@article {IOPORT.05929400, author = {Zhang, Huajun}, title = {Primitivity and independent sets in direct products of vertex-transitive graphs.}, year = {2011}, journal = {Journal of Graph Theory}, volume = {67}, number = {3}, issn = {0364-9024}, pages = {218-225}, publisher = {John Wiley \& Sons, New York, NY}, doi = {10.1002/jgt.20526}, abstract = {Summary: We introduce the concept of the primitivity of independent set in vertex-transitive graphs, and investigate the relationship between the primitivity and the structure of maximum independent sets in direct products of vertex-transitive graphs. As a consequence of our main results, we positively solve an open problem related to the structure of independent sets in powers of vertex-transitive graphs.}, identifier = {05929400}, }