Geodesic
An Evolutionary Structure of Convex Quadrilaterals. Part III
Journal of convex analysis, Tome 25 (2018) no. 3, pp. 759-765
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We introduce an evolutionary structure of Euclidean networks for boundary convex quadrilaterals in the two dimensional Euclidean space (botanological network) which has two roots, one main branch and two branches. A botanological network is a weighted full Steiner tree which is enriched by a collection of instantaneous images of the process of photosynthesis, by assuming mass flow continuity.
Classification : 51E12, 52A10, 52A55, 51E10
Mots-clés : Weighted Fermat-Torricelli problem, weighted Fermat-Torricelli point, botanological network, weighted Steiner minimal tree, inverse weighted Fermat-Torricelli problem, convex quadrilateral 
@article{JCA_2018_25_3_JCA_2018_25_3_a2,
     author = {A. N. Zachos and G. Zouzoulas},
     title = {An {Evolutionary} {Structure} of {Convex} {Quadrilaterals.} {Part} {III}},
     journal = {Journal of convex analysis},
     pages = {759--765},
     year = {2018},
     volume = {25},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_3_JCA_2018_25_3_a2/}
}
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A. N. Zachos; G. Zouzoulas. An Evolutionary Structure of Convex Quadrilaterals. Part III. Journal of convex analysis, Tome 25 (2018) no. 3, pp. 759-765. http://geodesic.mathdoc.fr/item/JCA_2018_25_3_JCA_2018_25_3_a2/