The degree distribution in unlabelled $2$-connected graph families
2010 ◽
Vol DMTCS Proceedings vol. AM,...
(Proceedings)
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Keyword(s):
International audience We study the random variable $X_n^k$, counting the number of vertices of degree $k$ in a randomly chosen $2$-connected graph of given families. We prove a central limit theorem for $X_n^k$ with expected value $\mathbb{E}X_n^k \sim \mu_kn$ and variance $\mathbb{V}X_n^k \sim \sigma_k^2n$, both asymptotically linear in $n$, for both rooted and unrooted unlabelled $2$-connected outerplanar or series-parallel graphs.
2006 ◽
Vol DMTCS Proceedings vol. AG,...
(Proceedings)
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Keyword(s):
2018 ◽
Vol 55
(4)
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pp. 1287-1308
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2016 ◽
Vol 48
(3)
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pp. 865-902
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Keyword(s):
Keyword(s):
2008 ◽
Vol DMTCS Proceedings vol. AI,...
(Proceedings)
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1998 ◽
Vol 01
(02)
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pp. 221-246
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2012 ◽
Vol 49
(2)
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pp. 521-530
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2018 ◽
Vol 18
(2)
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pp. 345-356
2005 ◽
Vol DMTCS Proceedings vol. AE,...
(Proceedings)
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Keyword(s):
2021 ◽
pp. 59-69