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    Degeneracy (graph theory) - Wikipedia

    The degeneracy of a graph is a measure of how sparse it is, and is within a constant factor of other sparsity measures such as the arboricity of a graph. See more

    In graph theory, a k-degenerate graph is an undirected graph in which every subgraph has a vertex of degree at most k: that is, some vertex in the subgraph touches k or fewer of the subgraph's edges. The … See more

    The coloring number of a graph G was defined by Erdős & Hajnal (1966) to be the least κ for which there exists an ordering of the vertices of G in which each vertex has fewer than κ … See more

    If a graph G is oriented acyclically with outdegree k, then its edges may be partitioned into k forests by choosing one forest for each outgoing edge of each node. Thus, the See more

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    Every finite forest has either an isolated vertex (incident to no edges) or a leaf vertex (incident to exactly one edge); therefore, trees and forests are 1-degenerate graphs. Every 1-degenerate graph is a forest.
    Every finite See more

    A k-core of a graph G is a maximal connected subgraph of G in which all vertices have degree at least k. Equivalently, it is one of the connected components of … See more

    Although concepts of degeneracy and coloring number are frequently considered in the context of finite graphs, the original motivation for Erdős … See more

     
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  4. Ramsey numbers of degenerate graphs | Annals of Mathematics

  5. What is the difference between a $k$-degenerate graph and a …

  6. Local antimagic orientations of d -degenerate graphs

  7. Equitable d -degenerate Choosability of Graphs - Springer

  8. How to show that a d-degenerate graph on n vertices has at most

  9. Packing d-degenerate graphs - ScienceDirect

  10. Equitable vertex arboricity of $d$-degenerate graphs - Semantic …

  11. Kernelization hardness of connectivity problems in d-degenerate …

  12. Equitable d -degenerate Choosability of Graphs - National Center …

  13. On Equitable Coloring of d -Degenerate Graphs - SIAM …

  14. On equitable coloring of d-degenerate graphs

  15. [2111.05908] Weak degeneracy of graphs - arXiv.org

  16. Packing degenerate graphs - ScienceDirect

  17. [1505.04773] Ramsey numbers of degenerate graphs - arXiv.org

  18. Graphasing: phasing diploid genome assembly graphs with single …