Algebraic tools for the construction of colored flows with boundary constraints
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 38 (2004) no. 3, pp. 229-243.

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We give a linear time algorithm which, given a simply connected figure of the plane divided into cells, whose boundary is crossed by some colored inputs and outputs, produces non-intersecting directed flow lines which match inputs and outputs according to the colors, in such a way that each edge of any cell is crossed by at most one line. The main tool is the notion of height function, previously introduced for tilings. It appears as an extension of the notion of potential of a flow in a planar graph.

DOI : 10.1051/ita:2004011
Classification : 05C25, 05C85
Mots-clés : height function, planar flows 
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     author = {Dorkenoo, Marius and Eglin-Leclerc, Marie-Christine and R\'emila, Eric},
     title = {Algebraic tools for the construction of colored flows with boundary constraints},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {229--243},
     publisher = {EDP-Sciences},
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     mrnumber = {2076401},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1051/ita:2004011/}
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Dorkenoo, Marius; Eglin-Leclerc, Marie-Christine; Rémila, Eric. Algebraic tools for the construction of colored flows with boundary constraints. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 38 (2004) no. 3, pp. 229-243. doi : 10.1051/ita:2004011. https://geodesic-test.mathdoc.fr/articles/10.1051/ita:2004011/

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