Minimal Graphs with Respect to Geometric Distance Realizability

A graph G is minimal non-unit-distance graph if there is no drawing of G in Euclidean plane having all edges of unit length, but, for each edge e of G, G − e has such a drawing. We prove that, for infinitely many n, the number of non-isomorphic n-vertex minimal non-unit-distance graphs is at least e...

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Bibliographic Details
Main Authors: Madaras Tomáš, Široczki Pavol
Format: Article
Language:English
Published: University of Zielona Góra 2021-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2176