Spectral multiplicity functions of adjacency operators of graphs and cospectral infinite graphs

• Дата: 2024
• Автор: de la Harpe, Pierre
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2024
• Теми: spectral graph theory; adjacency operator; spectral measure; spectral multiplicity function; unitarily equivalent operators; cospectral graphs; Jacobi matrix; 05C50; 47A10
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2224
• Назва журналу: Algebra and Discrete Mathematics

The adjacency operator of a graph has a spectrum and a class of scalar-valued spectral measures which have been systematically analyzed; it also has a spectral multiplicity function which has been less studied. The first purpose of this article is to review some examples of infinite graphs for which...