Connectedness of Unit Distance Subgraphs Induced by Closed Convex Sets

The unit distance graph $G^1_{R^d}$ is the infinite graph whose nodes are points in $R^d$, with an edge between two points if the Euclidean distance between these points is $1$. The 2-dimensional version $G^1_{R^2}$ of this graph is typically studied for its chromatic number, as in the Hadwiger-Nels...

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Bibliographic Details
Main Authors: Remie Janssen, Leonie van Steijn
Format: Article
Language:English
Published: Georgia Southern University 2022-02-01
Series:Theory and Applications of Graphs
Subjects:
Online Access:https://digitalcommons.georgiasouthern.edu/tag/vol9/iss1/2