Open Diameters on Graphs

Author

Włodzimierz J. Charatonik, Missouri University of Science and TechnologyFollow
Robert Paul Roe, Missouri University of Science and TechnologyFollow
Ismail Uğur Tiryaki

Abstract

We prove that every connected finite graph admits a metric for which the diameter mapping is open.

Recommended Citation

W. J. Charatonik et al., "Open Diameters on Graphs," Houston Journal of Mathematics, vol. 46, no. 2, pp. 537 - 559, University of Houston, Jan 2020.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Diameter; Finite graph; Metric; Open diameter

International Standard Serial Number (ISSN)

0362-1588

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 University of Houston, All rights reserved.

Publication Date

01 Jan 2020