human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "the dynamics of rank maximal and popular matchings"
  Abstract: Given a bipartite graph, where the two sets of vertices are applicants and posts and ranks on the edges represent preferences of applicants over posts, a {\em rank-maximal} matching is one in which the maximum number of applicants is matched to their rank one posts and subject to this condition, the maximum number of applicants is matched to their rank two posts, and so on. A rank-maximal matching can be computed in $O(\min(c \sqrt{n},n) m)$ time, where $n$ denotes the number of applicants, $m$ the number of edges and $c$ the maximum rank of an edge in an optimal solution \cite{IrvingKMMP06}. #R##N#We study the dynamic version of the problem in which a new applicant or post may be added to the graph and we would like to maintain a rank-maximal matching. We show that after the arrival of one vertex, we are always able to update the existing rank-maximal matching in $O(\min(cn ,n^2) + m)$ time; moreover, by the application of just one alternating path. The time bound can be considered optimal under the circumstances, as improving it would imply a better running time for the rank-maximal matching problem. Additionally, our solution has the property that enables to minimize the number of needed changes. #R##N#As a by-product we also get an analogous $O(m)$ result for the dynamic version of the (one-sided) popular matching problem.

Connected through hyperedge HE-1 (induced by source paper "adapting stable matchings to evolving preferences"):
  with members:
    - "stable roommates with narcissistic single peaked and single crossing preferences"
    - "matchings under preferences strength of stability and trade offs"
    - "stable matchings robust solutions and distributive lattices"
    - "stable marriage with multi modal preferences"
    - "reoptimization of parameterized problems"
    - "parameterized dynamic cluster editing"
    - "finding stable matchings that are robust to errors in the input"
    - "finding robust solutions to stable marriage"

Connected through hyperedge HE-2 (induced by source paper "dynamic rank maximal matchings"):
  with members:
    - "new deterministic approximation algorithms for fully dynamic matching"
    - "deterministic fully dynamic data structures for vertex cover and matching"
    - "fully dynamic maximal matching in o log n update time"

Connected through hyperedge HE-3 (induced by source paper "manipulation strategies for the rank maximal matching problem"):
  with members:
    - "size versus truthfulness in the house allocation problem"
    - "dynamic rank maximal matchings"

Question: Please tell me which class the center node 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)