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Packing large balanced trees into bipartite graphs

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Autor(es):
Fernandes, Cristina G. ; Naia, Tassio ; Santos, Giovanne ; Stein, Maya
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: DISCRETE MATHEMATICS; v. 348, n. 12, p. 8-pg., 2025-12-01.
Resumo

We prove that for every gamma>0 there exists n(0)is an element of N such that for every n >= n(0) any family of up to n(1/2-gamma) trees having at most (1-gamma)n vertices in each bipartition class can be packed into K-n,K-n. As a tool for our proof, we show an approximate bipartite version of the Koml & oacute;s-S & aacute;rk & ouml;zy-Szemer & eacute;di Theorem, which we believe to be of independent interest. (c) 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies. (AU)

Processo FAPESP: 19/13364-7 - Problemas extremais e estruturais em teoria dos grafos
Beneficiário:Cristina Gomes Fernandes
Modalidade de apoio: Auxílio à Pesquisa - Regular