Journal of Hebei University(Natural Science Edition) ›› 2023, Vol. 43 ›› Issue (5): 449-452.DOI: 10.3969/j.issn.1000-1565.2023.05.001

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Upper bounds on the double Roman domination number in graphs

HAO Guoliang1,2,ZHUANG Wei3,XIE Zhihong4,ZENG Shuting2   

  1. 1. School of Mathematics and Statistics, Heze University, Heze 274015, China; 2.College of Science, East China University of Technology, Nanchang 330013, China; 3. School of Mathematics and Statistics, Xiamen University of Technology, Xiamen 361024, China; 4. School of Business, Heze University, Heze 274015, China
  • Received:2021-05-19 Online:2023-09-25 Published:2023-10-25

Abstract: By analyzing the structure of a graph and using the graph parameters, such as the number of vertices, diameter, minimum degree and packing number, some new upper bounds of the double Roman domination number of a connected graph are obtained.

Key words: double Roman dominating function, double Roman domination number, diameter, packing number

CLC Number: