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Information Journal Paper

Title

On computing total double Roman domination number of trees in linear time

Pages

  131-137

Abstract

 Let G = (V; E) be a graph. A double Roman dominating function (DRDF) on G is a function f: V! f0; 1; 2; 3g such that for every vertex v 2 V if f(v) = 0, then either there is a vertex u adjacent to v with f(u) = 3 or there are vertices x and y adjacent to v with f(x) = f(y) = 2 and if f(v) = 1, then there is a vertex u adjacent to v with f(u)  2. A DRDF f on G is a total DRDF (TDRDF) if for any v 2 V with f(v) > 0 there is a vertex u adjacent to v with f(u) > 0. The weight of f is the sum f(V ) = P v2V f(v). The minimum weight of a TDRDF on G is the total double Roman domination number of G. In this paper, we give a linear algorithm to compute the total double Roman domination number of a given Tree.

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    APA: Copy

    Poureidi, Abolfazl. (2020). On computing total double Roman domination number of trees in linear time. JOURNAL OF ALGORITHMS AND COMPUTATION, 52(1), 131-137. SID. https://sid.ir/paper/354593/en

    Vancouver: Copy

    Poureidi Abolfazl. On computing total double Roman domination number of trees in linear time. JOURNAL OF ALGORITHMS AND COMPUTATION[Internet]. 2020;52(1):131-137. Available from: https://sid.ir/paper/354593/en

    IEEE: Copy

    Abolfazl Poureidi, “On computing total double Roman domination number of trees in linear time,” JOURNAL OF ALGORITHMS AND COMPUTATION, vol. 52, no. 1, pp. 131–137, 2020, [Online]. Available: https://sid.ir/paper/354593/en

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