An improved cut-based recursive decomposition algorithm for reliability analysis of networks

2012 ◽  
Vol 11 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Wei Liu ◽  
Jie Li
Keyword(s):  
Reliability Analysis ◽  
Decomposition Algorithm ◽  
Recursive Decomposition ◽  
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.

scholarly journals A New Recursive Decomposition Algorithm to Calculate IMDCT

2013 ◽  
Vol 5 ◽  
pp. 177-182
Author(s):  
Hui Li ◽  
Yiwen Wang ◽  
Ping Li ◽  
Yunyi Li
Keyword(s):  
Decomposition Algorithm ◽  
Recursive Decomposition ◽  
Recursive Decomposition Algorithm
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