Graphs with Flexible Labelings
Combinatorics
2019-09-17 v2 Algebraic Geometry
Abstract
For a flexible labeling of a graph, it is possible to construct infinitely many non-equivalent realizations keeping the distances of connected points constant. We give a combinatorial characterization of graphs that have flexible labelings. The characterization is based on colorings of the edges with restrictions on the cycles. Furthermore, we give necessary criteria and sufficient ones for the existence of such colorings.
Keywords
Cite
@article{arxiv.1708.05298,
title = {Graphs with Flexible Labelings},
author = {Georg Grasegger and Jan Legerský and Josef Schicho},
journal= {arXiv preprint arXiv:1708.05298},
year = {2019}
}