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 "research on solution space of bipartite graph vertex cover by maximum matchings"):
  Abstract: Some algorithms and statistics of the vertex-cover solution space on bipartite graphs are investigated in this paper. Based on 's theorem, an exact algorithm for solution space expression is proposed and some statistical analysis of the nodes' states is provided. The statistical results fit well with the algorithmic ones before the emergence of the unfrozen core, which leads to fluctuations of the statistical quantities and produces replica symmetric breaking in the solutions. Besides, the entropy and the clustering entropy of bipartite-graph vertex-cover solutions are calculated using some cycle simplification technique for the unfrozen core. Furthermore, as a generalization of bipartite graphs, a bipartite core graph is proposed, the solution space of which can also be easily determined; and to have further knowledge on the easily-solving vertex-cover instances, how to generate a – subgraph is studied by a growth process of adding edges. The investigation on the solution space of a bipartite-graph vertex-cover provides some insights and intensive understanding on solution space complexity, and will provide benefits in finding the maximum – subgraphs, solving a general-graph vertex-cover and recognizing the intrinsic hardness of NP-complete problems.

Includes members:
  Member "organization mechanism and counting algorithm on vertex cover solutions":
    also connected through other hyperedges:
      (none)
  Member "threshold values of random k sat from the cavity method":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "hierarchical decomposition mechanism by konig egervary layer subgraph with application on vertex cover")

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)