AU - Seyyedi, S. M. AU - Rahmati, F. TI - Some Algebraic and Combinatorial Properties of the Complete $T$-Partite Graphs PT - JOURNAL ARTICLE TA - IJMSI JN - IJMSI VO - 13 VI - 1 IP - 1 4099 - http://ijmsi.ir/article-1-788-en.html 4100 - http://ijmsi.ir/article-1-788-en.pdf SO - IJMSI 1 ABĀ  - 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. CP - IRAN IN - Tehran, Hafez Ave,P. O. Box 15875-4413 LG - eng PB - IJMSI PG - 131 PT - Research paper YR - 2018