Irregularidad de grafos: Discusión, extensiones de grafos y nuevas propuestas

 

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Awdur: Boaventura-Netto, Paulo Oswaldo
Fformat: artículo original
Statws:Versión publicada
Dyddiad Cyhoeddi:2015
Disgrifiad:This paper presents some measures of graph irregularity found in the literature. From their discussion two important points appear: first, the absence of relationship between all of them, but a single exception, with the structures of the corresponding graphs and, moreover, their known extremal values correspond to graphs having degree sequences with few different values. Two new measures are proposed, seeking to meet these points. Their values are calculated for extremal graphs associated with other measures and for antiregular graphs. Finally, we calculate the boxplots of all these measures for some sets of graphs taken from the literature and also for four sets where the ordered degree sequences are constant. All measures involved have polynomial complexity.
Gwlad:Portal de Revistas UCR
Sefydliad:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Iaith:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/20836
Mynediad Ar-lein:https://revistas.ucr.ac.cr/index.php/matematica/article/view/20836
Allweddair:grafos
irregularidad
medidas de irregularidad
extensiones de grafos
Graphs
irregularity
irregularity measures
graph extensions