More on independent transversal domination P. Roushini Leely Pushpam, K. Priya Bhanthavi Discrete Mathematics Algorithms and Applications, 2024 A set [Formula: see text] of vertices in a graph [Formula: see text] is called a dominating set if every vertex in [Formula: see text] is adjacent to a vertex in [Formula: see text]. Hamid defined a dominating set which intersects every maximum independent set in [Formula: see text] to be an independent transversal dominating set. The minimum cardinality of an independent transversal dominating set is called the independent transversal domination number of [Formula: see text] and is denoted by [Formula: see text]. In this paper we prove that for trees [Formula: see text], [Formula: see text] is bounded above by [Formula: see text] and characterize the extremal trees. Further, we characterize the class of all trees whose independent transversal domination number does not alter owing to the deletion of an edge.
The stability of independent transversal domination in trees P. Roushini Leely Pushpam, K. Priya Bhanthavi Discrete Mathematics Algorithms and Applications, 2021 A set [Formula: see text] of vertices in a graph [Formula: see text] is called a dominating set if every vertex in [Formula: see text] is adjacent to a vertex in [Formula: see text]. An independent transversal dominating set in a graph [Formula: see text] is a dominating set which intersects every maximum independent set of [Formula: see text]. The minimum cardinality of an independent transversal dominating set is called the independent transversal domination number of [Formula: see text] denoted by [Formula: see text]. In this paper, we characterize those trees whose independent transversal domination number does not alter owing to the deletion of a vertex.
Independent transversal domination subdivision number of trees P Pushpam, KP Bhanthavi Communications in Combinatorics and Optimization 11 (2), 387-405 , 2026 2026 Citations: 1
independent transversal domination subdivision number of trees PRLKP Bhanthavi communications in combinatorics and optimization 23, 1to19 , 2024 2024
More on independent transversal domination in trees PRL pushpam Discrete Mathematics Algorithms and Applications , 2023 2023
The stability of independent transversal domination in trees P Roushini Leely Pushpam, K Priya Bhanthavi Discrete Mathematics, Algorithms and Applications 13 (01), 2050097 , 2021 2021 Citations: 2
The stability of Independent transversal domination in trees PRLPKP BHANTHAVI Discrete mathematics , Algorithms and applications 13 (1) , 2021 2021
Independent transversal domination in some regular graphs PRLPKP BHANTHAVI Advances and applications in mathematical sciences 19 (2), 77-95 , 2019 2019
Domatic Independent transversal domination in Graphs PRLPKP BHANTHAVI International journal of research and analytic reviews 6 (2) , 2019 2019
The Independent Transversal Dombondage Number of a Graph PRL Pushpam, KP Bhanthavi Electronic Notes in Discrete Mathematics 53, 199-211 , 2016 2016 Citations: 2
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The stability of independent transversal domination in trees P Roushini Leely Pushpam, K Priya Bhanthavi Discrete Mathematics, Algorithms and Applications 13 (01), 2050097 , 2021 2021 Citations: 2
The Independent Transversal Dombondage Number of a Graph PRL Pushpam, KP Bhanthavi Electronic Notes in Discrete Mathematics 53, 199-211 , 2016 2016 Citations: 2
Independent transversal domination subdivision number of trees P Pushpam, KP Bhanthavi Communications in Combinatorics and Optimization 11 (2), 387-405 , 2026 2026 Citations: 1
independent transversal domination subdivision number of trees PRLKP Bhanthavi communications in combinatorics and optimization 23, 1to19 , 2024 2024
More on independent transversal domination in trees PRL pushpam Discrete Mathematics Algorithms and Applications , 2023 2023
The stability of Independent transversal domination in trees PRLPKP BHANTHAVI Discrete mathematics , Algorithms and applications 13 (1) , 2021 2021
Independent transversal domination in some regular graphs PRLPKP BHANTHAVI Advances and applications in mathematical sciences 19 (2), 77-95 , 2019 2019
Domatic Independent transversal domination in Graphs PRLPKP BHANTHAVI International journal of research and analytic reviews 6 (2) , 2019 2019