Splitting and merging operations with compatibility conditions axiomatize and unify MAT-labeled complete graphs, regular vines, and maximal Arrow single-peaked domains, with further links to extremal lattices and triangle-free binary matrices.
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An axiomatic framework from splitting and merging in MAT-labeled graphs, vines, and single-peaked domains
Splitting and merging operations with compatibility conditions axiomatize and unify MAT-labeled complete graphs, regular vines, and maximal Arrow single-peaked domains, with further links to extremal lattices and triangle-free binary matrices.