Algebraic invariants of edge ideals of cubic circulant graphs
Bakhtawar Shaukat, Muhammad Ishaq, Ahtsham ul Haq, Zahid Iqbal
TL;DR
This paper determines exact algebraic invariants such as depth and projective dimension for edge ideals of cubic circulant graphs, providing new insights into their algebraic structure.
Contribution
It offers the first exact calculations of depth and projective dimension for these classes of graphs' edge ideals.
Findings
Exact depth and projective dimension values obtained
Lower bounds for Stanley depth established
Results applicable to all cubic circulant graphs
Abstract
We obtain the exact values for depth and projective dimension and lower bounds for Stanley depth of the quotient rings of the edge ideals associated with all cubic circulant graphs.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Rings, Modules, and Algebras · Finite Group Theory Research