@article {IOPORT.01150387, author = {Lou, Dingjun}, title = {A local condition for dominating cycles in graphs with large girth.}, year = {1996}, journal = {Acta Scientiarum Naturalium Universitatis Sunyatseni}, volume = {35}, number = {2}, issn = {0529-6579}, pages = {6-9}, publisher = {Editorial Department of Sun Yat-sen (Zhongshan) University, Guangzhou}, abstract = {Summary: For a connected graph $G$ with girth at least five, it is proved that $G$ has a dominating cycle if, for each vertex $v$ of $G$, the independence number of the graph obtained by deleting from $G$ the vertices that are of distance two or three from $v$ is not greater than two times the minimum degree minus three.}, identifier = {01150387}, }