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- W3186187718 abstract "In this paper we deal with the calculation of the signed (total) Roman domination numbers, $gamma_{sR}$ and $gamma_{stR}$ respectively, on a few classes of planar graphs from the literature. We give proofs for the exact values of the numbers $gamma_{sR}(A_n)$ and $gamma_{sR}(R_n)$ as well as the numbers $gamma_{stR}(S_n)$ and $gamma_{stR}(T_n)$. For some other classes of planar graphs, such as $Q_n$, %$S_n$ and $T_n$, lower and upper bounds on $gamma_{sR}$ are calculated and proved. %We give some open problems on the exact values of $gamma_{sR}$ and $gamma_{stR}$ for some classes of planar graphs." @default.
- W3186187718 created "2021-08-02" @default.
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- W3186187718 date "2021-07-17" @default.
- W3186187718 modified "2023-09-27" @default.
- W3186187718 title "The Signed (Total) Roman Domination Problem on some Classes of Planar Graphs -- Convex Polytopes" @default.
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