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Number of Dominating Sets in Cylindric Square Grid Graphs
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Oh, Seungsang | - |
| dc.date.accessioned | 2022-02-28T09:41:56Z | - |
| dc.date.available | 2022-02-28T09:41:56Z | - |
| dc.date.created | 2022-02-09 | - |
| dc.date.issued | 2021-07 | - |
| dc.identifier.issn | 0911-0119 | - |
| dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/137238 | - |
| dc.description.abstract | A dominating set of a graph is a subset D of the vertices such that every vertex not in D is adjacent to some vertex of D. In this paper, we introduce several variants of dominating sets in the square grid, periodic square grid and cylindric square grid by considering translation symmetry. We provide their exact enumerations in terms of domination polynomials. We also analyze the asymptotic behavior of the growth rates of their cardinality. | - |
| dc.language | English | - |
| dc.language.iso | en | - |
| dc.publisher | SPRINGER JAPAN KK | - |
| dc.title | Number of Dominating Sets in Cylindric Square Grid Graphs | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Oh, Seungsang | - |
| dc.identifier.doi | 10.1007/s00373-021-02323-8 | - |
| dc.identifier.scopusid | 2-s2.0-85105115585 | - |
| dc.identifier.wosid | 000645058800001 | - |
| dc.identifier.bibliographicCitation | GRAPHS AND COMBINATORICS, v.37, no.4, pp.1357 - 1372 | - |
| dc.relation.isPartOf | GRAPHS AND COMBINATORICS | - |
| dc.citation.title | GRAPHS AND COMBINATORICS | - |
| dc.citation.volume | 37 | - |
| dc.citation.number | 4 | - |
| dc.citation.startPage | 1357 | - |
| dc.citation.endPage | 1372 | - |
| dc.type.rims | ART | - |
| dc.type.docType | Article | - |
| dc.description.journalClass | 1 | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics | - |
| dc.subject.keywordAuthor | Cylindric square grid | - |
| dc.subject.keywordAuthor | Dominating set | - |
| dc.subject.keywordAuthor | Domination polynomial | - |
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