On The Total Roman Domination in Trees

A total Roman dominating function on a graph G is a function f : V (G) → {0, 1, 2} satisfying the following conditions: (i) every vertex u for which f(u) = 0 is adjacent to at least one vertex v for which f(v) = 2 and (ii) the subgraph of G induced by the set of all vertices of positive weight has n...

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Bibliographic Details
Main Authors: Amjadi Jafar, Sheikholeslami Seyed Mahmoud, Soroudi Marzieh
Format: Article
Language:English
Published: Sciendo 2019-05-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2099