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 "hierarchical decomposition mechanism by konig egervary layer subgraph with application on vertex cover"):
  Abstract: K\"{o}nig-Eg\'{e}rvary (KE) graph and theorem provides useful tools and deep understanding in the graph theory, which is an essential way to model complex systems. KE properties are strongly correlated with the maximum matching problem and minimum vertex cover problem, and have been widely researched and applied in many mathematical, physical and theoretical computer science problems. In this paper, based on the structural features of KE graphs and applications of maximum edge matching, the concept named KE-layer structure of general graphs is proposed to decompose the graphs into several layers. To achieve the hierarchical decomposition, an algorithm to verify the KE graph is given by the solution space expression of Vertex-Cover, and the relation between multi-level KE graphs and maximal matching is illustrated and proved. Furthermore, a framework to calculate the KE-layer number and approximate the minimal vertex-cover is proposed, with different strategies of switching nodes and counting energy. The phase transition phenomenon between different KE-layers are studied with the transition points located, the vertex cover numbers got by this strategy have comparable advantage against several other methods, and its efficiency outperforms the existing ones just before the transition point. Also, the proposed method performs stability and satisfying accuracy at different scales to approximate the exact minimum coverage. The KE-layer analysis provides a new viewpoint to understand the structural organizations of graphs better, and its formation mechanism can help reveal the intrinsic complexity and establish heuristic strategy for large-scale graphs/systems recognition.

Includes members:
  Member "core influence mechanism on vertex cover problem through leaf removal core breaking":
    also connected through other hyperedges:
      (none)
  Member "modeling polypharmacy side effects with graph convolutional networks":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "differentiable graph module dgm graph convolutional networks")
  Member "higher order organization of complex networks":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "hypergraph motifs concepts algorithms and discoveries")
  Member "finding perfect matchings in bipartite hypergraphs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "algorithms for weighted independent transversals and strong colouring")
  Member "research on solution space of bipartite graph vertex cover by maximum matchings":
    also connected through other hyperedges:
      (none)
  Member "evolution of the internet k dense structure":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the devils in the details placing decoy routers in the internet")
  Member "threshold values of random k sat from the cavity method":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the hard problems are almost everywhere for random cnf xor formulas")

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.SI(Social and Information Networks)