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: "index coding rank invariant extensions"
  Abstract: An index coding (IC) problem consisting of a server and multiple receivers with different side-information and demand sets can be equivalently represented using a fitting matrix. A scalar linear index code to a given IC problem is a matrix representing the transmitted linear combinations of the message symbols. The length of an index code is then the number of transmissions (or equivalently, the number of rows in the index code). An IC problem ${\cal I}_{ext}$ is called an extension of another IC problem ${\cal I}$ if the fitting matrix of ${\cal I}$ is a submatrix of the fitting matrix of ${\cal I}_{ext}$. We first present a straightforward $m$\textit{-order} extension ${\cal I}_{ext}$ of an IC problem ${\cal I}$ for which an index code is obtained by concatenating $m$ copies of an index code of ${\cal I}$. The length of the codes is the same for both ${\cal I}$ and ${\cal I}_{ext}$, and if the index code for ${\cal I}$ has optimal length then so does the extended code for ${\cal I}_{ext}$. More generally, an extended IC problem of ${\cal I}$ having the same optimal length as ${\cal I}$ is said to be a \textit{rank-invariant} extension of ${\cal I}$. We then focus on $2$-order rank-invariant extensions of ${\cal I}$, and present constructions of such extensions based on involutory permutation matrices.

Connected through hyperedge HE-1 (induced by source paper "optimal weakly secure linear codes for some classes of the two sender index coding problem"):
  with members:
    - "cooperative multi sender index coding"
    - "on the capacity region for secure index coding"
    - "on the optimal broadcast rate of the two sender unicast index coding problem with fully participated interactions"
    - "structural characteristics of two sender index coding"
    - "on the capacity for distributed index coding"
    - "coded caching with distributed storage"
    - "secure index coding existence and construction"
    - "the single uniprior index coding problem the single sender case and the multi sender extension"

Connected through hyperedge HE-2 (induced by source paper "optimal scalar linear codes for some classes of the two sender groupcast index coding problem"):
  with members:
    - "cooperative multi sender index coding"
    - "linear index coding with multiple senders and extension to a cellular network"
    - "on the optimal broadcast rate of the two sender unicast index coding problem with fully participated interactions"
    - "structural characteristics of two sender index coding"
    - "on the capacity for distributed index coding"
    - "joint latency and cost optimization for erasure coded data center storage"
    - "coded caching with distributed storage"
    - "the single uniprior index coding problem the single sender case and the multi sender extension"

Connected through hyperedge HE-3 (induced by source paper "groupcast index coding problem joint extensions"):
  with members:
    - "linear codes for broadcasting with noisy side information"
    - "optimal scalar linear codes for some classes of the two sender groupcast index coding problem"
    - "low complexity decoding for symmetric neighboring and consecutive side information index coding problems"
    - "structural properties of index coding capacity"
    - "the single uniprior index coding problem the single sender case and the multi sender extension"
    - "generalized lexicographic products and the index coding capacity"
    - "optimal vector linear index codes for some symmetric side information problems"
    - "a lifting construction for scalar linear index codes"

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.IT(Information Theory)