Every graph admits an unambiguous bold drawing
Journal of graph algorithms and applications, Tome 19 (2015) no. 1, pp. 299-312
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Let r and w be fixed positive numbers, w r. In a bold drawing of a graph, every vertex is represented by a disk of radius r, and every edge by a narrow rectangle of width w. We solve a problem of van Kreveld by showing that every graph admits a bold drawing in which the region occupied by the union of the disks and rectangles representing the vertices and edges does not contain any disk of radius r other than the ones representing the vertices.
@article{JGAA_2015_19_1_a13,
author = {J\'anos Pach},
title = {Every graph admits an unambiguous bold drawing},
journal = {Journal of graph algorithms and applications},
pages = {299--312},
year = {2015},
volume = {19},
number = {1},
doi = {10.7155/jgaa.00359},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00359/}
}
János Pach. Every graph admits an unambiguous bold drawing. Journal of graph algorithms and applications, Tome 19 (2015) no. 1, pp. 299-312. doi: 10.7155/jgaa.00359
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