Unstable graphs: A fresh outlook via TF-automorphisms
Ars Mathematica Contemporanea, Tome 8 (2015) no. 1, pp. 115-131.

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

In this paper, we first establish the very close link between stability of graphs, a concept first introduced by Marušič, Scapellato and Zagaglia Salvi and studied most notably by Surowski and Wilson, and two-fold automorphisms. The concept of two-fold isomorphisms, as far as we know, first appeared in Zelinka’s work on isotopies of digraphs and later studied formally by the authors with a greater emphasis on undirected graphs. We then turn our attention to the stability of graphs which have every edge on a triangle, but with the fresh outlook provided by TF-automorphisms. Amongst such graphs are strongly regular graphs with certain parameters. The advantages of this fresh outlook are highlighted when we ultimately present a method of constructing and generating unstable graphs with large diameter having every edge lying on a triangle. This was a rather surprising outcome.
DOI : 10.26493/1855-3974.534.934
Mots-clés : Graphs, canonical double covers, two-fold isomorphisms. 
@article{10_26493_1855_3974_534_934,
     author = {Josef Lauri and Russell Mizzi and Raffaele Scapellato},
     title = {Unstable graphs: {A} fresh outlook via {TF-automorphisms}},
     journal = {Ars Mathematica Contemporanea},
     pages = {115--131},
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {2015},
     doi = {10.26493/1855-3974.534.934},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.26493/1855-3974.534.934/}
}
TY  - JOUR
AU  - Josef Lauri
AU  - Russell Mizzi
AU  - Raffaele Scapellato
TI  - Unstable graphs: A fresh outlook via TF-automorphisms
JO  - Ars Mathematica Contemporanea
PY  - 2015
SP  - 115
EP  - 131
VL  - 8
IS  - 1
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.26493/1855-3974.534.934/
DO  - 10.26493/1855-3974.534.934
LA  - en
ID  - 10_26493_1855_3974_534_934
ER  - 
%0 Journal Article
%A Josef Lauri
%A Russell Mizzi
%A Raffaele Scapellato
%T Unstable graphs: A fresh outlook via TF-automorphisms
%J Ars Mathematica Contemporanea
%D 2015
%P 115-131
%V 8
%N 1
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.26493/1855-3974.534.934/
%R 10.26493/1855-3974.534.934
%G en
%F 10_26493_1855_3974_534_934
Josef Lauri; Russell Mizzi; Raffaele Scapellato. Unstable graphs: A fresh outlook via TF-automorphisms. Ars Mathematica Contemporanea, Tome 8 (2015) no. 1, pp. 115-131. doi : 10.26493/1855-3974.534.934. https://geodesic-test.mathdoc.fr/articles/10.26493/1855-3974.534.934/

Cité par Sources :