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Separating Path Systems in Complete Graphs

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Autor(es):
Fernandes, Cristina G. ; Mota, Guilherme Oliveira ; Sanhueza-Matamala, Nicolas
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: LATIN 2024: THEORETICAL INFORMATICS, PT II; v. 14579, p. 16-pg., 2024-01-01.
Resumo

We prove that in any n-vertex complete graph there is a collection P of (1 + o(1))n paths that strongly separates any pair of distinct edges e, f, meaning that there is a path in P which contains e but not f. Furthermore, for certain classes of n-vertex an-regular graphs we find a collection of (root 3 alpha + 1 - 1+ o(1))n paths that strongly separates any pair of edges. Both results are best-possible up to the o(1) term. (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