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: "on parity check collections for iterative erasure decoding that correct all correctable erasure patterns of a given size"
  Abstract: Recently there has been interest in the construction of small parity-check sets for iterative decoding of the Hamming code with the property that each uncorrectable (or stopping) set of size three is the support of a codeword and hence uncorrectable anyway. Here we reformulate and generalize the problem and improve on this construction. We show that a parity-check collection that corrects all correctable erasure patterns of size m for the Hamming code with codimension r provides, in fact, for all codes of codimension r a corresponding "generic" parity-check collection with this property. This leads in a natural way to a necessary and sufficient condition for such generic parity-check collections. We use this condition to construct a generic parity-check collection for codes of codimension r correcting all correctable erasure patterns of size at most m, for all r and mlesr, thus generalizing the known construction for m=3. Then we discuss optimality of our construction and show that it can be improved for mges3 and r large enough. Finally, we discuss some directions for further research

Connected through hyperedge HE-1 (induced by source paper "bounds on separating redundancy of linear codes and rates of x codes"):
  with members:
    - "probabilistic bounds on the trapping redundancy of linear codes"
    - "on generic erasure correcting sets and related problems"
    - "a combinatorial approach to x tolerant compaction circuits"
    - "the trapping redundancy of linear block codes"
    - "results on parity check matrices with optimal stopping and or dead end set enumerators"
    - "on the stopping distance and the stopping redundancy of codes"
    - "improved upper bounds on stopping redundancy"

Connected through hyperedge HE-2 (induced by source paper "stopping redundancy hierarchy beyond the minimum distance"):
  with members:
    - "distance properties of short ldpc codes and their impact on the bp ml and near ml decoding performance"
    - "on the pseudocodeword redundancy of binary linear codes"
    - "permutation decoding and the stopping redundancy hierarchy of cyclic and extended cyclic codes"
    - "generating parity check equations for bounded distance iterative erasure decoding"
    - "on the stopping distance and the stopping redundancy of codes"
    - "improved upper bounds on stopping redundancy"

Connected through hyperedge HE-3 (induced by source paper "new two stage automorphism group decoders for cyclic codes in the erasure channel"):
  with members:
    - "stopping sets of algebraic geometry codes"
    - "optimal exact regenerating codes for distributed storage at the msr and mbr points via a product matrix construction"
    - "multiple bases belief propagation decoding of high density cyclic codes"
    - "single exclusion number and the stopping redundancy of mds codes"
    - "permutation decoding and the stopping redundancy hierarchy of cyclic and extended cyclic codes"
    - "on the stopping distance and the stopping redundancy of codes"

Connected through hyperedge HE-4 (induced by source paper "refined upper bounds on stopping redundancy of binary linear codes"):
  with members:
    - "on the pseudocodeword redundancy of binary linear codes"
    - "permutation decoding and the stopping redundancy hierarchy of cyclic and extended cyclic codes"
    - "on the stopping distance and the stopping redundancy of codes"
    - "improved upper bounds on stopping redundancy"

Connected through hyperedge HE-5 (induced by source paper "stopping sets of algebraic geometry codes"):
  with members:
    - "on generic erasure correcting sets and related problems"
    - "stopping set distributions of some linear codes"
    - "single exclusion number and the stopping redundancy of mds codes"
    - "permutation decoding and the stopping redundancy hierarchy of cyclic and extended cyclic codes"
    - "complete enumeration of stopping sets of full rank parity check matrices of hamming codes"
    - "on the stopping distance and the stopping redundancy of codes"
    - "hard problems of algebraic geometry codes"
    - "improved upper bounds on stopping redundancy"

Connected through hyperedge HE-6 (induced by source paper "on generic erasure correcting sets and related problems"):
  with members:
    - "permutation decoding and the stopping redundancy hierarchy of cyclic and extended cyclic codes"
    - "on the stopping distance and the stopping redundancy of codes"
    - "improved upper bounds on stopping redundancy"

Connected through hyperedge HE-7 (induced by source paper "multiple bases belief propagation decoding of high density cyclic codes"):
  with members:
    - "permutation decoding and the stopping redundancy hierarchy of cyclic and extended cyclic codes"
    - "on the hardness of approximating stopping and trapping sets in ldpc codes"
    - "complete enumeration of stopping sets of full rank parity check matrices of hamming codes"
    - "on the stopping distance and the stopping redundancy of codes"
    - "improved upper bounds on stopping redundancy"
    - "pseudocodewords of tanner graphs"
    - "iterative soft input soft output decoding of reed solomon codes by adapting the parity check matrix"

Connected through hyperedge HE-8 (induced by source paper "the trapping redundancy of linear block codes"):
  with members:
    - "permutation decoding and the stopping redundancy hierarchy of cyclic and extended cyclic codes"
    - "on the hardness of approximating stopping and trapping sets in ldpc codes"
    - "shortened array codes of large girth"
    - "improving convergence of belief propagation decoding"
    - "a general computation rule for lossy summaries messages with examples from equalization"
    - "characterizations of pseudo codewords of ldpc codes"
    - "on the stopping distance and the stopping redundancy of codes"
    - "graph cover decoding and finite length analysis of message passing iterative decoding of ldpc 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)