Linking Rings Structures and tetravalent semisymmetric graphs
Ars mathematica contemporanea, Tome 7 (2014) no. 2, pp. 341-352 Cet article a éte moissonné depuis la source Ars Mathematica Contemporanea website

Voir la notice de l'article

In this paper, we introduce LR structures, a new and interesting form of symmetry in graphs. LR structures are motivated by the search for semisymmetric graphs of degree 4. We show that all semisymmetric graphs of girth and degree 4 can be constructed in a simple way from LR structures. We then show several ways in which LR structures can be constructed or found.
DOI : 10.26493/1855-3974.311.4a8
Keywords: Graph, automorphism group, symmetry, locally arc-transitive graph, semisymmetric graph, cycle structure, linking rings structure
@article{10_26493_1855_3974_311_4a8,
     author = {Primo\v{z} Poto\v{c}nik and Stephen E. Wilson},
     title = {
		{Linking} {Rings} {Structures} and tetravalent semisymmetric graphs
	},
     journal = {Ars mathematica contemporanea},
     pages = {341--352},
     year = {2014},
     volume = {7},
     number = {2},
     doi = {10.26493/1855-3974.311.4a8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.311.4a8/}
}
TY  - JOUR
AU  - Primož Potočnik
AU  - Stephen E. Wilson
TI  - Linking Rings Structures and tetravalent semisymmetric graphs
	
JO  - Ars mathematica contemporanea
PY  - 2014
SP  - 341
EP  - 352
VL  - 7
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.311.4a8/
DO  - 10.26493/1855-3974.311.4a8
LA  - en
ID  - 10_26493_1855_3974_311_4a8
ER  - 
%0 Journal Article
%A Primož Potočnik
%A Stephen E. Wilson
%T Linking Rings Structures and tetravalent semisymmetric graphs
	
%J Ars mathematica contemporanea
%D 2014
%P 341-352
%V 7
%N 2
%U http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.311.4a8/
%R 10.26493/1855-3974.311.4a8
%G en
%F 10_26493_1855_3974_311_4a8
Primož Potočnik; Stephen E. Wilson. Linking Rings Structures and tetravalent semisymmetric graphs. Ars mathematica contemporanea, Tome 7 (2014) no. 2, pp. 341-352. doi: 10.26493/1855-3974.311.4a8

Cité par Sources :