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 "a dijkstra based efficient algorithm for finding a shortest non zero path in group labeled graphs"):
  Abstract: The parity constrained shortest path problem is a well-known variant that is tractable via weighted matching if a graph is undirected and has nonnegative edge length. As a generalization, we focus on the problem of finding a shortest non-zero path between two specified vertices $s$ and $t$ in a given group-labeled graph. #R##N#For the case when the group $\Gamma$ in question is finite and abelian, Kobayashi and Toyooka (2017) proposed a randomized, pseudopolynomial-time algorithm via permanent computation. For a slightly more general case when $\Gamma$ is finitely generated and abelian, Yamaguchi (2016) showed a reduction of the problem to the weighted linear matroid parity problem. In particular, some cases are solved in strongly polynomial time via the reduction with the aid of a deterministic, polynomial-time algorithm for the weighted linear matroid parity problem due to Iwata and Kobayashi (2017), which generalizes the aforementioned fact that the parity constrained shortest path problem in undirected graphs is solved via weighted matching. #R##N#In this paper, as the first general solution independently of the group $\Gamma$, we present a rather simple, deterministic, and strongly polynomial-time algorithm for the shortest non-zero path problem in group-labeled graphs. The basic strategy is as follows: we first compute a shortest path tree rooted at $s$, and if the unique $s$--$t$ path in the tree is not non-zero, then we find a shortest $s$--$t$ path among those who have different labels. The former part is done just by Dijkstra's algorithm, and the key technique in the latter part is like Edmonds' blossom shrinking algorithm for matching problems.

Includes members:
  Member "a weighted linear matroid parity algorithm":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a strongly polynomial algorithm for finding a shortest non zero path in group labeled graphs")
  Member "the half integral erdos posa property for non null cycles":
    also connected through other hyperedges:
      (none)

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)