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 "the salesman s improved paths 3 2 1 34 integrality gap and approximation ratio"):
  Abstract: We give a new, strongly polynomial algorithm and improved analysis of the metric $s-t$ path TSP. The algorithm finds a tour of cost less than 1.53 times the optimum of the subtour elimination LP, while known examples show that 1.5 is a lower bound for the integrality gap. #R##N#A key new idea is the deletion of some edges, where the arising connectivity problems can be solved for a minor extra cost. On the one hand our algorithm and analysis extend previous tools, at the same time simplifying the framework. On the other hand new tools are introduced, such as a linear program that allows us to efficiently choose the probabilities of edges used for analyzing the reconnection cost and a new way of applying the matroid partition theorem and algorithm to different matroids, in order to write the subtour elimination optimum as a particular convex combination of spanning trees. #R##N#Furthermore, the 3/2 target-bound is easily reached in some relevant new cases.

Includes members:
  Member "better s t tours by gao trees":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "reducing path tsp to tsp")
  Member "reassembling trees for the traveling salesman":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "reducing path tsp to tsp")
  Member "on the metric s t path traveling salesman problem":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "a 1 5 approximation for path tsp")
  Member "approximating minimum cost connected t joins":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "constant factor approximation algorithms for parity constrained facility location problems")

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)