Multi‐scale seismic reliability assessment of networks by centrality‐based selective recursive decomposition algorithm

2021 ◽  
Author(s):  
Dongkyu Lee ◽  
Junho Song
Keyword(s):  
Reliability Assessment ◽  
Decomposition Algorithm ◽  
Seismic Reliability ◽  
Recursive Decomposition ◽  
Multi Scale ◽  
Recursive Decomposition Algorithm

scholarly journals Recursive strategy for decomposing Betti tables of complete intersections

2019 ◽  
Vol 29 (07) ◽  
pp. 1165-1191
Author(s):  
Courtney R. Gibbons ◽  
Robert Huben ◽  
Branden Stone
Keyword(s):  
Detailed Analysis ◽  
Complete Intersection ◽  
Main Tool ◽  
Decomposition Algorithm ◽  
Complete Intersections ◽  
Recursive Decomposition ◽  
Alternative Algorithm ◽  
Size Condition ◽  
Recursive Decomposition Algorithm ◽  
Betti Diagram

In the spirit of Boij–Söderberg theory, we introduce a recursive decomposition algorithm for the Betti diagram of a complete intersection using the diagram of a complete intersection defined by a subset of the original generators. This alternative algorithm is the main tool that we use to investigate stability and compatibility of the Boij–Söderberg decompositions of related diagrams; indeed, when the biggest generating degree is sufficiently large, the alternative algorithm produces the Boij–Söderberg decomposition. We also provide a detailed analysis of the Boij–Söderberg decomposition for Betti diagrams of codimension four complete intersections where the largest generating degree satisfies the size condition.

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