• Corpus ID: 245144909

Limit of connected multigraph with fixed degree sequence

  title={Limit of connected multigraph with fixed degree sequence},
  author={Arthur Blanc-Renaudie},
Motivated by the scaling limits of the connected components of the configuration model, we study uniform connected multigraphs with fixed degree sequence D and with surplus k. We call those random graphs (D, k)-graphs. We prove that, for every k ∈ N, under natural conditions of convergence of the degree sequence, (D, k)-graphs converge toward either (P , k)-graphs or (Θ, k)-ICRG (inhomogeneous continuum random graphs). We prove similar results for (P , k)-graphs and (Θ, k)-ICRG, which have… 

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Generating random spanning trees

  • A. Broder
  • Computer Science, Mathematics
    30th Annual Symposium on Foundations of Computer Science
  • 1989
It is shown that the Markov chain on the space of all spanning trees of a given graph where the basic step is an edge swap is rapidly mixing.