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: "colorful linear programming nash equilibrium and pivots"
  Abstract: The colorful Carath\'eodory theorem, proved by B\'ar\'any in 1982, states that given $d+1$ sets of points $S_1,\ldots,S_{d+1}$ in $\mathbb R^d$, such that each $S_i$ contains $0$ in its convex hull, there exists a set $T\subseteq\bigcup_{i=1}^{d+1}S_i$ containing $0$ in its convex hull and such that $|T\cap S_i|\leq 1$ for all $i\in\{1,\ldots,d+1\}$. An intriguing question -- still open -- is whether such a set $T$, whose existence is ensured, can be found in polynomial time. In 1997, B\'ar\'any and Onn defined colorful linear programming as algorithmic questions related to the colorful Carath\'eodory theorem. The question we just mentioned comes under colorful linear programming. #R##N#We present new complexity results for colorful linear programming problems and propose a variant of the "B\'ar\'any-Onn" algorithm, which is an algorithm computing a set $T$ whose existence is ensured by the colorful Carath\'eodory theorem. Our algorithm makes a clear connection with the simplex algorithm. Some combinatorial versions of the colorful Carath\'eodory theorem are also discussed from an algorithmic point of view. Finally, we show that computing a Nash equilibrium in a bimatrix game is polynomially reducible to a colorful linear programming problem. On our track, we found a new way to prove that a complementarity problem belongs to the PPAD class with the help of Sperner's lemma.

Connected through hyperedge HE-1 (induced by source paper "computational aspects of the colorful caratheodory theorem"):
  with members:
    - "the rainbow at the end of the line a ppad formulation of the colorful carath eodory theorem with applications"
    - "approximating tverberg points in linear time for any fixed dimension"
    - "a further generalization of the colourful caratheodory theorem"

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.DM(Discrete Mathematics)