On bipartite-mixed graphs

Mixed graphs can be seen as digraphs that have both arcs and edges (or digons, that is, two opposite arcs). In this arti- cle, we consider the case where such graphs are bipartite. As main results, we show that in this context the Moore- like bound is attained in the case of diameter k = 3, and that...

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Detalhes bibliográficos
Autores: Dalfó, Cristina, Fiol Mora, Miguel Ángel, López Lorenzo, Ignacio
Tipo de documento: artigo
Estado:Versión aceptada para publicación
Data de publicação:2018
País:España
Recursos:Universitat de Lleida (UdL)
Repositório:Repositori Obert UdL
OAI Identifier:oai:repositori.udl.cat:10459.1/65307
Acesso em linha:https://doi.org/10.1002/jgt.22257
http://hdl.handle.net/10459.1/65307
Access Level:Acceso aberto
Palavra-chave:Degree/diameter problem
Diameter
Mixed graph
Moore bound
Descrição
Resumo:Mixed graphs can be seen as digraphs that have both arcs and edges (or digons, that is, two opposite arcs). In this arti- cle, we consider the case where such graphs are bipartite. As main results, we show that in this context the Moore- like bound is attained in the case of diameter k = 3, and that bipartite-mixed graphs of diameter k ≥ 4 do not exist.