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

 

Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφέας: Boaventura-Netto, Paulo Oswaldo
Μορφή: artículo original
Κατάσταση:Versión publicada
Ημερομηνία έκδοσης:2015
Περιγραφή: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.
Χώρα:Portal de Revistas UCR
Ίδρυμα:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Γλώσσα:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/20836
Διαθέσιμο Online:https://revistas.ucr.ac.cr/index.php/matematica/article/view/20836
Λέξη-Κλειδί :grafos
irregularidad
medidas de irregularidad
extensiones de grafos
Graphs
irregularity
irregularity measures
graph extensions