Finding shortest non-trivial cycles in directed graphs on surfaces

Let $D$ be a weighted directed graph cellularly embedded in a surface of genus $g$, orientable or not, possibly with boundary.  We describe algorithms to compute shortest non-contractible and shortest surface non-separating cycles in $D$, generalizing previous results that dealt with undirected grap...

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Bibliographic Details
Main Authors: Sergio Cabello, Éric Colin de Verdière, Francis Lazarus
Format: Article
Language:English
Published: Carleton University 2016-04-01
Series:Journal of Computational Geometry
Online Access:http://jocg.org/index.php/jocg/article/view/225