@article {IOPORT.05557962, author = {Yao, Xiangjuan}, title = {Group connectivity of two kinds of graphs.}, year = {2008}, journal = {International Journal of Algebra}, volume = {2}, number = {17-20}, issn = {1312-8868}, pages = {875-879}, publisher = {Hikari Ltd, Ruse}, abstract = {Summary: Let $G$ be an undirected graph, $A$ be an (additive) abelian group and $A^* = A-\{0\}$. A graph $G$ is $A$-connected if $G$ has an orientation $D(G)$ such that for every function $b: V(G)\mapsto A$ satisfying $\sum_{v\in V(G)} b(v) =0$, there is a function $f: E(G)\mapsto A^*$ such that $\sum_{e\in E^+(v)} f(e) -\sum_{e\in E^-(v)} f(e) = b(v)$. For an abelian group $A$, let $\langle A\rangle$ be the family of graphs that are $A$-connected. The group connectivity number $\Lambda_g(G) = \min\{n:$ if $A$ is an abelian group with $|A|\geq n$, then $G\in \langle A\rangle\}$. In this paper, we give the group connectivity of two kinds of graphs.}, identifier = {05557962}, }