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: "byzantine approximate agreement on graphs"
  Abstract: Consider a distributed system with $n$ processors out of which $f$ can be Byzantine faulty. In the approximate agreement task, each processor $i$ receives an input value $x_i$ and has to decide on an output value $y_i$ such that #R##N#- the output values are in the convex hull of the non-faulty processors' input values, #R##N#- the output values are within distance $d$ of each other. #R##N#Classically, the values are assumed to be from an $m$-dimensional Euclidean space, where $m \ge 1$. #R##N#In this work, we study the task in a discrete setting, where input values with some structure expressible as a graph. Namely, the input values are vertices of a finite graph $G$ and the goal is to output vertices that are within distance $d$ of each other in $G$, but still remain in the graph-induced convex hull of the input values. For $d=0$, the task reduces to consensus and cannot be solved with a deterministic algorithm in an asynchronous system even with a single crash fault. For any $d \ge 1$, we show that the task is solvable in asynchronous systems when $G$ is chordal and $n > (\omega+1)f$, where $\omega$ is the clique number of~$G$. In addition, we give the first Byzantine-tolerant algorithm for a variant of lattice agreement. For synchronous systems, we show tight resilience bounds for the exact variants of these and related tasks over a large class of combinatorial structures.

Connected through hyperedge HE-1 (induced by source paper "synchronous byzantine lattice agreement in o log f rounds"):
  with members:
    - "byzantine lattice agreement in synchronous systems"
    - "byzantine generalized lattice agreement"
    - "linearizable state machine replication of state based crdts without logs"
    - "lattice agreement in message passing systems"
    - "line recovery by programmable particles"
    - "population protocols with faulty interactions the impact of a leader"
    - "simple gradecast based algorithms"

Connected through hyperedge HE-2 (induced by source paper "byzantine lattice agreement in synchronous systems"):
  with members:
    - "synchronous byzantine lattice agreement in o log f rounds"
    - "byzantine generalized lattice agreement"
    - "linearizable state machine replication of state based crdts without logs"
    - "lattice agreement in message passing systems"
    - "linearizable replicated state machines with lattice agreement"
    - "simple gradecast based algorithms"

Connected through hyperedge HE-3 (induced by source paper "byzantine generalized lattice agreement"):
  with members:
    - "conflict free replicated data types crdts"
    - "lattice agreement in message passing systems"
    - "linearizable replicated state machines with lattice agreement"

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.DC(Distributed, Parallel, and Cluster Computing)