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Toric rings arising from vertex cover ideals |
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| Institution: | 1. Fachbereich Mathematik, Universität Duisburg-Essen, Campus Essen, 45117 Essen, Germany;2. Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Suita, Osaka 565-0871, Japan;3. Department of Mathematics, School of Science, Ilam University, P.O. Box 69315-516, Ilam, Iran |
| Abstract: | We extend the sortability concept to monomial ideals which are not necessarily generated in one degree and as an application we obtain normal Cohen-Macaulay toric rings attached to vertex cover ideals of graphs. Moreover, we consider a construction on a graph called a clique multi-whiskering which always produces vertex cover ideals with componentwise linear powers. |
| Keywords: | Sortable Toric rings Vertex cover ideals |
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