Regularity of Edge Ideals and Their Powers
classification
🧮 math.AC
math.CO
keywords
edgeidealspowersregularitytextasymptoticboundscastelnuovo-mumford
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We survey recent studies on the Castelnuovo-Mumford regularity of edge ideals of graphs and their powers. Our focus is on bounds and exact values of $\text{reg} I(G)$ and the asymptotic linear function $\text{reg} I(G)^q$, for $q \geq 1,$ in terms of combinatorial data of the given graph $G.$
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