Geodesic
Growth rates for subclasses of Av(321)
The electronic journal of combinatorics, Tome 17 (2010)
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Pattern classes which avoid $321$ and other patterns are shown to have the same growth rates as similar (but strictly larger) classes obtained by adding articulation points to any or all of the other patterns. The method of proof is to show that the elements of the latter classes can be represented as bounded merges of elements of the original class, and that the bounded merge construction does not change growth rates.
DOI : 10.37236/413
Classification : 05A05, 05A16 
@article{10_37236_413,
     author = {M. H. Albert and M. D. Atkinson and R. Brignall and N. Ru\v{s}kuc and Rebecca Smith and J. West},
     title = {Growth rates for subclasses of {Av(321)}},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/413},
     zbl = {1201.05003},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/413/}
}
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M. H. Albert; M. D. Atkinson; R. Brignall; N. Ruškuc; Rebecca Smith; J. West. Growth rates for subclasses of Av(321). The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/413

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