Geodesic
On cubic bi-Cayley graphs of p-groups
Ars Mathematica Contemporanea, Tome 23 (2023) no. 4, article no. 09, 18 p.

Voir la notice de l'article provenant de la source Ars Mathematica Contemporanea website

A graph is called a Cayley graph (or bi-Cayley graph, respectively) of a group G if it has a group G of automorphisms acting semiregularly on the vertices with exactly one orbit (or two orbits, respectively). It is known every Cayley graph is vertex-transitive. In this paper, we first present a classification of connected cubic non-Cayley vertex-transitive bi-Cayley graphs of a finite p-group H, where p > 3 is a prime and the derived subgroup of H is either cyclic or isomorphic to Zp × Zp. This is then used to give a classification of connected cubic non-Cayley vertex-transitive graphs of order 2p4 for each prime p.
DOI : 10.26493/1855-3974.2815.1e7
Keywords: Bi-Cayley graph, vertex-transitive, non-Cayley 
@article{10_26493_1855_3974_2815_1e7,
     author = {Na Li and Young Soo Kwon and Jin-Xin Zhou},
     title = {On cubic {bi-Cayley} graphs of p-groups},
     journal = {Ars Mathematica Contemporanea},
     eid = {09},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {2023},
     doi = {10.26493/1855-3974.2815.1e7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2815.1e7/}
}
TY  - JOUR
AU  - Na Li
AU  - Young Soo Kwon
AU  - Jin-Xin Zhou
TI  - On cubic bi-Cayley graphs of p-groups
JO  - Ars Mathematica Contemporanea
PY  - 2023
VL  - 23
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2815.1e7/
DO  - 10.26493/1855-3974.2815.1e7
LA  - en
ID  - 10_26493_1855_3974_2815_1e7
ER  - 
%0 Journal Article
%A Na Li
%A Young Soo Kwon
%A Jin-Xin Zhou
%T On cubic bi-Cayley graphs of p-groups
%J Ars Mathematica Contemporanea
%D 2023
%V 23
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2815.1e7/
%R 10.26493/1855-3974.2815.1e7
%G en
%F 10_26493_1855_3974_2815_1e7
Na Li; Young Soo Kwon; Jin-Xin Zhou. On cubic bi-Cayley graphs of p-groups. Ars Mathematica Contemporanea, Tome 23 (2023) no. 4, article  no. 09, 18 p. doi : 10.26493/1855-3974.2815.1e7. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2815.1e7/

Cité par Sources :