A formula for the energy of circulant graphs with two generators
Justine Louis
TL;DR
This paper derives explicit formulas for the energy of circulant graphs generated by two specific elements, providing new insights into their spectral properties and extending understanding of graph energies.
Contribution
The paper introduces closed-form formulas for the energy of circulant graphs with two generators, including the case of complete graphs missing a Hamilton cycle.
Findings
Closed formulas for the energy of circulant graphs with two generators.
A formula for the energy of the complete graph without a Hamilton cycle.
Enhanced understanding of spectral properties of circulant graphs.
Abstract
In this note, we derive closed formulas for the energy of circulant graphs generated by and , where is an integer. We also find a formula for the energy of the complete graph without a Hamilton cycle.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGraph theory and applications · Finite Group Theory Research · Advanced Graph Theory Research