Connectivity of Addition Cayley Graphs

David J. Grynkiewicz, Oriol Serra, Vsevolod Lev

Published 2007-10-05Version 1

For any finite abelian group $G$ and any subset $S\seq G$, we determine the connectivity of the addition Cayley graph induced by $S$ on $G$. Moreover, we show that if this graph is not complete, then it possesses a minimum vertex cut of a special, explicitly described form.