The main result of this paper is that, if Γ is a connected 4-valent G-arc-transitive graph and v is a vertex of Γ, then either Γ is part of a well-understood infinite family of graphs, or |Gv|≤2436 or 2|Gv|log2(|Gv|/2)≤|VΓ| and that this last bound is tight. As a corollary, we get a similar result for 3-valent vertex-transitive graphs.

Potočnik, P., Spiga, P., Verret, G. (2015). Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphs. JOURNAL OF COMBINATORIAL THEORY, 111, 148-180 [10.1016/j.jctb.2014.10.002].

Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphs

SPIGA, PABLO
Secondo
;
2015

Abstract

The main result of this paper is that, if Γ is a connected 4-valent G-arc-transitive graph and v is a vertex of Γ, then either Γ is part of a well-understood infinite family of graphs, or |Gv|≤2436 or 2|Gv|log2(|Gv|/2)≤|VΓ| and that this last bound is tight. As a corollary, we get a similar result for 3-valent vertex-transitive graphs.
Articolo in rivista - Articolo scientifico
Arc-transitive; Locally-dihedral; Valency 3; Valency 4; Vertex-transitive; Discrete Mathematics and Combinatorics; Theoretical Computer Science; Computational Theory and Mathematics
English
148
180
33
Potočnik, P., Spiga, P., Verret, G. (2015). Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphs. JOURNAL OF COMBINATORIAL THEORY, 111, 148-180 [10.1016/j.jctb.2014.10.002].
Potočnik, P; Spiga, P; Verret, G
File in questo prodotto:
File Dimensione Formato  
1-s2.0-S0095895614001191-main.pdf

Solo gestori archivio

Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 683.81 kB
Formato Adobe PDF
683.81 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/133239
Citazioni
  • Scopus 23
  • ???jsp.display-item.citation.isi??? 21
Social impact