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The asymptotic number of claw-free cubic graphs
Authors:Brendan D McKay  Ronald C Read
Institution:a Computer Science Department, Australian National University, Canberra, ACT 0200, Australia
b Department of Mathematics, Michigan State University, East Lansing, MI 48824-1027, USA
c Department of Combinatorics and Optimization, Faculty of Mathematics, University of Waterloo, Waterloo, Ont., Canada N2L 3G1
d Computer Science Department, University of Georgia, Athens, GA 30602-7404, USA
Abstract:Let Hn be the number of claw-free cubic graphs on 2n labeled nodes. In an earlier paper we characterized claw-free cubic graphs and derived a recurrence relation for Hn. Here we determine the asymptotic behavior of this sequence:
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Keywords:Cubic graphs  Claw-free  Asymptotic enumeration
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