Total Roman domination on the digraphs

Let D=(V,A)D=\left(V,A) be a simple digraph with vertex set VV, arc set AA, and no isolated vertex. A total Roman dominating function (TRDF) of DD is a function h:V→{0,1,2}h:V\to \left\{0,1,2\right\}, which satisfies that each vertex x∈Vx\in V with h(x)=0h\left(x)=0 has an in-neighbour y∈Vy\in V wit...

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Bibliographic Details
Main Authors: Zhang Xinhong, Song Xin, Li Ruijuan
Format: Article
Language:English
Published: De Gruyter 2023-04-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2022-0575