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 "codes for graph erasures"):
  Abstract: Motivated by systems where the information is represented by a graph, such as neural networks, associative memories, and distributed systems, we present in this work a new class of codes, called codes over graphs. Under this paradigm, the information is stored on the edges of an undirected graph, and a code over graphs is a set of graphs. A node failure is the event where all edges in the neighborhood of the failed node have been erased. We say that a code over graphs can tolerate $\rho$ node failures if it can correct the erased edges of any $\rho$ failed nodes in the graph. While the construction of such codes can be easily accomplished by MDS codes, their field size has to be at least $O(n^2)$, when $n$ is the number of nodes in the graph. In this work we present several constructions of codes over graphs with smaller field size. In particular, we present optimal codes over graphs correcting two node failures over the binary field, when the number of nodes in the graph is a prime number. We also present a construction of codes over graphs correcting $\rho$ node failures for all $\rho$ over a field of size at least $(n+1)/2-1$, and show how to improve this construction for optimal codes when $\rho=2,3$.

Includes members:
  Member "codes for erasures over directed graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "private information retrieval in graph based replication systems")
  Member "explicit constructions of high rate mds array codes with optimal repair bandwidth":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "towards practical private information retrieval from mds array codes")
  Member "explicit constructions of optimal access mds codes with nearly optimal sub packetization":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "towards practical private information retrieval from mds array codes")
  Member "repair optimal mds array codes over gf 2":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "multi layer transformed mds codes with optimal repair access and low sub packetization")
  Member "zigzag codes mds array codes with optimal rebuilding":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "enabling optimal access and error correction for the repair of reed solomon codes")
  Member "optimal exact regenerating codes for distributed storage at the msr and mbr points via a product matrix construction":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "enabling optimal access and error correction for the repair of reed solomon codes")

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.IT(Information Theory)