Geodesic
No strongly regular graph is locally Heawood
Čebyševskij sbornik, Tome 20 (2019) no. 2, pp. 198-206

Voir la notice de l'article provenant de la source Math-Net.Ru

We investigate when a strongly regular graph is locally Heawood. We focus on a putative strongly regular graph with parameters $(v, k, \lambda, \mu) = (85, 14, 3, 2)$, which is the only candidate for such a graph. Assuming that the graph is locally Heawood, we analyze its structure, finally arriving to a contradiction, which allows us to conclude that no strongly regular graph is locally Heawood.
Keywords: strongly regular graphs, local graphs, Heawood graph. 
@article{CHEB_2019_20_2_a14,
     author = {Aleksandar Juri\v{s}i\'c and Jano\v{s} Vidali},
     title = {No strongly regular graph is locally {Heawood}},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {198--206},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2019_20_2_a14/}
}
TY  - JOUR
AU  - Aleksandar Jurišić
AU  - Janoš Vidali
TI  - No strongly regular graph is locally Heawood
JO  - Čebyševskij sbornik
PY  - 2019
SP  - 198
EP  - 206
VL  - 20
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2019_20_2_a14/
LA  - en
ID  - CHEB_2019_20_2_a14
ER  - 
%0 Journal Article
%A Aleksandar Jurišić
%A Janoš Vidali
%T No strongly regular graph is locally Heawood
%J Čebyševskij sbornik
%D 2019
%P 198-206
%V 20
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2019_20_2_a14/
%G en
%F CHEB_2019_20_2_a14
Aleksandar Jurišić; Janoš Vidali. No strongly regular graph is locally Heawood. Čebyševskij sbornik, Tome 20 (2019) no. 2, pp. 198-206. http://geodesic.mathdoc.fr/item/CHEB_2019_20_2_a14/