Geodesic
Half-arc-transitive graphs of prime-cube order of small valencies
Ars Mathematica Contemporanea, Tome 13 (2017) no. 2, pp. 343-353.

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

A graph is called half-arc-transitive if its full automorphism group acts transitively on vertices and edges, but not on arcs. It is well known that for any prime p there is no half-arc-transitive graph of order p or p2. In 1992, Xu classified half-arc-transitive graphs of order p3 and valency 4. In this paper we classify half-arc-transitive graphs of order p3 and valency 6 or 8. In particular, the first known infinite family of half-arc-transitive Cayley graphs on non-metacyclic p-groups is constructed.
DOI : 10.26493/1855-3974.964.594
Keywords: Cayley graph, half-arc-transitive graph, automorphism group 
@article{10_26493_1855_3974_964_594,
     author = {Yi Wang and Yan-Quan Feng},
     title = {Half-arc-transitive graphs of prime-cube order of small valencies},
     journal = {Ars Mathematica Contemporanea},
     pages = {343--353},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2017},
     doi = {10.26493/1855-3974.964.594},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.964.594/}
}
TY  - JOUR
AU  - Yi Wang
AU  - Yan-Quan Feng
TI  - Half-arc-transitive graphs of prime-cube order of small valencies
JO  - Ars Mathematica Contemporanea
PY  - 2017
SP  - 343
EP  - 353
VL  - 13
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.964.594/
DO  - 10.26493/1855-3974.964.594
LA  - en
ID  - 10_26493_1855_3974_964_594
ER  - 
%0 Journal Article
%A Yi Wang
%A Yan-Quan Feng
%T Half-arc-transitive graphs of prime-cube order of small valencies
%J Ars Mathematica Contemporanea
%D 2017
%P 343-353
%V 13
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.964.594/
%R 10.26493/1855-3974.964.594
%G en
%F 10_26493_1855_3974_964_594
Yi Wang; Yan-Quan Feng. Half-arc-transitive graphs of prime-cube order of small valencies. Ars Mathematica Contemporanea, Tome 13 (2017) no. 2, pp. 343-353. doi : 10.26493/1855-3974.964.594. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.964.594/

Cité par Sources :