The Degree/Diameter Problem for Mixed Abelian Cayley Graphs

This paper investigates the upper bounds for the number of vertices in mixed abelian Cayley graphs with given degree and diameter. Additionally, in the case when the undirected degree is equal to one, we give a construction that provides a lower bound.

Detalles Bibliográficos
Autores: López Lorenzo, Ignacio, Pérez Rosés, Hebert, Pujolàs Boix, Jordi
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2017
País:España
Institución:Universitat de Lleida (UdL)
Repositorio:Repositori Obert UdL
OAI Identifier:oai:repositori.udl.cat:10459.1/62345
Acceso en línea:https://doi.org/10.1016/j.dam.2017.04.018
http://hdl.handle.net/10459.1/62345
Access Level:acceso abierto
Palabra clave:Network design
Degree/Diameter Problem
Abelian Cayley graphs
Descripción
Sumario:This paper investigates the upper bounds for the number of vertices in mixed abelian Cayley graphs with given degree and diameter. Additionally, in the case when the undirected degree is equal to one, we give a construction that provides a lower bound.