Spectral Analysis of Some Graphs with Infinite Rays

• Дата: 2014
• Автори: Lebid’, V. O., Nizhnik, L. P., Лебідь, В. О., Нижник, Л. П.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2014
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2210
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We perform a detailed spectral analysis of countable graphs formed by joining semibounded infinite chains to vertices of a finite graph. The spectrum of a self-adjoint operator generated by the adjacency matrix of the graph is characterized, the spectral measure is constructed, the eigenvectors are...