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: "examining the unique decodability of insertion correcting codes beyond the guarantee"
  Abstract: Unlike the space of received words generated by substitution errors, the space of received words generated by insertion errors is infinite. Given an arbitrary code, it is therefore possible for there to exist an infinite number of received words that are unique to a particular codeword. This work explores the extent to which an arbitrary insertion-correcting code can take advantage of this fact. For a particular codeword $c$ of length $n,$ we are interested in two specific measures. The first is the fraction of received words of length $n+t$ which are unique to $c.$ The second is the fraction of insertion histories of length $t$ which give rise to received words of length $n+t$ that are unique to $c.$ The first measure is the probability of uniquely decoding when $t$ insertion occur, if all possible length $n+t$ received words are equally likely. The second measure is the probability of uniquely decoding when $t$ consecutive insertions occur, and each insertion position and element are selected uniformly at random. We provide upper bounds on both of these measures and examine the asymptotic behavior. We also show that both measures are non-negative for at least one codeword in every code, for all $t.$ We proceed to examine 2 types of codes for only one insertion beyond their respective guarantees, and propose an open problem, which if proved true, would explain our surprising observations. Along the way, we make the practical observation that the design parameter $a$ of a VT-code can be selected to maximize the code's effectiveness for decoding 2 or more insertions. Finally, we analyze the set of sequences used to derive our upper bounds.

Connected through hyperedge HE-1 (induced by source paper "list decoding of insertions and deletions"):
  with members:
    - "bounds on codes correcting tandem and palindromic duplications"
    - "exact reconstruction from insertions in synchronization codes"
    - "duplication correcting codes for data storage in the dna of living organisms"
    - "codes correcting a burst of deletions or insertions"
    - "efficient low redundancy codes for correcting multiple deletions"
    - "some gabidulin codes cannot be list decoded efficiently at any radius"
    - "bounds on list decoding of rank metric 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)