# Algebraic tools for the construction of colored flows with boundary constraints

Marius Dorkenoo; Marie-Christine Eglin-Leclerc; Eric Rémila

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (2004)

- Volume: 38, Issue: 3, page 229-243
- ISSN: 0988-3754

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topDorkenoo, Marius, Eglin-Leclerc, Marie-Christine, and Rémila, Eric. "Algebraic tools for the construction of colored flows with boundary constraints." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 38.3 (2004): 229-243. <http://eudml.org/doc/245753>.

@article{Dorkenoo2004,

abstract = {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.},

author = {Dorkenoo, Marius, Eglin-Leclerc, Marie-Christine, Rémila, Eric},

journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},

keywords = {height function; planar flows; planar graphs; flow; multicommodity flow},

language = {eng},

number = {3},

pages = {229-243},

publisher = {EDP-Sciences},

title = {Algebraic tools for the construction of colored flows with boundary constraints},

url = {http://eudml.org/doc/245753},

volume = {38},

year = {2004},

}

TY - JOUR

AU - Dorkenoo, Marius

AU - Eglin-Leclerc, Marie-Christine

AU - Rémila, Eric

TI - Algebraic tools for the construction of colored flows with boundary constraints

JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

PY - 2004

PB - EDP-Sciences

VL - 38

IS - 3

SP - 229

EP - 243

AB - 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.

LA - eng

KW - height function; planar flows; planar graphs; flow; multicommodity flow

UR - http://eudml.org/doc/245753

ER -

## References

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