On the uniqueness of continuation of a partially defined metric

Autor: Evgeniy Petrov
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Theory and Applications of Graphs, Vol 10, Iss 1, Pp 1-6 (2022)
Druh dokumentu: article
ISSN: 2470-9859
DOI: 10.20429/tag.2022.100101
Popis: The problem of continuation of a partially defined metric can be efficiently studied using graph theory. Let $G=G(V,E)$ be an undirected graph with the set of vertices $V$ and the set of edges $E$. A necessary and sufficient condition under which the weight $w\colon E\to\mathbb R^+$ on the graph $G$ has a unique continuation to a metric $d\colon V\times V\to\mathbb R^+$ is found.
Databáze: Directory of Open Access Journals