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 "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.

Includes members:
  Member "lattice agreement in message passing systems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "synchronous byzantine lattice agreement in o log f rounds")
  Member "self stabilising byzantine clock synchronisation is almost as easy as consensus":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "fault tolerant gradient clock synchronization")
  Member "near optimal self stabilising counting and firing squads":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "self stabilising byzantine clock synchronisation is almost as easy as consensus")
  Member "byzantine vector consensus in complete graphs":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "determining r and r s robustness of digraphs using mixed integer linear programming")
  Member "easy impossibility proofs for k set agreement in message passing systems":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "effects of topology knowledge and relay depth on asynchronous consensus")

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.DC(Distributed, Parallel, and Cluster Computing)