Regularity of Powers and symbolic powers of edge ideals of cubic circulant graphs
Nguyen Thu Hang, My Hanh Pham, and Thanh Vu
TL;DR
This paper calculates the regularity of powers and symbolic powers of edge ideals in cubic circulant graphs, confirming Minh's conjecture for this class of graphs.
Contribution
It provides the first comprehensive computation of regularity for these ideals and proves Minh's conjecture specifically for cubic circulant graphs.
Findings
Regularity of powers and symbolic powers computed for all cubic circulant graphs.
Confirmed Minh's conjecture for cubic circulant graphs.
Established new results on the algebraic properties of edge ideals in this graph class.
Abstract
We compute the regularity of powers and symbolic powers of edge ideals of all cubic circulant graphs. In particular, we establish Conjecture of Minh for cubic circulant graphs.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Graph theory and applications · Coding theory and cryptography