A note on path domination

We study domination between different types of walks connecting two non-adjacent vertices u and v of a graph (shortest paths, induced paths, paths, tolled walks). We succeeded in characterizing those graphs in which every uv-walk of one particular kind dominates every uv-walk of other specific kind....

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Detalles Bibliográficos
Autor principal: Alcón, Liliana Graciela
Formato: Articulo
Lenguaje:Inglés
Publicado: 2016
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/86283
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Sumario:We study domination between different types of walks connecting two non-adjacent vertices u and v of a graph (shortest paths, induced paths, paths, tolled walks). We succeeded in characterizing those graphs in which every uv-walk of one particular kind dominates every uv-walk of other specific kind. We thereby obtained new characterizations of standard graph classes like chordal, interval and superfragile graphs.