10.46243/jstj.2020.v5.i1.229 registered
Geodetic Dominating Set and Geodetic Domination Polynomials of Extended Grid Graphs
Resolves to https://www.jst.org.in/index.php/pub/article/view/229
Held by Longman Publishers (India) · prefix 10.46243 live · DOI address https://doi.org/10.46243/jstj.2020.v5.i1.229
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JournalArticle — an article in a journal · Digital · Visual · en
Geodetic Dominating Set and Geodetic Domination Polynomials of Extended Grid Graphs (PrincipalTitle)
Published 2020-01-02
Part of Journal of Science & Technology · ISSN 2456-5660 · volume 05 · issue 01 · pages 09–16
Agents
- N.Jaspin Beaula (author)
- Dr.A Vijayan (author)
- Longman Publishers (publisher)
Identifiers DOI 10.46243/jstj.2020.v5.i1.229
Abstract
Let G = (V,E) be a simple graph. A set S V is a dominating set of G, if every vertex in V− S is adjacent to atleast one vertex S. Let Dg(Gn, i) be the family of geodetic dominating sets of the graph Gn with cardinality 'i'. Let dg(Gn, i) = | Dg(Gn, i)|. In this paper, we obtain a recursive for dg(Gn, i). Using the recursive formula, we construct the polynomial, g(Gn) = n + 1 2 , g(Gn − {2n}) = n + 1 2 which we call geodetic dominating polynomial of Gn and obtain some properties of this polynomial.
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| Element | Value | In the record |
|---|---|---|
| DOI Name DOI name | 10.46243/jstj.2020.v5.i1.229 | doi |
| Referent Type referentType | Creation | referent |
| Referent Sub-Type referentSubType | JournalArticle — an article in a journal | type |
| Referent Name(s) referentName(s) | Geodetic Dominating Set and Geodetic Domination Polynomials of Extended Grid Graphs (PrincipalTitle, en) | titles |
| Basic Metadata basicMetadata | author: N.Jaspin Beaula author: Dr.A Vijayan publisher: Longman Publishers published: 2020-01-02 part of: Journal of Science & Technology · ISSN 2456-5660 · vol. 05 · no. 01 · pp. 09–16 language: en form: Digital · Visual · Language | agents, dates, container, language, structural_type, modes, characters |
| Referent Identifier(s) alternateIdentifier(s) | none besides the DOI | identifiers, relations (IsSameAs) |
| Registration Authority registrationAuthorityCode | Crossref — issued by Crossref (member 25296); held here as a copy | record.source_agency (our code, ra_doi_name, for names issued here once appointed) |
| Created Date issueDate | 2026-09-08 | record.registered (when the DOI name was first registered) |
| relatedIdentifiers | none needed — the descriptive metadata is in this record | container, relations (only where the descriptive metadata lives at another identifier) |
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| # | When | What | By | Changes |
|---|---|---|---|---|
| 1 | 29 Sep 2026, 10:00 PM | register registered at Crossref; record read from api.crossref.org | Administrator (admin) | 81 fields set · sha256 976f565a87b1… |
| 2 | 29 Sep 2026, 11:59 PM | update record re-read from api.crossref.org | Administrator (admin) | container.titles.0.value: |
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