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: "connectivity in random annulus graphs and the geometric block model"
  Abstract: Random geometric graphs are the simplest, and perhaps the earliest possible random graph model of spatial networks, introduced by Gilbert in 1961. In the most basic setting, a random geometric graph $G(n,r)$ has $n$ vertices. Each vertex of the graph is assigned a real number in $[0,1]$ randomly and uniformly. There is an edge between two vertices if the corresponding two random numbers differ by at most $r$ (to mitigate the boundary effect, let us consider the Lee distance here, $d_L(u,v) = \min\{|u-v|, 1-|u-v|\}$). It is well-known that the connectivity threshold regime for random geometric graphs is at $r \approx \frac{\log n}{n}$. In particular, if $r = \frac{a\log n}{n}$, then a random geometric graph is connected with high probability if and only if $a > 1$. Consider $G(n,\frac{(1+\epsilon)\log{n}}{n})$ for any $\epsilon >0$ to satisfy the connectivity requirement and delete half of its edges which have distance at most $\frac{\log{n}}{2n}$. It is natural to believe that the resultant graph will be disconnected. Surprisingly, we show that the graph still remains connected! #R##N#Formally, generalizing random geometric graphs, we define a random annulus graph $G(n, [r_1, r_2]), r_1   \frac12$ and $a >1$. That is $G(n, [0,\frac{0.99\log n}{n}])$ is not connected but $G(n,[\frac{0.50 \log n}{n},\frac{1+\epsilon \log n}{n}])$ is. #R##N#This result is then used to give improved lower and upper bounds on the recovery threshold of the geometric block model.

Connected through hyperedge HE-1 (induced by source paper "renyi entropy bounds on the active learning cost performance tradeoff"):
  with members:
    - "graph powering and spectral robustness"
    - "a survey on theoretical advances of community detection in networks"
    - "active community detection a maximum likelihood approach"
    - "active learning for community detection in stochastic block models"
    - "s2 an efficient graph based active learning algorithm with application to nonparametric classification"
    - "phase transitions in semisupervised clustering of sparse networks"
    - "exact recovery in the stochastic block model"
    - "active learning on trees and graphs"

Connected through hyperedge HE-2 (induced by source paper "active learning in the geometric block model"):
  with members:
    - "graph powering and spectral robustness"
    - "community recovery in hypergraphs"
    - "the geometric block model"
    - "active learning for community detection in stochastic block models"
    - "s2 an efficient graph based active learning algorithm with application to nonparametric classification"
    - "active learning on trees and graphs"
    - "defining and evaluating network communities based on ground truth"

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.DM(Discrete Mathematics)