arXiv Open Access 2019

Sharp diameter bound on the spectral gap for quantum graphs

David Borthwick Livia Corsi Kenny Jones

Lihat Sumber

Abstrak

We establish an upper bound on the spectral gap for compact quantum graphs which depends only on the diameter and total number of vertices. This bound is asymptotically sharp for pumpkin chains with number of edges tending to infinity.

Topik & Kata Kunci

math.SP

Penulis (3)

David Borthwick

Livia Corsi

Kenny Jones

Format Sitasi

APA MLA BibTeX

Borthwick, D., Corsi, L., Jones, K. (2019). Sharp diameter bound on the spectral gap for quantum graphs. https://arxiv.org/abs/1905.03071

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓