Complete Graph Drawings up to Triangle Mutations

Author:

Gioan Emeric

Funder

Région Occitanie & Fonds européen de développement régional

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference28 articles.

1. Ábrego, B., Aichholzer, O., Fernández-Merchant, S., Hackl, T., Pammer, J., Pilz, A., Ramos, P., Sala-zar, G., Vogtenhuber, B.: All good drawings of small complete graphs. In: 31th European Workshop on Computational Geometry (Ljubljana 2015). Book of Abstracts, pp. 57–60. http://eurocg15.fri.uni-lj.si/pub/eurocg15-book-of-abstracts.pdf

2. Aichholzer, O., Balko, M., Hoffmann, M., Kynčl, J., Mulzer, W., Parada, I., Pilz, A., Scheucher, M., Valtr, P., Vogtenhuber, B., Welzl, E.: Minimal representations of order types by geometric graphs. In: Graph Drawing and Network Visualization (Prague 2019). Lecture Notes in Computer Science, vol. 11904, pp. 101–113. Springer, Cham (2019). Full version: arXiv:1908.05124

3. Aichholzer, O., Hackl, T., Pilz, A., Ramos, P., Sacristán, V., Vogtenhuber, B.: Empty triangles in good drawings of the complete graph. In: Mexican Conference on Discrete Mathematics and Computational Geometry (Oaxaca 2013), pp. 21–29 (2013)

4. Aichholzer, O., Hackl, T., Pilz, A., Salazar, G., Vogtenhuber, B.: Deciding monotonicity of good drawings of the complete graph. In: 16th Spanish Meeting on Computational Geometry (Barcelona 2015), pp. 33–36 (2015)

5. Arroyo, A., McQuillan, D., Richter, R.B., Salazar, G.: Drawings of $$K_n$$ with the same rotation scheme are the same up to triangle-flips (Gioan’s theorem). Australas. J. Combin. 67, 131–144 (2017)

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