全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
Mathematics  2015 

Combinatorics of symmetric plabic graphs

Full-Text   Cite this paper   Add to My Lib

Abstract:

A plabic graph is a planar bicolored graph embedded in a disk, which satisfies some combinatorial conditions. Postnikov's boundary measurement map takes the space of positive edge weights of a plabic graph $G$ to a positroid cell in $\text{Gr}_{\geq 0}(k,n)$. In this note, we investigate plabic graphs which are symmetric about a line of reflection, up to reversing the colors of vertices. These symmetric plabic graphs arise naturally in the study of total positivity for the Lagrangian Grassmannian. We characterize various combinatorial objects associated with symmetric plabic graphs, and describe the subset of $\text{Gr}_{\geq 0}(k,n)$ which can be realized by symmetric weightings of symmetric plabic graphs.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133