Enumeration of labeled connected graphs with given order and size
- Autores: Voblyi V.A.1
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Afiliações:
- Bauman Moscow State Technical University
- Edição: Volume 10, Nº 2 (2016)
- Páginas: 302-310
- Seção: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/212383
- DOI: https://doi.org/10.1134/S1990478916020149
- ID: 212383
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Resumo
We deduce a new formula for the number of labeled connected graphs with given order and number of edges in terms of the block generating function. Applying this formula, we exactly and asymptotically enumerate cacti with given order and cyclomatic number.
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Sobre autores
V. Voblyi
Bauman Moscow State Technical University
Autor responsável pela correspondência
Email: vitvobl@yandex.ru
Rússia, Vtoraya Baumanskaya ul. 5, Moscow, 105005
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