Some sharp bounds on the average Steiner (k, l)-eccentricity for trees
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909695986368512 |
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| author | Zeng, Cheng Li, Gengji |
| author_facet | Zeng, Cheng Li, Gengji |
| contents | In this paper we introduce some transformations for trees that do not increase the average Steiner $(k,l)$-eccentricity for all $0\leq l\leq k\leq n$. Using these transformations, we obtain some sharp bounds on the average Steiner $(k,l)$-eccentricity for trees with some certain conditions, including given nodes, given diameter, given max degree and given leaves, and get the corresponding extremal trees as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17915 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some sharp bounds on the average Steiner (k, l)-eccentricity for trees Zeng, Cheng Li, Gengji Combinatorics 05C05, 05C09 In this paper we introduce some transformations for trees that do not increase the average Steiner $(k,l)$-eccentricity for all $0\leq l\leq k\leq n$. Using these transformations, we obtain some sharp bounds on the average Steiner $(k,l)$-eccentricity for trees with some certain conditions, including given nodes, given diameter, given max degree and given leaves, and get the corresponding extremal trees as well. |
| title | Some sharp bounds on the average Steiner (k, l)-eccentricity for trees |
| topic | Combinatorics 05C05, 05C09 |
| url | https://arxiv.org/abs/2506.17915 |