and present a new algorithm for regular expression parsing using $O(nm)$ time and $O(n + m)$ space. To achieve our result, we develop a novel divide and conquer approach similar in spirit to the classic divide and conquer technique by Hirshberg [C. ACM 1975] for computing a longest common subsequence of two strings in quadratic time and linear space. We show how to carefully decompose the problem to handle cyclic interactions in the automaton leading to a subproblem construction of independent interest. Finally, we generalize our techniques to convert other existing state-set transition algorithms for matching to parsing using only linear space.

Includes members:
  Member "which regular expression patterns are hard to match":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "graphs cannot be indexed in polynomial time for sub quadratic time string matching unless seth fails")
  Member "new algorithms for regular expression matching":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "sparse regular expression matching")
  Member "fast and compact regular expression matching":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "approximating lcs in linear time beating the sqrt n barrier")

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)