CMSO-transductions are given for the modular, split and bi-join decompositions of graphs, plus a generalization to weakly-partitive set systems.
The monadic second-order logic of graphs X: linear orderings
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CMSO-transducing tree-like graph decompositions
CMSO-transductions are given for the modular, split and bi-join decompositions of graphs, plus a generalization to weakly-partitive set systems.