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CHARACTERIZATION OF T-REGULAR GRAPHS UNDER GRAPH OPERATIONS AND PRODUCTS.

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Title: CHARACTERIZATION OF T-REGULAR GRAPHS UNDER GRAPH OPERATIONS AND PRODUCTS.
Authors: Seena, V.1 seenav@christcollegeijk.edu.in, Pilakkat, Raji2
Source: Advances & Applications in Discrete Mathematics. May2026, Vol. 43 Issue 4, p527-542. 16p.
Subjects: Regular graphs, Graph theory, Kronecker products, Subgraphs
Abstract: A graph G is said to be T-regular if for any clique Q of G and any vertex v outside Q, there exists a cover C of Q in G, and an edge e incident with v such that e is not incident with any vertices of V(C). In this paper, we characterize T-regular graphs and study their behaviour under graph operations and graph products. Also, we derive sufficient conditions for join of two graphs, Cartesian, tensor and strong products of two graphs to be T-regular. [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: CHARACTERIZATION OF T-REGULAR GRAPHS UNDER GRAPH OPERATIONS AND PRODUCTS.
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  Data: <searchLink fieldCode="AR" term="%22Seena%2C+V%2E%22">Seena, V.</searchLink><relatesTo>1</relatesTo><i> seenav@christcollegeijk.edu.in</i><br /><searchLink fieldCode="AR" term="%22Pilakkat%2C+Raji%22">Pilakkat, Raji</searchLink><relatesTo>2</relatesTo>
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  Data: <searchLink fieldCode="DE" term="%22Regular+graphs%22">Regular graphs</searchLink><br /><searchLink fieldCode="DE" term="%22Graph+theory%22">Graph theory</searchLink><br /><searchLink fieldCode="DE" term="%22Kronecker+products%22">Kronecker products</searchLink><br /><searchLink fieldCode="DE" term="%22Subgraphs%22">Subgraphs</searchLink>
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  Data: A graph G is said to be T-regular if for any clique Q of G and any vertex v outside Q, there exists a cover C of Q in G, and an edge e incident with v such that e is not incident with any vertices of V(C). In this paper, we characterize T-regular graphs and study their behaviour under graph operations and graph products. Also, we derive sufficient conditions for join of two graphs, Cartesian, tensor and strong products of two graphs to be T-regular. [ABSTRACT FROM AUTHOR]
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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: 10.17654/0974165826034
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      – Code: eng
        Text: English
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        PageCount: 16
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      – SubjectFull: Regular graphs
        Type: general
      – SubjectFull: Graph theory
        Type: general
      – SubjectFull: Kronecker products
        Type: general
      – SubjectFull: Subgraphs
        Type: general
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      – TitleFull: CHARACTERIZATION OF T-REGULAR GRAPHS UNDER GRAPH OPERATIONS AND PRODUCTS.
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            NameFull: Seena, V.
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            – D: 01
              M: 05
              Text: May2026
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              Y: 2026
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            – TitleFull: Advances & Applications in Discrete Mathematics
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