Graphs with the edge metric dimension smaller than the metric dimension
نویسندگان
چکیده
Given a connected graph G, the metric (resp. edge metric) dimension of G is cardinality smallest ordered set vertices that uniquely identifies every pair distinct edges) by means distance vectors to such set. In this work, we settle three open problems on (edge) graphs. Specifically, show for r,t?2 with r?t, there n0, n?n0 exists order n r and t, which among other consequences, shows existence infinitely many whose strictly smaller than its dimension. addition, also prove it not possible bound some constant factor G.
منابع مشابه
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2021
ISSN: ['1873-5649', '0096-3003']
DOI: https://doi.org/10.1016/j.amc.2021.126076