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 multiple unicast capacity of 3 source 3 terminal directed acyclic networks"):
  Abstract: We consider the multiple unicast problem with three source-terminal pairs over directed acyclic networks with unit-capacity edges. The three $s_i-t_i$ pairs wish to communicate at unit-rate via network coding. The connectivity between the $s_i - t_i$ pairs is quantified by means of a connectivity level vector, $[k_1 k_2 k_3]$ such that there exist $k_i$ edge-disjoint paths between $s_i$ and $t_i$. In this work we attempt to classify networks based on the connectivity level. It can be observed that unit-rate transmission can be supported by routing if $k_i \geq 3$, for all $i = 1, \dots, 3$. In this work, we consider, connectivity level vectors such that $\min_{i = 1, \dots, 3} k_i < 3$. We present either a constructive linear network coding scheme or an instance of a network that cannot support the desired unit-rate requirement, for all such connectivity level vectors except the vector $[1~2~4]$ (and its permutations). The benefits of our schemes extend to networks with higher and potentially different edge capacities. Specifically, our experimental results indicate that for networks where the different source-terminal paths have a significant overlap, our constructive unit-rate schemes can be packed along with routing to provide higher throughput as compared to a pure routing approach.

Includes members:
  Member "a note on the multiple unicast capacity of directed acyclic networks":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the two unicast problem")
  Member "an achievable region for the double unicast problem based on a minimum cut analysis":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "zero error function computation on a directed acyclic network")
  Member "communicating the sum of sources over a network":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "two way function computation")
  Member "network coding for multiple unicasts an interference alignment approach":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "alignment based network coding for two unicast z networks")
  Member "overlay protection against link failures using network coding":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "energy efficient routing and network coding in core networks")
  Member "a simple necessary and sufficient condition for the double unicast problem":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on the degrees of freedom of two unicast wireless networks with delayed csit")
  Member "protection against link errors and failures using network coding":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "an achievable region for the double unicast problem based on a minimum cut analysis")

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)