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Published in: Journal of Combinatorial Optimization 1/2016

01-01-2016

Polynomial algorithms for canonical forms of orientations

Author: Martin Kochol

Published in: Journal of Combinatorial Optimization | Issue 1/2016

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Abstract

We introduce canonical forms that represent certain equivalence classes of totally cyclic and acyclic orientations of graphs and present a polynomial algorithms for their constructions. The forms are used in new formulas evaluating tension and flow polynomials on graphs.

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Literature
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go back to reference Chen B, Yang ALB, Zhang TYJ (2008) A bijection for Eulerian-equivalence classes of totally cyclic orientations. Graphs Combin 24:519–530MathSciNetCrossRefMATH Chen B, Yang ALB, Zhang TYJ (2008) A bijection for Eulerian-equivalence classes of totally cyclic orientations. Graphs Combin 24:519–530MathSciNetCrossRefMATH
go back to reference Greene C, Zaslavsky T (1983) On the interpretation of Whitney numbers through arrangements of hyperplanes, zonotopes, non-Radon partitions, and orientations of graphs. Trans Am Math Soc 280:97–126MathSciNetCrossRefMATH Greene C, Zaslavsky T (1983) On the interpretation of Whitney numbers through arrangements of hyperplanes, zonotopes, non-Radon partitions, and orientations of graphs. Trans Am Math Soc 280:97–126MathSciNetCrossRefMATH
Metadata
Title
Polynomial algorithms for canonical forms of orientations
Author
Martin Kochol
Publication date
01-01-2016
Publisher
Springer US
Published in
Journal of Combinatorial Optimization / Issue 1/2016
Print ISSN: 1382-6905
Electronic ISSN: 1573-2886
DOI
https://doi.org/10.1007/s10878-014-9735-z

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