Geodesic
Stable Components and Layers
Canadian mathematical bulletin, Tome 63 (2020) no. 3, pp. 562-576

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DOI

Component graphs $\unicode[STIX]{x1D6E4}_{0}(F)$ are defined for arrays of sets $F$, and, in particular, for arrays of path components for Vietoris–Rips complexes and Lesnick complexes. The path components of $\unicode[STIX]{x1D6E4}_{0}(F)$ are the stable components of the array $F$. The stable components for the system of Lesnick complexes $\{L_{s,k}(X)\}$ for a finite data set $X$ decompose into layers, which are themselves path components of a graph. Combinatorial scoring functions are defined for layers and stable components.
DOI : 10.4153/S000843951900064X
Mots-clés : cluster, graph, stable component, layer 
Jardine, J. F. Stable Components and Layers. Canadian mathematical bulletin, Tome 63 (2020) no. 3, pp. 562-576. doi: 10.4153/S000843951900064X
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     title = {Stable {Components} and {Layers}},
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     year = {2020},
     volume = {63},
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     doi = {10.4153/S000843951900064X},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S000843951900064X/}
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