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: "centralized multi node repair regenerating codes"
  Abstract: In a distributed storage system, recovering from multiple failures is a critical and frequent task that is crucial for maintaining the system's reliability and fault-tolerance. In this work, we focus on the problem of repairing multiple failures in a centralized way, which can be desirable in many data storage configurations, and we show that a significant repair traffic reduction is possible. First, the fundamental tradeoff between the repair bandwidth and the storage size for functional repair is established. Using a graph-theoretic formulation, the optimal tradeoff is identified as the solution to an integer optimization problem, for which a closed-form expression is derived. Expressions of the extreme points, namely the minimum storage multi-node repair (MSMR) and minimum bandwidth multi-node repair (MBMR) points, are obtained. Second, we describe a general framework for converting single erasure minimum storage regenerating codes to MSMR codes. The repair strategy for $e$ failures is similar to that for single failure, however certain extra requirements need to be satisfied by the repairing functions for single failure. For illustration, the framework is applied to product-matrix codes and interference alignment codes. Furthermore, we prove that the functional MBMR point is not achievable for linear exact repair codes. We also show that exact-repair minimum bandwidth cooperative repair (MBCR) codes achieve an interior point, that lies near the MBMR point, when $k \equiv 1 \mod e$, $k$ being the minimum number of nodes needed to reconstruct the entire data. Finally, for $k> 2e, e\mid k$ and $e \mid d$, where $d$ is the number of helper nodes during repair, we show that the functional repair tradeoff is not achievable under exact repair, except for maybe a small portion near the MSMR point, which parallels the results for single erasure repair by Shah et al.

Connected through hyperedge HE-1 (induced by source paper "practical functional regenerating codes for broadcast repair of multiple nodes"):
  with members:
    - "functional repair codes a view from projective geometry"
    - "broadcast repair for wireless distributed storage systems"
    - "centralized repair of multiple node failures with applications to communication efficient secret sharing"
    - "characterizations and construction methods for linear functional repair storage codes"
    - "exact cooperative regenerating codes with minimum repair bandwidth for distributed storage"
    - "cooperative regenerating codes"
    - "repairing multiple failures with coordinated and adaptive regenerating codes"

Connected through hyperedge HE-2 (induced by source paper "on the sub packetization size and the repair bandwidth of reed solomon codes"):
  with members:
    - "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"
    - "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"
    - "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-3 (induced by source paper "a tradeoff between the sub packetization size and the repair bandwidth for reed solomon codes"):
  with members:
    - "a systematic construction of mds codes with small sub packetization level and near optimal repair bandwidth"
    - "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"
    - "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"
    - "progress on high rate msr codes enabling arbitrary number of helper nodes"
    - "repairing reed solomon codes with multiple erasures"

Connected through hyperedge HE-4 (induced by source paper "determinant codes with helper independent repair for single and multiple failures"):
  with members:
    - "cooperative repair constructions of optimal mds codes for all admissible parameters"
    - "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"
    - "explicit constructions of optimal access mds codes with nearly optimal sub packetization"
    - "shortened regenerating codes"
    - "the storage repair bandwidth trade off of exact repair linear regenerating codes for the case d k n 1"
    - "layered exact repair regenerating codes via embedded error correction and block designs"
    - "new codes and inner bounds for exact repair in distributed storage systems"

Connected through hyperedge HE-5 (induced by source paper "capacity of wireless distributed storage systems with broadcast repair"):
  with members:
    - "the storage versus repair bandwidth trade off for clustered storage systems"
    - "wireless device to device caching networks basic principles and system performance"
    - "distributed storage in mobile wireless networks with device to device communication"
    - "broadcast repair for wireless distributed storage systems"
    - "explicit constructions of high rate mds array codes with optimal repair bandwidth"
    - "centralized repair of multiple node failures with applications to communication efficient secret sharing"
    - "space time storage codes for wireless distributed storage systems"
    - "network coding for energy efficient distributed storage system in wireless sensor networks"

Connected through hyperedge HE-6 (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"
    - "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"
    - "centralized repair of multiple node failures with applications to communication efficient secret sharing"

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)