scholarly journals Essential surfaces in graph pairs

2018 ◽  
Vol 31 (4) ◽  
pp. 893-919 ◽  
Author(s):  
Henry Wilton
Keyword(s):  
2003 ◽  
Vol 12 (01) ◽  
pp. 117-122
Author(s):  
DAVID BACHMAN ◽  
SAUL SCHLEIMER

If a tangle, [Formula: see text] , has no planar, meridional, essential surfaces in its exterior then thin position for K has no thin levels.


2015 ◽  
Vol 15 (3) ◽  
pp. 1501-1523 ◽  
Author(s):  
Ryan Blair ◽  
David Futer ◽  
Maggy Tomova

1999 ◽  
Vol 46 (1) ◽  
pp. 83-92
Author(s):  
Hyam Rubinstein ◽  
Michah Sageev
Keyword(s):  

2020 ◽  
Vol 58 (1) ◽  
pp. 253-276 ◽  
Author(s):  
Dmitry Lapin ◽  
Deepak D. Bhandari ◽  
Jane E. Parker

The EDS1 family of structurally unique lipase-like proteins EDS1, SAG101, and PAD4 evolved in seed plants, on top of existing phytohormone and nucleotide-binding–leucine-rich-repeat (NLR) networks, to regulate immunity pathways against host-adapted biotrophic pathogens. Exclusive heterodimers between EDS1 and SAG101 or PAD4 create essential surfaces for resistance signaling. Phylogenomic information, together with functional studies in Arabidopsis and tobacco, identify a coevolved module between the EDS1–SAG101 heterodimer and coiled-coil (CC) HET-S and LOP-B (CCHELO) domain helper NLRs that is recruited by intracellular Toll-interleukin1-receptor (TIR) domain NLR receptors to confer host cell death and pathogen immunity. EDS1–PAD4 heterodimers have a different and broader activity in basal immunity that transcriptionally reinforces local and systemic defenses triggered by various NLRs. Here, we consider EDS1 family protein functions across seed plant lineages in the context of networking with receptor and helper NLRs and downstream resistance machineries. The different modes of action and pathway connectivities of EDS1 family members go some way to explaining their central role in biotic stress resilience.


2012 ◽  
Vol 16 (1) ◽  
pp. 601-624 ◽  
Author(s):  
Jeremy Kahn ◽  
Vladimir Marković
Keyword(s):  

2018 ◽  
Vol 25 (3) ◽  
pp. 803-817
Author(s):  
Stefan Friedl ◽  
Takahiro Kitayama ◽  
Matthias Nagel

2015 ◽  
Vol 24 (14) ◽  
pp. 1550077
Author(s):  
R. van der Veen

The slope conjecture [S. Garoufalidis, The degree of a q-holonomic sequence is a quadratic quasi-polynomial, Electron. J. Combin. 18 (2011) 4–27] gives a precise relation between the degree of the colored Jones polynomial of a knot and the boundary slopes of essential surfaces in the knot complement. In this paper, we propose a generalization of the slope conjecture to links. We prove the conjecture for all alternating or more generally adequate links. We also verify the conjecture for torus links.


2012 ◽  
Vol 159 (8) ◽  
pp. 2174-2186
Author(s):  
Charalampos Charitos ◽  
Ulrich Oertel
Keyword(s):  

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