The Weak Lefschetz Property of Whiskered Graphs
Springer INdAM Series Lefschetz Properties（2024）
Abstract
We consider Artinian level algebras arising from the whiskering of a graph. Employing a result by Dao-Nair we show that multiplication by a general linear form has maximal rank in degrees 1 and n-1 when the characteristic is not two, where n is the number of vertices in the graph. Moreover, the multiplication is injective in degrees More
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