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 "on the solvability of 3 source 3 terminal sum networks"):
  Abstract: We consider a directed acyclic network with three sources and three terminals such that each source independently generates one symbol from a given field $F$ and each terminal wants to receive the sum (over $F$) of the source symbols. Each link in the network is considered to be error-free and delay-free and can carry one symbol from the field in each use. We call such a network a 3-source 3-terminal {\it $(3s/3t)$ sum-network}. In this paper, we give a necessary and sufficient condition for a $3s/3t$ sum-network to allow all the terminals to receive the sum of the source symbols over \textit{any} field. Some lemmas provide interesting simpler sufficient conditions for the same. We show that linear codes are sufficient for this problem for $3s/3t$ though they are known to be insufficient for arbitrary number of sources and terminals. We further show that in most cases, such networks are solvable by simple XOR coding. We also prove a recent conjecture that if fractional coding is allowed, then the coding capacity of a $3s/3t$ sum-network is either $0,2/3$ or $\geq 1$.

Includes members:
  Member "communicating the sum of sources over a network":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "two way function computation")
  Member "feasible alphabets for communicating the sum of sources over a network":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on the solvability of 3s nt sum network a region decomposition and weak decentralized code method")
  Member "a simple necessary and sufficient condition for the double unicast problem":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on the degrees of freedom of two unicast wireless networks with delayed csit")
  Member "some bounds on the capacity of communicating the sum of sources":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on the solvability of 3s nt sum network a region decomposition and weak decentralized code method")
  Member "some results on communicating the sum of sources over a network":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "sum networks dependency on characteristic of the finite field under linear network coding")
  Member "on distributed computation in noisy random planar networks":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "broadcasting in noisy radio networks")

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)