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: "linear network coding linear index coding and representable discrete polymatroids"
  Abstract: Discrete polymatroids are the multi-set analogue of matroids. In this paper, we explore the connections among linear network coding, linear index coding and representable discrete polymatroids. We consider vector linear solutions of networks over a field $\mathbb{F}_q,$ with possibly different message and edge vector dimensions, which are referred to as linear fractional solutions. We define a \textit{discrete polymatroidal} network and show that a linear fractional solution over a field $\mathbb{F}_q,$ exists for a network if and only if the network is discrete polymatroidal with respect to a discrete polymatroid representable over $\mathbb{F}_q.$ An algorithm to construct networks starting from certain class of discrete polymatroids is provided. Every representation over $\mathbb{F}_q$ for the discrete polymatroid, results in a linear fractional solution over $\mathbb{F}_q$ for the constructed network. Next, we consider the index coding problem and show that a linear solution to an index coding problem exists if and only if there exists a representable discrete polymatroid satisfying certain conditions which are determined by the index coding problem considered. El Rouayheb et. al. showed that the problem of finding a multi-linear representation for a matroid can be reduced to finding a \textit{perfect linear index coding solution} for an index coding problem obtained from that matroid. We generalize the result of El Rouayheb et. al. by showing that the problem of finding a representation for a discrete polymatroid can be reduced to finding a perfect linear index coding solution for an index coding problem obtained from that discrete polymatroid.

Connected through hyperedge HE-1 (induced by source paper "linear network coding effects of varying the message dimension on the set of characteristics"):
  with members:
    - "linear network coding over rings part ii vector codes and non commutative alphabets"
    - "linear network coding over rings part i scalar codes and commutative alphabets"
    - "capacity and achievable rate regions for linear network coding over ring alphabets"
    - "on the message dimensions of vector linearly solvable networks"
    - "on base field of linear network coding"
    - "on vector linear solvability of multicast networks"
    - "vector network coding based on subspace codes outperforms scalar linear network coding"
    - "multicast network coding and field sizes"

Connected through hyperedge HE-2 (induced by source paper "capacity and achievable rate regions for linear network coding over ring alphabets"):
  with members:
    - "linear network coding over rings part ii vector codes and non commutative alphabets"
    - "linear network coding over rings part i scalar codes and commutative alphabets"
    - "a class of non linearly solvable networks"
    - "on vector linear solvability of multicast networks"
    - "on achievability of an r l fractional linear network code"
    - "the two unicast problem"
    - "characteristic dependent linear rank inequalities with applications to network coding"
    - "achievable rate regions for network coding"

Connected through hyperedge HE-3 (induced by source paper "a class of non linearly solvable networks"):
  with members:
    - "on the message dimensions of vector linearly solvable networks"
    - "on vector linear solvability of multicast networks"
    - "vector network coding based on subspace codes outperforms scalar linear network coding"
    - "multicast network coding and field sizes"
    - "on network coding for sum networks"
    - "lexicographic products and the power of non linear network coding"
    - "path gain algebraic formulation for the scalar linear network coding problem"
    - "a simple necessary and sufficient condition for the double unicast problem"

Connected through hyperedge HE-4 (induced by source paper "generalized index coding problem and discrete polymatroids"):
  with members:
    - "error correcting functional index codes generalized exclusive laws and graph coloring"
    - "index coding with coded side information"
    - "optimal index codes for a class of multicast networks with receiver side information"
    - "on the index coding problem and its relation to network coding and matroid theory"

Connected through hyperedge HE-5 (induced by source paper "constrained linear representability of polymatroids and algorithms for computing achievability proofs in network coding"):
  with members:
    - "on multi source networks enumeration rate region computation and hierarchy"
    - "mapping the region of entropic vectors with support enumeration information geometry"
    - "characterizing the rate region of the 4 3 3 exact repair regenerating codes"
    - "path gain algebraic formulation for the scalar linear network coding problem"
    - "a projection method for derivation of non shannon type information inequalities"

Connected through hyperedge HE-6 (induced by source paper "on achievability of an r l fractional linear network code"):
  with members:
    - "on the message dimensions of vector linearly solvable networks"
    - "on vector linear solvability of multicast networks"
    - "scalar linear solvability of matroidal networks associated with representable matroids"

Connected through hyperedge HE-7 (induced by source paper "error correcting index codes and matroids"):
  with members:
    - "error correction for index coding with side information"
    - "on the index coding problem and its relation to network coding and matroid theory"

Connected through hyperedge HE-8 (induced by source paper "on deterministic linear network coded broadcast and its relation to matroid theory"):
  with members:
    - "on throughput and decoding delay performance of instantly decodable network coding"
    - "an equivalence between network coding and index coding"
    - "round robin streaming with generations"
    - "generation of innovative and sparse encoding vectors for broadcast systems with feedback"
    - "online network coding for optimal throughput and delay the three receiver case"
    - "on the index coding problem and its relation to network coding and matroid theory"

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)