Title
Algebraic tools for the construction of colored flows with boundary constraints
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.
Year
DOI
Venue
2004
10.1051/ita:2004011
RAIRO-THEORETICAL INFORMATICS AND APPLICATIONS
Keywords
Field
DocType
height function,planar flows
Colored,Combinatorics,Simply connected space,Algebraic number,Flow (psychology),Multi-commodity flow problem,Time complexity,Mathematics,Planar graph,Potential flow
Journal
Volume
Issue
ISSN
38
3
0988-3754
Citations 
PageRank 
References 
0
0.34
6
Authors
3
Name
Order
Citations
PageRank
Marius Dorkenoo100.68
Marie-Christine Eglin-Leclerc201.35
Eric Rémila332945.22