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Filling more gaps on the edge-coloring problem of split graphs

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O problema da coloração de arestas é provado ser NP-completo no caso geral. Entretanto, para diversas classes de grafos, este problema permanece em aberto. Uma destas classes é a classe dos grafos split. Recentemente, utilizando uma partição desta classe fornecida pelo problema da t-admissibilidade, classificamos os (σ = 2)-grafos split e uma subclasse dos (σ = 3)-grafos split. Neste trabalho, fazemos uma mudança estratégica em um algoritmo anterior. Tal mudança nos possibilita resolver o problema da coloração de arestas para uma subclasse maior dos (σ = 3)-grafos split.
Title: Filling more gaps on the edge-coloring problem of split graphs
Description:
O problema da coloração de arestas é provado ser NP-completo no caso geral.
Entretanto, para diversas classes de grafos, este problema permanece em aberto.
Uma destas classes é a classe dos grafos split.
Recentemente, utilizando uma partição desta classe fornecida pelo problema da t-admissibilidade, classificamos os (σ = 2)-grafos split e uma subclasse dos (σ = 3)-grafos split.
Neste trabalho, fazemos uma mudança estratégica em um algoritmo anterior.
Tal mudança nos possibilita resolver o problema da coloração de arestas para uma subclasse maior dos (σ = 3)-grafos split.

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