Geodesic
Shortest Paths along a Sequence of Line Segments in Euclidean Spaces
Journal of convex analysis, Tome 26 (2019) no. 4, pp. 1089-1112
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We present some analytical and geometric properties of shortest ordered paths joining two given points with respect to a sequence of line segments in a Euclidean space, especially their existence, uniqueness, characteristics, and conditions for concatenation of two shortest ordered paths to be a shortest ordered path. We then focus on straightest paths lying on a sequence of adjacent convex polygons in 2 or 3 dimensional spaces.
Classification : 65K10, 52B05, 52B55, 51M20
Mots-clés : Shortest paths, ordered paths, shortest ordered paths, straightest paths, concatenation of paths 
@article{JCA_2019_26_4_JCA_2019_26_4_a4,
     author = {N. N. Hai and P. T. An and P. T. T. Huyen},
     title = {Shortest {Paths} along a {Sequence} of {Line} {Segments} in {Euclidean} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {1089--1112},
     year = {2019},
     volume = {26},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2019_26_4_JCA_2019_26_4_a4/}
}
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N. N. Hai; P. T. An; P. T. T. Huyen. Shortest Paths along a Sequence of Line Segments in Euclidean Spaces. Journal of convex analysis, Tome 26 (2019) no. 4, pp. 1089-1112. http://geodesic.mathdoc.fr/item/JCA_2019_26_4_JCA_2019_26_4_a4/