The asymptotic number of labelled weakly-connected digraphs with a given number of vertices and edges

نویسندگان

  • Edward A. Bender
  • E. Rodney Canfield
  • Brendan D. McKay
چکیده

Edward A. Benderl Depariment of Mathel1wtics, University of California, San Diego, La Jolla, CA 92093, USA E. Rodney Canfieldl Department of Computer Science, University of Georgia, Athens, GA 30602, USA Brendan D. McKay2 Computer Science Department, Australian National University, GPO Box 4, ACT 2601., Australia In a recent paper, we determined the asymptotic number of labelled connected graphs with a given number of vertices and edges. In this paper, we apply that result to investigate labelled weakly-connected digraphs. In particular, we determine the asymptotic number of them with accuracy uniform over the full range of possibilities for the number of edges.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 6  شماره 

صفحات  -

تاریخ انتشار 1992