Algebraic Characterization Of Graphical Degree Stability

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY（2019）

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摘要

In this paper, we introduce the elimination ideal I-D(G) associated to a simple finite graph G. We obtain the upper bound of Castelnuovo-Mumford regularity of elimination ideal for various classes of graphs.

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关键词

degree sequence of graphs, Castelnuovo-Mumford regularity, stable ideals, Borel type ideal, primary decomposition of ideals

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