Coloração completa não-própria forte em grafos split

A strong complete non-proper coloring (SCNP coloring) of a graph 𝐺 is an assign ment of colors to the vertices of 𝐺 such that each possible combination of two colors (𝑐1, 𝑐2) is assigned to at least one pair of adjacent vertices of 𝐺, even when 𝑐1 = 𝑐2. The strong pseudoachromatic number of 𝐺 is the...

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Autor principal: Correa, Aleff Renan Pereira
Formato: Trabalho de Conclusão de Curso (Graduação)
Idioma: Português
Publicado em: Universidade Tecnológica Federal do Paraná 2021
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Acesso em linha: http://repositorio.utfpr.edu.br/jspui/handle/1/26478
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Resumo: A strong complete non-proper coloring (SCNP coloring) of a graph 𝐺 is an assign ment of colors to the vertices of 𝐺 such that each possible combination of two colors (𝑐1, 𝑐2) is assigned to at least one pair of adjacent vertices of 𝐺, even when 𝑐1 = 𝑐2. The strong pseudoachromatic number of 𝐺 is the maximum number of colors for which 𝐺 has a SCNP coloring. In this document, we determine the strong pseudoachromatic number of split graphs.