Non-crossing monotone paths and binary trees in edge-ordered complete geometric graphs

Author:

Duque F.,Fabila-Monroy R.,Hidalgo-Toscano C.,Pérez-Lantero P.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference21 articles.

1. Aichholzer, O., Cabello, S., Fabila-Monroy, R., Flores-Peñaloza, D., Hackl, T., Huemer, C., Hurtado, F., Wood, D.R.: Edge-removal and non-crossing configurations in geometric graphs. Discrete Math. Theor. Comput. Sci. 12, 75-86 (2010)

2. Barba, L., Fabila-Monroy, R., Lara, D., Leaños, J., Rodríguez, C., Salazar, G., Zaragoza, F.: The Erdős-Sós conjecture for geometric graphs. Discrete Math. Theor. Comput. Sci. 15, 93-100 (2013)

3. Bialostocki, A., Roditty, Y.: A monotone path in an edge-ordered graph. Internat. J. Math. Math. Sci. 10, 315-320 (1987)

4. P. Brass, G. Károlyi, and P. Valtr, A Turán-type extremal theory of convex geometric graphs, in: Discrete and Computational Geometry, Algorithms Combin., vol 25. Springer (Berlin, 2003), pp. 275-300

5. M. Bucic, M. Kwan, A. Pokrovskiy, B. Sudakov, T. Tran, and A. Z. Wagner, Nearly-linear monotone paths in edge-ordered graphs, manuscript, 2018

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1. Turán problems for edge-ordered graphs;Journal of Combinatorial Theory, Series B;2023-05

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