TOTAL CO-INDEPENDENT DOMINATION IN CARTESIAN PRODUCT OF GRAPHS WITH HYPERCUBES AND ITS VARIANTS.
Saved in:
| Title: | TOTAL CO-INDEPENDENT DOMINATION IN CARTESIAN PRODUCT OF GRAPHS WITH HYPERCUBES AND ITS VARIANTS. |
|---|---|
| Authors: | Sonkamble, R. A.1 sonkamblerama@gmail.com, Patekar, S. C.1 shri82patekar@gmail.com, Waphare, B. N.1 bnwaphare@gmail.com |
| Source: | Advances & Applications in Discrete Mathematics. May2026, Vol. 43 Issue 4, p451-467. 17p. |
| Subjects: | Dominating set, Complete graphs, Graph connectivity, Hypercubes, Graph theory |
| Abstract: | In this paper, we study the total co-independent domination (TC-ID) number of various classes of graphs and their Cartesian products. We determine the TC-ID number for Cartesian products of complete graphs taken finitely many times, as well as for the Cartesian product of a complete graph with an arbitrary connected graph. Furthermore, we obtain additional results on the TC-ID number. [ABSTRACT FROM AUTHOR] |
| Copyright of Advances & Applications in Discrete Mathematics is the property of Pushpa Publishing House and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 195267875 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: TOTAL CO-INDEPENDENT DOMINATION IN CARTESIAN PRODUCT OF GRAPHS WITH HYPERCUBES AND ITS VARIANTS. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Sonkamble%2C+R%2E+A%2E%22">Sonkamble, R. A.</searchLink><relatesTo>1</relatesTo><i> sonkamblerama@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Patekar%2C+S%2E+C%2E%22">Patekar, S. C.</searchLink><relatesTo>1</relatesTo><i> shri82patekar@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Waphare%2C+B%2E+N%2E%22">Waphare, B. N.</searchLink><relatesTo>1</relatesTo><i> bnwaphare@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Advances+%26+Applications+in+Discrete+Mathematics%22">Advances & Applications in Discrete Mathematics</searchLink>. May2026, Vol. 43 Issue 4, p451-467. 17p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Dominating+set%22">Dominating set</searchLink><br /><searchLink fieldCode="DE" term="%22Complete+graphs%22">Complete graphs</searchLink><br /><searchLink fieldCode="DE" term="%22Graph+connectivity%22">Graph connectivity</searchLink><br /><searchLink fieldCode="DE" term="%22Hypercubes%22">Hypercubes</searchLink><br /><searchLink fieldCode="DE" term="%22Graph+theory%22">Graph theory</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we study the total co-independent domination (TC-ID) number of various classes of graphs and their Cartesian products. We determine the TC-ID number for Cartesian products of complete graphs taken finitely many times, as well as for the Cartesian product of a complete graph with an arbitrary connected graph. Furthermore, we obtain additional results on the TC-ID number. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Advances & Applications in Discrete Mathematics is the property of Pushpa Publishing House and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=195267875 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.17654/0974165826029 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 17 StartPage: 451 Subjects: – SubjectFull: Dominating set Type: general – SubjectFull: Complete graphs Type: general – SubjectFull: Graph connectivity Type: general – SubjectFull: Hypercubes Type: general – SubjectFull: Graph theory Type: general Titles: – TitleFull: TOTAL CO-INDEPENDENT DOMINATION IN CARTESIAN PRODUCT OF GRAPHS WITH HYPERCUBES AND ITS VARIANTS. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Sonkamble, R. A. – PersonEntity: Name: NameFull: Patekar, S. C. – PersonEntity: Name: NameFull: Waphare, B. N. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 09741658 Numbering: – Type: volume Value: 43 – Type: issue Value: 4 Titles: – TitleFull: Advances & Applications in Discrete Mathematics Type: main |
| ResultId | 1 |