Geodesic
Maximization of distances of regular polygons on a circle
Applications of Mathematics, Tome 25 (1980) no. 3, pp. 182-195
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This paper presents the solution of a basic problem defined by J. Černý which solves a concrete everyday problem in railway and road transport (the problem of optimization of time-tables by some criteria).
This paper presents the solution of a basic problem defined by J. Černý which solves a concrete everyday problem in railway and road transport (the problem of optimization of time-tables by some criteria).
DOI : 10.21136/AM.1980.103850
Classification : 52A37, 65K05, 90B05, 90B35, 90C08, 90C35
Keywords: maximizing distances of regular polygons on a circle; transport problems; $M$-system; $M$-graph; determination of optimal solution; bus line scheduling 
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Guldan, Filip. Maximization of distances of regular polygons on a circle. Applications of Mathematics, Tome 25 (1980) no. 3, pp. 182-195. doi: 10.21136/AM.1980.103850

[1] J. Černý: Problems for systems of regular polygons on a circumference and their application in transport. (Czech). Matematické obzory (1972), 51 - 59.

[2] J. Černý: Applied mathematics and transport. (Czech). Pokroky matematiky, fyziky a astronomie 19 (1974), 316-323. | MR

[3] F. Harrary: Graph Theory. Addison-Wesley, 1969. | MR

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