Laplacian Spectral Characterization of Signed Sun Graphs

Authors

Fatemeh Motialah, Shiraz UniversityFollow
Mohammad Hassan Shirdareh Haghighi, Shiraz UniversityFollow

Abstract

A sun SG_n is a graph of order 2n consisting of a cycle C_n, n ≥ 3, to each vertex of it a pendant edge is attached. In this paper, we prove that unbalanced signed sun graphs are determined by their Laplacian spectra. Also we show that a balanced signed sun graph is determined by its Laplacian spectrum if and only if n is odd.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.

Recommended Citation

Motialah, Fatemeh and Shirdareh Haghighi, Mohammad Hassan (2019) "Laplacian Spectral Characterization of Signed Sun Graphs," Theory and Applications of Graphs: Vol. 6: Iss. 2, Article 3.
DOI: 10.20429/tag.2019.060203
Available at: https://digitalcommons.georgiasouthern.edu/tag/vol6/iss2/3