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Revista Integración

 ISSN 0120-419X ISSN 2145-8472

HUAMANI, N. B.; NASCIMENTO, JOICE S. DO    CONDORI, A.. A new sum of graphs and caterpillar trees. []. , 40, 1, pp.77-85.   24--2022. ISSN 0120-419X.  https://doi.org/10.18273/revint.v40n1-2022004.

Caterpillar trees, or simply Caterpillar, are trees such that when we remove all their leaves (or end edge) we obtain a path. The number of nonisomorphic caterpillars with n ≥ 2 edges is 2 n−3 + 2 ⌊(n−3)/2⌋ . Using a new sum of graphs, introduced in this paper, we provided a new proof of this result.

MSC2010:

05C30, 05C76, 05C05, 05C60.

: Graph; Caterpillar trees; tree graphs; sum of graphs.

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