lattice property
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10.37236/8000 ◽  
2020 ◽  
Vol 27 (1) ◽  
Author(s):  
Cesar Ceballos ◽  
Arnau Padrol ◽  
Camilo Sarmiento

We give a new interpretation of the $\nu$-Tamari lattice of Préville-Ratelle and Viennot in terms of a rotation lattice of $\nu$-trees. This uncovers the relation with known combinatorial objects such as north-east fillings, \mbox{tree-like} tableaux and subword complexes. We provide a simple description of the lattice property using certain bracket vectors of $\nu$-trees, and show that the Hasse diagram of the $\nu$-Tamari lattice can be obtained as the facet adjacency graph of certain subword complex. Finally, this point of view generalizes to multi $\nu$-Tamari complexes, and gives (conjectural) insight on their geometric realizability via polytopal subdivisions of multiassociahedra.


2019 ◽  
Vol 14 (1) ◽  
pp. 243-276 ◽  
Author(s):  
W. Patrick Hooper ◽  
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Keyword(s):  

2016 ◽  
Vol 18 (8) ◽  
pp. 6252-6258 ◽  
Author(s):  
Jaehoon Chung ◽  
Da Hye Won ◽  
Jaekang Koh ◽  
Eun-Hee Kim ◽  
Seong Ihl Woo

Hierarchical Cu pillar electrodes have shown enhanced electrochemical performance for CO2 reduction due to their increased surface area and controlled lattice property.


2015 ◽  
Vol 143 (6) ◽  
pp. 2427-2437 ◽  
Author(s):  
Tero Kilpeläinen ◽  
Pekka Koskela ◽  
Hiroaki Masaoka
Keyword(s):  

2008 ◽  
Vol 28 (06) ◽  
pp. 1959 ◽  
Author(s):  
JOHN SMILLIE ◽  
BARAK WEISS
Keyword(s):  

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