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Changes for page Split

Last modified by 14zunde on 2025/02/04 07:04
From version 46.1
edited by 13haugen
on 2024/02/13 07:39
Change comment: Renamed back-links.
To version 48.1
edited by 14zunde
on 2024/02/13 07:40
Change comment: Renamed back-links.

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1 -XWiki.13haugen
1 +XWiki.14zunde
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10 10  
11 11  ==== Compatible splits (incompatible splits) ====
12 12  
13 -Two distinct splits //A//|//B// and //C//|//D// of a set are called //compatible// if one of the intersections //A// ∩ //C//, //A// ∩ //D//, //B// ∩ //C//, and //B// ∩ //D// is empty. Two splits are called //incompatible// if they are not compatible. Note that in a [[phylogenetic tree>>doc:Phylogenetic tree]] with [[leaf>>doc:stemmatology.Leaf.WebHome]] set //X//, each of the [[edges>>doc:stemmatology.Edge.WebHome]] induces a split of //X//, and that the two splits induced by any pair of distinct edges in the [[tree>>doc:Tree]] are compatible.
13 +Two distinct splits //A//|//B// and //C//|//D// of a set are called //compatible// if one of the intersections //A// ∩ //C//, //A// ∩ //D//, //B// ∩ //C//, and //B// ∩ //D// is empty. Two splits are called //incompatible// if they are not compatible. Note that in a [[phylogenetic tree>>doc:stemmatology.Phylogenetic tree.WebHome]] with [[leaf>>doc:stemmatology.Leaf.WebHome]] set //X//, each of the [[edges>>doc:stemmatology.Edge.WebHome]] induces a split of //X//, and that the two splits induced by any pair of distinct edges in the [[tree>>doc:Tree]] are compatible.
14 14  
15 15  ==== Compatible split system ====
16 16  
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37 37  English term used throughout
38 38  
39 39  
40 -[[VM>>doc:Contributors]], [[KH>>doc:Contributors]]
40 +[[VM>>doc:stemmatology.Parvum lexicon stemmatologicum.Contributors.WebHome]], [[KH>>doc:stemmatology.Parvum lexicon stemmatologicum.Contributors.WebHome]]