Conjugate Laplacian eigenvalues of co-neighbour graphs

• Date: 2022
• Main Author: Paul, S.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2022
• Subjects: conjugate Laplacian matrix; co-neighbour vertices; 05C50; 05C05; 15A18
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1754
• Journal Title: Algebra and Discrete Mathematics

Let \(G\) be a simple graph of order \(n\). A vertex subset is called independent if its elements are pairwise non-adjacent. Two vertices in \(G\) are co-neighbour vertices if they share the same neighbours. Clearly, if \(S\) is a set of pairwise co-neighbour vertices of a graph \(G\), then \(S\) is...