On the connectivity of randomm-orientable graphs and digraphs

Abstract

We consider graphs and digraphs obtained by randomly generating a prescribed number of arcs incident at each vertex.

We analyse their almost certain connectivity and apply these results to the expected value of random minimum length spanning trees and arborescences.

We also examine the relationship between our results and certain results of Erdős and Rényi.

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Fenner, T.I., Frieze, A.M. On the connectivity of randomm-orientable graphs and digraphs. Combinatorica 2, 347–359 (1982). https://doi.org/10.1007/BF02579431

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AMS subject classification (1980)

  • 05 C 40
  • 60 C 05