Beck, Matthias; Schymura, Matthias Deep lattice points in zonotopes, lonely runners, and lonely rabbits. (English) Zbl 07931200 Int. Math. Res. Not. 2024, No. 8, 6553-6578 (2024). MSC: 52B20 11J99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cslovjecsek, Jana; Malikiosis, Romanos Diogenes; Naszódi, Márton; Schymura, Matthias Computing the covering radius of a polytope with an application to lonely runners. (English) Zbl 1524.11131 Combinatorica 42, No. 4, 463-490 (2022). Reviewer: Marek Lassak (Bydgoszcz) MSC: 11H31 52C17 11J25 52B55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pomerance, Carl Coprime matchings. (English) Zbl 1501.11042 Integers 22, Paper A2, 9 p. (2022). Reviewer: Lee Troupe (Macon) MSC: 11B75 11A25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Pandey, Ram Krishna; Srivastava, Anshika Maximal density of integral sets with missing differences and the kappa values. (English) Zbl 1484.11031 Taiwanese J. Math. 26, No. 1, 17-32 (2022). MSC: 11B05 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
Beck, Matthias; Hoşten, Serkan; Schymura, Matthias Lonely runner polyhedra. (English) Zbl 1421.52017 Integers 19, Paper A29, 13 p. (2019). Reviewer: Lenny Fukshansky (Claremont) MSC: 52C07 52C17 11H31 11J13 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Chow, Sam; Rimanić, Luka Lonely runners in function fields. (English) Zbl 1452.11085 Mathematika 65, No. 3, 677-701 (2019). Reviewer: Anton Shutov (Vladimir) MSC: 11J71 11K41 05D05 05B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tao, Terence Some remarks on the lonely runner conjecture. (English) Zbl 1451.11088 Contrib. Discrete Math. 13, No. 2, 1-31 (2018). Reviewer: Simon Kristensen (Aarhus) MSC: 11K60 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Schymura, Matthias; Wills, Jörg M. The lonely runner. (Der einsame Läufer.) (German) Zbl 1436.11083 Mitt. Dtsch. Math.-Ver. 26, No. 1, 14-17 (2018). MSC: 11J71 11K60 11K06 11-02 × Cite Format Result Cite Review PDF Full Text: DOI
Czerwiński, Sebastian The lonely runner problem for lacunary sequences. (English) Zbl 1406.11064 Discrete Math. 341, No. 5, 1301-1306 (2018). MSC: 11J13 11J71 05D40 × Cite Format Result Cite Review PDF Full Text: DOI
Henze, Matthias; Malikiosis, Romanos-Diogenes On the covering radius of lattice zonotopes and its relation to view-obstructions and the lonely runner conjecture. (English) Zbl 1367.52017 Aequationes Math. 91, No. 2, 331-352 (2017). Reviewer: Anton Shutov (Vladimir) MSC: 52C17 11H31 11J13 52C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Perarnau, Guillem; Serra, Oriol Correlation among runners and some results on the lonely runner conjecture. (English) Zbl 1415.11095 Electron. J. Comb. 23, No. 1, Research Paper P1.50, 22 p. (2016). MSC: 11J13 11B75 11J71 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Gibson, D. Jason A density Chinese remainder theorem. (English) Zbl 1314.11003 Integers 14, Paper A22, 10 p. (2014). Reviewer: Nathan Kaplan (New Haven) MSC: 11A07 11B75 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Liu, Daphne Der-Fen; Sutedja, Aileen Chromatic number of distance graphs generated by the sets \(\{2,3,x,y\}\). (English) Zbl 1273.90230 J. Comb. Optim. 25, No. 4, 680-693 (2013). MSC: 90C35 × Cite Format Result Cite Review PDF Full Text: DOI
Dubickas, Artūras The lonely runner problem for many runners. (English) Zbl 1253.11073 Glas. Mat., III. Ser. 46, No. 1, 25-30 (2011). Reviewer: Oriol Serra (Barcelona) MSC: 11J13 11J25 11J71 × Cite Format Result Cite Review PDF Full Text: Link
Steinerberger, Stefan A note on lacunary lonely runners. WITHDRAWN. (English) Zbl 1215.11024 J. Integer Seq. 13, No. 9, Article 10.9.3, 6 p. (2010). MSC: 11B99 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Pandey, Ram Krishna A note on the lonely runner conjecture. (English) Zbl 1233.11026 J. Integer Seq. 12, No. 4, Article ID 09.4.6, 4 p. (2009). Reviewer: Oriol Serra (Barcelona) MSC: 11B75 11J71 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Barajas, J.; Serra, O. The lonely runner problem with seven runners. (English) Zbl 1201.05033 Martínez Moro, Edgar (ed.), V jornadas de matemática discreta y algorítmica. Valladolid: Universidade de Valladolid, Secretariado de Publicaciones e Intercambio Editorial (ISBN 978-84-8448-380-9/pbk). Ciencias (Valladolid) 23, 111-116 (2006). MSC: 05C15 52A40 11J99 11B75 × Cite Format Result Cite Review PDF Full Text: arXiv
Goddyn, Luis; Wong, Erick B. Tight instances of the Lonely Runner. (English) Zbl 1114.11060 Integers 6, Paper A38, 14 p. (2006). Reviewer: Štefan Porubský (Praha) MSC: 11J13 11H06 11J25 52C07 11A05 × Cite Format Result Cite Review PDF Full Text: Link
Renault, Jérôme View-obstruction: a shorter proof for 6 lonely runners. (English) Zbl 1061.11036 Discrete Math. 287, No. 1-3, 93-101 (2004). Reviewer: Zhu Yaochen (Beijing) MSC: 11H06 11A99 × Cite Format Result Cite Review PDF Full Text: DOI Link