A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two
Ars Mathematica Contemporanea, Tome 8 (2015) no. 1, pp. 133-148.

Voir la notice de l'article dans Ars Mathematica Contemporanea website

A complete list of all connected arc-transitive asymmetric digraphs of in-valence and out-valence 2 on up to 1000 vertices is presented. As a byproduct, a complete list of all connected 4-valent graphs admitting a half-arc-transitive group of automorphisms on up to 1000 vertices is obtained. Several graph-theoretical properties of the elements of our census are calculated and discussed.
DOI : 10.26493/1855-3974.559.c6c
Mots-clés : Graph, digraph, edge-transitive, vertex-transitive, arc-transitive, half-arc-transitive 
@article{10_26493_1855_3974_559_c6c,
     author = {Primo\v{z} Poto\v{c}nik and Pablo Spiga and Gabriel Verret},
     title = {A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two},
     journal = {Ars Mathematica Contemporanea},
     pages = {133--148},
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {2015},
     doi = {10.26493/1855-3974.559.c6c},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.26493/1855-3974.559.c6c/}
}
TY  - JOUR
AU  - Primož Potočnik
AU  - Pablo Spiga
AU  - Gabriel Verret
TI  - A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two
JO  - Ars Mathematica Contemporanea
PY  - 2015
SP  - 133
EP  - 148
VL  - 8
IS  - 1
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.26493/1855-3974.559.c6c/
DO  - 10.26493/1855-3974.559.c6c
LA  - en
ID  - 10_26493_1855_3974_559_c6c
ER  - 
%0 Journal Article
%A Primož Potočnik
%A Pablo Spiga
%A Gabriel Verret
%T A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two
%J Ars Mathematica Contemporanea
%D 2015
%P 133-148
%V 8
%N 1
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.26493/1855-3974.559.c6c/
%R 10.26493/1855-3974.559.c6c
%G en
%F 10_26493_1855_3974_559_c6c
Primož Potočnik; Pablo Spiga; Gabriel Verret. A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two. Ars Mathematica Contemporanea, Tome 8 (2015) no. 1, pp. 133-148. doi : 10.26493/1855-3974.559.c6c. https://geodesic-test.mathdoc.fr/articles/10.26493/1855-3974.559.c6c/

Cité par Sources :