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The Characteristic Polynomial of the Laplacian Matrix of a Rooted Balanced k-Ary Tree
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作者 Zoran Stanic 《Algebra Colloquium》 2025年第1期53-58,共6页
We give the explicit formula for the characteristic polynomial of the Laplacian matrix of every rooted balanced k-ary tree of depth r.
关键词 rooted balanced k-ary tree Laplacian matrix characteristic polynomial gen-eralized Fibonacci polynomial EIGENVALUE
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Effector biology and immunometabolic(re)programming:Microbial strategies for compatibillity
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作者 Alga Zuccaro 《Molecular Plant》 2026年第3期434-438,共5页
ROOT IMMUNOMETABOLISM:BALANCING DEFENSE AND ACCOMMODATION.Plant health depends on balanced immune defense and microbial accommodation.As constant contact zones,roots must exclude pathogens while fostering beneficial s... ROOT IMMUNOMETABOLISM:BALANCING DEFENSE AND ACCOMMODATION.Plant health depends on balanced immune defense and microbial accommodation.As constant contact zones,roots must exclude pathogens while fostering beneficial symbionts.Classical,leafbased immunity models fail to capture the spatial and metabolic complexity of roots,which contain functionally distinct zones and cell types with diverse immune sensitivities and responses(Tsai et al.,2023). 展开更多
关键词 immunity models root immunometabolism balancing effector biology microbial strategies fostering beneficial symbiontsclassicalleafbased immunometabolic programming balanced immune defense root immunometabolism
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