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 "on bounds on bend number of classes of split and cocomparability graphs"):
  Abstract: A \emph{$k$-bend path} is a rectilinear curve made up of $k + 1$ line segments. A \emph{$B_k$-VPG representation} of a graph is a collection of $k$-bend paths such that each path in the collection represents a vertex of the graph and two such paths intersect if and only if the vertices they represent are adjacent in the graph. The graphs that have a $B_k$-VPG representation are called \emph{$B_k$-VPG graphs}. In this paper, we address the open question posed by Chaplick et al. ({\textsc{wg 2012}}) asking whether $B_k$-VPG-chordal $\subsetneq$ $B_{k+1}$-VPG-chordal for all $k \in \mathbb{N}$, where $B_k$-VPG denotes the class of graphs with bend number at most $k$. We prove there are infinitely many $m \in \mathbb{N}$ such that $B_m$-VPG-split $\subsetneq$ $B_{m+1}$-VPG-split which provides infinitely many positive examples with respect to the open question. We also prove that for all $t \in \mathbb{N}$, $B_t$-VPG-$Forb(C_{\geq 5})$ $\subsetneq$ $B_{4t+29}$-VPG-$Forb(C_{\geq 5})$ where $Forb(C_{\geq 5})$ denotes the family of graphs that does not contain induced cycles of length greater than 4. Furthermore, we show that $PB_t$-VPG-split $\subsetneq PB_{36t+80}$-VPG-split. for all $t \in \mathbb{N}$, where $PB_t$-VPG denotes the class of graphs with proper bend number at most $t$. In this paper, we study the relationship between poset dimension and its bend number. It is known that the poset dimension $dim(G)$ of a cocomparability graph $G$ is greater than or equal to its bend number $bend(G)$. Cohen et al. ({\textsc{order 2015}}) asked for examples of cocomparability graphs with low bend number and high poset dimension. We answer the above open question by proving that for each $m, t \in \mathbb{N}$, there exists a cocomparability graph $G_{t,m}$ with $t < bend(G_{t,m}) \leq 4t+29$ and $dim(G_{t,m})-bend(G_{t,m})$ is greater than $m$.

Includes members:
  Member "planar graphs as l intersection or l contact graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "shorter labeling schemes for planar graphs")
  Member "approximation algorithms for independence and domination on b 1 vpg and b 1 epg graphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "computing maximum independent set on outerstring graphs and their relatives")
  Member "1 string b_2 vpg representation of planar graphs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "order preserving 1 string representations of planar graphs")

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)