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BICLIQUE IMMERSIONS IN GRAPHS WITH INDEPENDENCE NUMBER 2

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Autor(es):
Botler, F. ; Jimenez, A. ; Lintzmayer, C. N. ; Pastine, A. ; Quiroz, D. A. ; Sambinelli, M.
Número total de Autores: 6
Tipo de documento: Artigo Científico
Fonte: PROCEEDINGS OF THE 12TH EUROPEAN CONFERENCE ON COMBINATORICS, GRAPH THEORY AND APPLICATIONS, EUROCOMB 2023; v. N/A, p. 9-pg., 2023-01-01.
Resumo

The analogue of Hadwiger's Conjecture for the immersion relation states that every graph G contains an immersion of K-chi(G). For graphs with independence number 2, this is equivalent to stating that every such n-vertex graph contains an immersion of K-inverted right perpendicular (n/2) (inverted left perpendicular). We show that every n-vertex graph with independence number 2 contains every complete bipartite graph on inverted right perpendicular n/2 inverted left perpendicular vertices as an immersion. (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