New Bounds on the Triple Roman Domination Number of Graphs

In this paper, we derive sharp upper and lower bounds on the sum γ3RG+γ3RG¯ and product γ3RGγ3RG¯, where G¯ is the complement of graph G. We also show that for each tree T of order n≥2, γ3RT≤3n+sT/2 and γ3RT≥⌈4nT+2−ℓT/3⌉, where sT and ℓT are the number of support vertices and leaves of T....

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Bibliographic Details
Main Authors: M. Hajjari, H. Abdollahzadeh Ahangar, R. Khoeilar, Z. Shao, S. M. Sheikholeslami
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/9992618
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