Given a class of finite groups, we consider the graph Σ(G) whose vertices are the elements of G and where two vertices g,h G are adjacent if and only if g,h. Moreover, we denote by (G) the set of the isolated vertices of (G) and by (G) the graph obtained from (G) by deleting the isolated vertices. We address the following question: to what extent the fact that (H) is a subgroup of H for any H ≤ G, implies that the graph (G) is connected?
Semiregularity and connectivity of the non-graph of a finite group
Lucchini A.;Nemmi D.
2023
Abstract
Given a class of finite groups, we consider the graph Σ(G) whose vertices are the elements of G and where two vertices g,h G are adjacent if and only if g,h. Moreover, we denote by (G) the set of the isolated vertices of (G) and by (G) the graph obtained from (G) by deleting the isolated vertices. We address the following question: to what extent the fact that (H) is a subgroup of H for any H ≤ G, implies that the graph (G) is connected?
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
semiregularity.pdf
accesso aperto
Tipologia:
Published (Publisher's Version of Record)
Licenza:
Accesso gratuito
Dimensione
279.93 kB
Formato
Adobe PDF
|
279.93 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
