On Plücker coordinates of a perfectly oriented planar network
2008 ◽
Vol DMTCS Proceedings vol. AJ,...
(Proceedings)
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Keyword(s):
International audience Let $G$ be a perfectly oriented planar graph. Postnikov's boundary measurement construction provides a rational map from the set of positive weight functions on the edges of $G$ onto the appropriate totally nonnegative Grassmann cell. We establish an explicit combinatorial formula for Postnikov's map by expressing each Plücker coordinate of the image as a ratio of two polynomials in the edge weights, with positive integer coefficients. These polynomials are weight generating functions for certain subsets of edges in $G$.
2015 ◽
Vol DMTCS Proceedings, 27th...
(Proceedings)
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2008 ◽
Vol DMTCS Proceedings vol. AJ,...
(Proceedings)
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Keyword(s):
2016 ◽
Vol Vol. 17 no. 3
(Combinatorics)
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Keyword(s):
2003 ◽
Vol DMTCS Proceedings vol. AC,...
(Proceedings)
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Keyword(s):
2011 ◽
Vol DMTCS Proceedings vol. AO,...
(Proceedings)
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2009 ◽
Vol DMTCS Proceedings vol. AK,...
(Proceedings)
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2008 ◽
Vol 78
(1)
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pp. 129-140
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Keyword(s):
2015 ◽
Vol 11
(04)
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pp. 1063-1072