The $\circ$ operation and $*$ operation of Cohen-Macaulay bipartite graphs.
| Autor: | Yang, Yulong |
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| Další autoři: | |
| Jazyk: | angličtina |
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| Druh dokumentu: | Non-fiction |
| Abstrakt: | Abstract: Let $G$ be a finite simple graph with the vertex set $V$ and let $I_G$ be its edge ideal in the polynomial ring $S= \mathbb{K} [V]$. We compute the depth and the Castelnuovo-Mumford regularity of $S/I_G$ when $G=G_1\circ G_2$ or $G=G_1* G_2$ is a graph obtained from Cohen-Macaulay bipartite graphs $G_1$, $G_2$ by the $\circ$ operation or $*$ operation, respectively. |
| Databáze: | Katalog Knihovny AV ČR |
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