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: "beyond the vizing s bound for at most seven colors"
  Abstract: Let $G=(V,E)$ be a simple graph of maximum degree $\Delta$. The edges of $G$ can be colored with at most $\Delta +1$ colors by Vizing's theorem. We study lower bounds on the size of subgraphs of $G$ that can be colored with $\Delta$ colors. #R##N#Vizing's Theorem gives a bound of $\frac{\Delta}{\Delta+1}|E|$. This is known to be tight for cliques $K_{\Delta+1}$ when $\Delta$ is even. However, for $\Delta=3$ it was improved to $26/31|E|$ by Albertson and Haas [Parsimonious edge colorings, Disc. Math. 148, 1996] and later to $6/7|E|$ by Rizzi [Approximating the maximum 3-edge-colorable subgraph problem, Disc. Math. 309, 2009]. It is tight for $B_3$, the graph isomorphic to a $K_4$ with one edge subdivided. #R##N#We improve previously known bounds for $\Delta\in{3,...,7}$, under the assumption that for $\Delta=3,4,6$ graph $G$ is not isomorphic to $B_3$, $K_5$ and $K_7$, respectively. For $\Delta \geq 4$ these are the first results which improve over the Vizing's bound. We also show a new bound for subcubic multigraphs not isomorphic to $K_3$ with one edge doubled. #R##N#In the second part, we give approximation algorithms for the Maximum k-Edge-Colorable Subgraph problem, where given a graph G (without any bound on its maximum degree or other restrictions) one has to find a k-edge-colorable subgraph with maximum number of edges. In particular, when G is simple for k=3,4,5,6,7 we obtain approximation ratios of 13/15, 9/11, 19/22, 23/27 and 22/25, respectively. We also present a 7/9-approximation for k=3 when G is a multigraph. The approximation algorithms follow from a new general framework that can be used for any value of k.

Connected through hyperedge HE-1 (induced by source paper "maximum edge colorable subgraph and strong triadic closure parameterized by distance to low degree graphs"):
  with members:
    - "on the relation of strong triadic closure and cluster deletion"
    - "parameterized aspects of strong subgraph closure"
    - "your rugby mates don t need to know your colleagues triadic closure with edge colors"
    - "maximizing the strong triadic closure in split graphs and proper interval graphs"

Connected through hyperedge HE-2 (induced by source paper "on the fixed parameter tractability of the maximum 2 edge colorable subgraph problem"):
  with members:
    - "on maximum k edge colorable subgraphs of bipartite graphs"
    - "on disjoint matchings in cubic graphs maximum 2 edge colorable and maximum 3 edge colorable subgraphs"
    - "on disjoint matchings in cubic graphs"

Connected through hyperedge HE-3 (induced by source paper "on maximum k edge colorable subgraphs of bipartite graphs"):
  with members:
    - "on disjoint matchings in cubic graphs maximum 2 edge colorable and maximum 3 edge colorable subgraphs"
    - "on disjoint matchings in cubic graphs"
    - "on parsimonious edge colouring of graphs with maximum degree three"

Connected through hyperedge HE-4 (induced by source paper "graphs disjoint matchings and some inequalities"):
  with members:
    - "on disjoint matchings in cubic graphs maximum 2 edge colorable and maximum 3 edge colorable subgraphs"
    - "on disjoint matchings in cubic graphs"
    - "on parsimonious edge colouring of graphs with maximum degree three"

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.DS(Data Structures and Algorithms)