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 "tsp tours in cubic graphs beyond 4 3"):
  Abstract: After a sequence of improvements Boyd, Sitters, van der Ster, and Stougie proved that any 2-connected graph whose n vertices have degree 3, i.e., a cubic 2-connected graph, has a Hamiltonian tour of length at most (4/3)n, establishing in particular that the integrality gap of the subtour LP is at most 4/3 for cubic 2-connected graphs and matching the conjectured value of the famous 4/3 conjecture. In this paper we improve upon this result by designing an algorithm that finds a tour of length (4/3 - 1/61236)n, implying that cubic 2-connected graphs are among the few interesting classes of graphs for which the integrality gap of the subtour LP is strictly less than 4/3. With the previous result, and by considering an even smaller epsilon, we show that the integrality gap of the TSP relaxation is at most 4/3 - epsilon, even if the graph is not 2-connected (i.e. for cubic connected graphs), implying that the approximability threshold of the TSP in cubic graphs is strictly below 4/3. Finally, using similar techniques we show, as an additional result, that every Barnette graph admits a tour of length at most (4/3 - 1/18)n.

Includes members:
  Member "eight fifth approximation for the path tsp":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "constant factor approximation algorithms for parity constrained facility location problems")
  Member "approximation hardness of graphic tsp on cubic graphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "beating the integrality ratio for s t tours in graphs")
  Member "a 9 7 approximation algorithm for graphic tsp in cubic bipartite graphs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "improved approximations for cubic and cubic bipartite tsp")
  Member "improved inapproximability for tsp":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "travelling on graphs with small highway dimension")
  Member "on the integrality gap of the subtour lp for the 1 2 tsp":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on the integrality ratio of the subtour lp for euclidean tsp")
  Member "improving christofides algorithm for the s t path tsp":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "reducing path tsp to tsp")
  Member "approximating graphic tsp by matchings":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "simple cubic graphs with no short traveling salesman tour")
  Member "a 4 3 approximation for tsp on cubic 3 edge connected graphs":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "graph tsp from steiner cycles")

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.DS(Data Structures and Algorithms)