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 influence of the interaction graph on a finite dynamical system"):
  Abstract: A finite dynamical system (FDS) is a system of multivariate functions over a finite alphabet, that is typically used to model a network of interacting entities. The main feature of a finite dynamical system is its interaction graph, which indicates which local functions depend on which variables; the interaction graph is a qualitative representation of the interactions amongst entities on the network. As such, a major problem is to determine the effect of the interaction graph on the dynamics of the FDS. In this paper, we are interested in three main properties of an FDS: the number of images (the so-called rank), the number of periodic points (the so-called periodic rank) and the number of fixed points. In particular, we investigate the minimum, average, and maximum number of images (or periodic points, or fixed points) of FDSs with a prescribed interaction graph and a given alphabet size; thus yielding nine quantities to study. The paper is split into two parts. The first part considers the minimum rank, for which we derive the first meaningful results known so far. In particular, we show that the minimum rank decreases with the alphabet size, thus yielding the definition of an absolute minimum rank. We obtain lower and upper bounds on this absolute minimum rank, and we give classification results for graphs with very low (or highest) rank. The second part is a comprehensive survey of the results obtained on the nine quantities described above. We not only give a review of known results, but we also give a list of relevant open questions.

Includes members:
  Member "guessing numbers of odd cycles":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "explicit polyhedral bounds on network coding rate regions via entropy function region algorithms symmetry and computation")
  Member "simple dynamics on graphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "simulation of automata networks")
  Member "on the possible values of the entropy of undirected graphs":
    also connected through other hyperedges:
      (none)
  Member "complete simulation of automata networks":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "simulation of automata networks")
  Member "fixed points of boolean networks guessing graphs and coding theory":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "storage capacity as an information theoretic vertex cover and the index coding rate")
  Member "reduction and fixed points of boolean networks and linear network coding solvability":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "asynchronous simulation of boolean networks by monotone boolean networks")
  Member "graph theoretical constructions for graph entropy and network coding based communications":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "characteristic dependent linear rank inequalities via complementary vector spaces")
  Member "a simple necessary and sufficient condition for the double unicast problem":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "on the degrees of freedom of two unicast wireless networks with delayed csit")

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.DM(Discrete Mathematics)