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Correlation among runners and some results on the lonely runner conjecture

Autor
Perarnau, G.; Serra, O.
Tipus d'activitat
Article en revista
Revista
Electronic journal of combinatorics
Data de publicació
2016-10-03
Volum
23
Número
1
Pàgina inicial
1
Pàgina final
22
Repositori
http://hdl.handle.net/2117/101787 Obrir en finestra nova
URL
http://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i1p50/pdf Obrir en finestra nova
Resum
The Lonely Runner Conjecture, posed independently by Wills and by Cusick, states that for any set of runners running along the unit circle with constant different speeds and starting at the same point, there is a time where all of them are far enough from the origin. We study the correlation among the time that runners spend close to the origin. By means of these correlations, we improve a result of Chen on the gap of loneliness. In the last part, we introduce dynamic interval graphs to deal wit...
Citació
Perarnau, G., Serra, O. Correlation among runners and some results on the lonely runner conjecture. "Electronic journal of combinatorics", 3 Octubre 2016, vol. 23, núm. 1, p. 1-22.
Paraules clau
Lonely Runner Conjecture
Grup de recerca
GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics

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