On a weighted generalization of Kendall's tau distance
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912169224830976 |
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| author | Piek, Albert Bruno Petrov, Evgeniy |
| author_facet | Piek, Albert Bruno Petrov, Evgeniy |
| contents | We introduce a metric on the set of permutations of given order, which is a weighted generalization of Kendall's $τ$ rank distance and study its properties. Using the edge graph of a permutohedron, we give a criterion which guarantees that a permutation lies metrically between another two fixed permutations. In addition, the conditions under which four points from the resulting metric space form a pseudolinear quadruple were found. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18400 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a weighted generalization of Kendall's tau distance Piek, Albert Bruno Petrov, Evgeniy General Topology Combinatorics 54E35, 05A05, 05C35 We introduce a metric on the set of permutations of given order, which is a weighted generalization of Kendall's $τ$ rank distance and study its properties. Using the edge graph of a permutohedron, we give a criterion which guarantees that a permutation lies metrically between another two fixed permutations. In addition, the conditions under which four points from the resulting metric space form a pseudolinear quadruple were found. |
| title | On a weighted generalization of Kendall's tau distance |
| topic | General Topology Combinatorics 54E35, 05A05, 05C35 |
| url | https://arxiv.org/abs/2412.18400 |