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arxiv: 1207.6249 · v1 · pith:QPOUFHQDnew · submitted 2012-07-26 · 🧮 math.AC · math.CO

Regularity of edge ideal of a graph

classification 🧮 math.AC math.CO
keywords edgegraphsidealregularityalternativeconsequencegivengraph
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In this paper, we introduce some reduction processes on graphs which preserve the regularity of related edge ideals. As a consequence, an alternative proof for the theorem of R. Fr\"oberg on linearity of resolution of edge ideal of graphs is given.

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