TOTAL CO-INDEPENDENT DOMINATION IN CARTESIAN PRODUCT OF GRAPHS WITH HYPERCUBES AND ITS VARIANTS.

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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.)
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  Data: TOTAL CO-INDEPENDENT DOMINATION IN CARTESIAN PRODUCT OF GRAPHS WITH HYPERCUBES AND ITS VARIANTS.
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  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>
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  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.
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  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
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  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:
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  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.)
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        Value: 10.17654/0974165826029
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      – Code: eng
        Text: English
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        PageCount: 17
        StartPage: 451
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      – SubjectFull: Dominating set
        Type: general
      – SubjectFull: Complete graphs
        Type: general
      – SubjectFull: Graph connectivity
        Type: general
      – SubjectFull: Hypercubes
        Type: general
      – SubjectFull: Graph theory
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      – TitleFull: TOTAL CO-INDEPENDENT DOMINATION IN CARTESIAN PRODUCT OF GRAPHS WITH HYPERCUBES AND ITS VARIANTS.
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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              Value: 43
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