@ARTICLE{Rahmati, author = {Seyyedi, S. M. and Rahmati, F. and }, title = {Some Algebraic and Combinatorial Properties of the Complete $T$-Partite Graphs}, volume = {13}, number = {1}, abstract ={In this paper, we characterize the shellable complete $t$-partite graphs. We also show for these types of graphs the concepts vertex decomposable, shellable and sequentially Cohen-Macaulay are equivalent. Furthermore, we give a combinatorial condition for the Cohen-Macaulay complete $t$-partite graphs. }, URL = {http://ijmsi.ir/article-1-788-en.html}, eprint = {http://ijmsi.ir/article-1-788-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, doi = {}, year = {2018} }