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: "optimal rebuilding of multiple erasures in mds codes"
  Abstract: MDS array codes are widely used in storage systems due to their computationally efficient encoding and decoding procedures. An MDS code with $r$ redundancy nodes can correct any $r$ node erasures by accessing all the remaining information in the surviving nodes. However, in practice, $e$ erasures is a more likely failure event, for $1\le e<r$. Hence, a natural question is how much information do we need to access in order to rebuild $e$ storage nodes? We define the rebuilding ratio as the fraction of remaining information accessed during the rebuilding of $e$ erasures. In our previous work we constructed MDS codes, called zigzag codes, that achieve the optimal rebuilding ratio of $1/r$ for the rebuilding of any systematic node when $e=1$, however, all the information needs to be accessed for the rebuilding of the parity node erasure. #R##N#The (normalized) repair bandwidth is defined as the fraction of information transmitted from the remaining nodes during the rebuilding process. For codes that are not necessarily MDS, Dimakis et al. proposed the regenerating codes framework where any $r$ erasures can be corrected by accessing some of the remaining information, and any $e=1$ erasure can be rebuilt from some subsets of surviving nodes with optimal repair bandwidth. #R##N#In this work, we study 3 questions on rebuilding of codes: (i) We show a fundamental trade-off between the storage size of the node and the repair bandwidth similar to the regenerating codes framework, and show that zigzag codes achieve the optimal rebuilding ratio of $e/r$ for MDS codes, for any $1\le e\le r$. (ii) We construct systematic codes that achieve optimal rebuilding ratio of $1/r$, for any systematic or parity node erasure. (iii) We present error correction algorithms for zigzag codes, and in particular demonstrate how these codes can be corrected beyond their minimum Hamming distances.

Connected through hyperedge HE-1 (induced by source paper "new constructions of cooperative msr codes reducing node size to exp o n"):
  with members:
    - "cooperative repair constructions of optimal mds codes for all admissible parameters"
    - "on the achievability region of regenerating codes for multiple erasures"
    - "improved schemes for asymptotically optimal repair of mds codes"
    - "optimal repair of reed solomon codes achieving the cut set bound"
    - "optimal repair schemes for some families of full length reed solomon codes"
    - "repairing reed solomon codes with multiple erasures"
    - "an explicit coupled layer construction of a high rate msr code with low sub packetization level small field size and all node repair"
    - "explicit constructions of high rate mds array codes with optimal repair bandwidth"

Connected through hyperedge HE-2 (induced by source paper "the repair problem for reed solomon codes optimal repair of single and multiple erasures asymptotically optimal node size"):
  with members:
    - "optimal repair of reed solomon codes achieving the cut set bound"
    - "efficiently repairing algebraic geometry codes"
    - "mds code constructions with small sub packetization and near optimal repair bandwidth"
    - "a tight lower bound on the sub packetization level of optimal access msr and mds codes"
    - "optimal repair schemes for some families of full length reed solomon codes"
    - "repairing multiple failures for scalar mds codes"
    - "repairing reed solomon codes with multiple erasures"
    - "minimum storage regenerating codes for all parameters"

Connected through hyperedge HE-3 (induced by source paper "cooperative repair constructions of optimal mds codes for all admissible parameters"):
  with members:
    - "on the achievability region of regenerating codes for multiple erasures"
    - "the repair problem for reed solomon codes optimal repair of single and multiple erasures asymptotically optimal node size"
    - "improved schemes for asymptotically optimal repair of mds codes"
    - "optimal repair of reed solomon codes achieving the cut set bound"
    - "repairing reed solomon codes universally achieving the cut set bound for any number of erasures"
    - "optimal repair schemes for some families of full length reed solomon codes"
    - "repairing multiple failures for scalar mds codes"
    - "repairing reed solomon codes with multiple erasures"

Connected through hyperedge HE-4 (induced by source paper "optimal mds codes for cooperative repair"):
  with members:
    - "improved schemes for asymptotically optimal repair of mds codes"
    - "optimal repair of reed solomon codes achieving the cut set bound"
    - "repairing reed solomon codes universally achieving the cut set bound for any number of erasures"
    - "optimal repair schemes for some families of full length reed solomon codes"
    - "repairing multiple failures for scalar mds codes"
    - "repairing reed solomon codes with multiple erasures"
    - "minimum storage regenerating codes for all parameters"
    - "an explicit coupled layer construction of a high rate msr code with low sub packetization level small field size and all node repair"

Connected through hyperedge HE-5 (induced by source paper "scalar mscr codes via the product matrix construction"):
  with members:
    - "cooperative repair constructions of optimal mds codes for all admissible parameters"
    - "minimum storage regenerating codes for all parameters"
    - "explicit constructions of high rate mds array codes with optimal repair bandwidth"
    - "cooperative repair of multiple node failures in distributed storage systems"
    - "explicit constructions of optimal access mds codes with nearly optimal sub packetization"
    - "a high rate msr code with polynomial sub packetization level"
    - "repairing multiple failures in the suh ramchandran regenerating codes"
    - "interference alignment in regenerating codes for distributed storage necessity and code constructions"

Connected through hyperedge HE-6 (induced by source paper "centralized multi node repair regenerating codes"):
  with members:
    - "cooperative repair constructions of optimal mds codes for all admissible parameters"
    - "optimal mds codes for cooperative repair"
    - "repairing reed solomon codes universally achieving the cut set bound for any number of erasures"
    - "repairing reed solomon codes with two erasures"
    - "repairing multiple failures for scalar mds codes"
    - "progress on high rate msr codes enabling arbitrary number of helper nodes"
    - "repairing reed solomon codes with multiple erasures"
    - "minimum storage regenerating codes for all parameters"

Connected through hyperedge HE-7 (induced by source paper "repairing multiple failures for scalar mds codes"):
  with members:
    - "on the i o costs of some repair schemes for full length reed solomon codes"
    - "optimal mds codes for cooperative repair"
    - "centralized multi node repair regenerating codes"
    - "optimal repair of reed solomon codes achieving the cut set bound"
    - "repairing reed solomon codes universally achieving the cut set bound for any number of erasures"
    - "repairing reed solomon codes with two erasures"
    - "optimal repair schemes for some families of full length reed solomon codes"
    - "repairing reed solomon codes with multiple erasures"

Connected through hyperedge HE-8 (induced by source paper "centralized repair of multiple node failures with applications to communication efficient secret sharing"):
  with members:
    - "on the tradeoff region of secure exact repair regenerating codes"
    - "minimum storage regenerating codes for all parameters"
    - "broadcast repair for wireless distributed storage systems"
    - "explicit constructions of high rate mds array codes with optimal repair bandwidth"
    - "security concerns in minimum storage cooperative regenerating codes"
    - "on secrecy capacity of minimum storage regenerating codes"
    - "a high rate msr code with polynomial sub packetization level"
    - "cooperative local repair in distributed storage"

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)