Interesting Esoterica

A catalog of matchstick graphs

Article by Raffaele Salvia
  • Published in 2013
  • Added on
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Classification of planar unit-distance graphs with up to 9 edges, by homeomorphism and isomorphism classes. With exactly nine edges, there are 633 nonisomorphic connected matchstick graphs, of which 196 are topologically distinct from each other. Increasing edges' number, their quantities rise more than exponentially, in a still unclear way.

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key
Acatalogofmatchstickgraphs
type
article
date_added
2022-02-16
date_published
2013-09-14

BibTeX entry

@article{Acatalogofmatchstickgraphs,
	key = {Acatalogofmatchstickgraphs},
	type = {article},
	title = {A catalog of matchstick graphs},
	author = {Raffaele Salvia},
	abstract = {Classification of planar unit-distance graphs with up to 9 edges, by
homeomorphism and isomorphism classes. With exactly nine edges, there are 633
nonisomorphic connected matchstick graphs, of which 196 are topologically
distinct from each other. Increasing edges' number, their quantities rise more
than exponentially, in a still unclear way.},
	comment = {},
	date_added = {2022-02-16},
	date_published = {2013-09-14},
	urls = {http://arxiv.org/abs/1303.5965v5,http://arxiv.org/pdf/1303.5965v5},
	collections = {lists-and-catalogues},
	url = {http://arxiv.org/abs/1303.5965v5 http://arxiv.org/pdf/1303.5965v5},
	year = 2013,
	urldate = {2022-02-16},
	archivePrefix = {arXiv},
	eprint = {1303.5965},
	primaryClass = {math.CO}
}