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math.AC2018
A construction of sequentially Cohen-Macaulay graphs
A-Ming Liu, Tongsuo Wu
For every simple graph , a class of multiple clique cluster-whiskered graphs is introduced, and it is shown that all graphs are vertex decomposable, thus the i…
math.AC2016★ 8 cited
Boolean graphs are unmixed and vertex decomposable
A-Ming Liu, Tongsuo Wu
For each Boolean graph , it is proved that both and its complement graph are vertex decomposable. It is also proved that is an unmixed graph, thus…
math.AC2016
Minimal free resolution of a graded ideal with linear quotients
A-Ming Liu, Tongsuo Wu
Let be a graded ideal of generated by homogeneous polynomials of a same degree , and assume that has linear quotients. In this note, we use Horseshoe…