On a generalization of Roman domination with more legions
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866918048473022464 |
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| author | Ghasr, Fahimeh Khosh-Ahang |
| author_facet | Ghasr, Fahimeh Khosh-Ahang |
| contents | In this note, we generalize the concepts of (perfect) Roman and Italian dominations to (perfect) strong Roman and Roman k-domination for arbitrary positive integer k. These generalizations cover some of previous ones. After some comparison of their domination numbers, as a first study of these concepts, we study the (perfect, strong, perfect strong) Roman k-domination numbers of complete bipartite graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_08935 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On a generalization of Roman domination with more legions Ghasr, Fahimeh Khosh-Ahang Combinatorics In this note, we generalize the concepts of (perfect) Roman and Italian dominations to (perfect) strong Roman and Roman k-domination for arbitrary positive integer k. These generalizations cover some of previous ones. After some comparison of their domination numbers, as a first study of these concepts, we study the (perfect, strong, perfect strong) Roman k-domination numbers of complete bipartite graphs. |
| title | On a generalization of Roman domination with more legions |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2212.08935 |