Geodesic
On connectedness of graphs on direct product of Weyl groups
Archivum mathematicum, Tome 31 (1995) no. 4, pp. 299-304.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper, we have studied the connectedness of the graphs on the direct product of the Weyl groups. We have shown that the number of the connected components of the graph on the direct product of the Weyl groups is equal to the product of the numbers of the connected components of the graphs on the factors of the direct product. In particular, we show that the graph on the direct product of the Weyl groups is connected iff the graph on each factor of the direct product is connected.
Classification : 05C25, 05E10, 20E22, 20F55
Keywords: root systems; Weyl Groups; connectivity in a graph 
@article{ARM_1995__31_4_a6,
     author = {Youssef, Samy A. and Hulsurkar, S. G.},
     title = {On connectedness of graphs on direct product of {Weyl} groups},
     journal = {Archivum mathematicum},
     pages = {299--304},
     publisher = {mathdoc},
     volume = {31},
     number = {4},
     year = {1995},
     mrnumber = {1390589},
     zbl = {0849.20033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1995__31_4_a6/}
}
TY  - JOUR
AU  - Youssef, Samy A.
AU  - Hulsurkar, S. G.
TI  - On connectedness of graphs on direct product of Weyl groups
JO  - Archivum mathematicum
PY  - 1995
SP  - 299
EP  - 304
VL  - 31
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ARM_1995__31_4_a6/
LA  - en
ID  - ARM_1995__31_4_a6
ER  - 
%0 Journal Article
%A Youssef, Samy A.
%A Hulsurkar, S. G.
%T On connectedness of graphs on direct product of Weyl groups
%J Archivum mathematicum
%D 1995
%P 299-304
%V 31
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ARM_1995__31_4_a6/
%G en
%F ARM_1995__31_4_a6
Youssef, Samy A.; Hulsurkar, S. G. On connectedness of graphs on direct product of Weyl groups. Archivum mathematicum, Tome 31 (1995) no. 4, pp. 299-304. http://geodesic.mathdoc.fr/item/ARM_1995__31_4_a6/