Article
| Title: | Saturation numbers for linear forests $P_6 + tP_2$ (English) |
| Author: | Yan, Jingru |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 73 |
| Issue: | 4 |
| Year: | 2023 |
| Pages: | 1007-1016 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | A graph $G$ is $H$-saturated if it contains no $H$ as a subgraph, but does contain $H$ after the addition of any edge in the complement of $G$. The saturation number, ${\rm sat} (n, H)$, is the minimum number of edges of a graph in the set of all $H$-saturated graphs of order $n$. We determine the saturation number ${\rm sat} (n, P_6 + tP_2)$ for $n \geq \frac {10}{3} t + 10$ and characterize the extremal graphs for $n > \frac {10}{3} t + 20$. (English) |
| Keyword: | saturation number |
| Keyword: | saturated graph |
| Keyword: | linear forest |
| MSC: | 05C35 |
| MSC: | 05C38 |
| DOI: | 10.21136/CMJ.2023.0001-22 |
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| Date available: | 2023-11-23T12:19:48Z |
| Last updated: | 2023-11-27 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151945 |
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