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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.11782 |
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| _version_ | 1866916741954666496 |
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| author | Metsidik, Metrose Xiao, Lixiao |
| author_facet | Metsidik, Metrose Xiao, Lixiao |
| contents | $f$-vertex stability number $vs_f(G)=\min\{|X|: X\subseteq V(G) \enspace \text{and} \enspace f(G-X)\neq f(G)\}$, and $f$-edge stability number is defined similarly by setting $X\subseteq E(G)$. In this paper, for multiplicative and mining invariant $f$, we give some general bounds for $f$-vertex/edge stability numbers of graphs and some results about the relations between the $f$-vertex/edge stability numbers of graphs and their components. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11782 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multiplicative and mining property for stability numbers of graphs Metsidik, Metrose Xiao, Lixiao Combinatorics $f$-vertex stability number $vs_f(G)=\min\{|X|: X\subseteq V(G) \enspace \text{and} \enspace f(G-X)\neq f(G)\}$, and $f$-edge stability number is defined similarly by setting $X\subseteq E(G)$. In this paper, for multiplicative and mining invariant $f$, we give some general bounds for $f$-vertex/edge stability numbers of graphs and some results about the relations between the $f$-vertex/edge stability numbers of graphs and their components. |
| title | Multiplicative and mining property for stability numbers of graphs |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2505.11782 |