Game number of double generalized petersen graphs

Muhammad Shahzad Akhtar; Syed Ahtsham Ul Haq Bokhary

Game number of double generalized petersen graphs

Authors

Muhammad Shahzad Akhtar
Syed Ahtsham Ul Haq Bokhary

Keywords:

coloring of graphs; game chromatic number; double general- ized petersen graph.

Abstract

The game chromatic number χg of double generalized petersen graph DP (n, m) is investigated. The definite values for the game chromatic number of DP (n, 1), DP (n, 2), DP (n, 3) and DP (n, m) are determined. These results extend the previous work of Shaheen, Ramy, Ziad Kanaya and Khaled Alshehada, who ex- plored the game chromatic number of generalized petersen graphs and jahangir graphs.

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Published

2022-12-31

How to Cite

Muhammad Shahzad Akhtar, & Syed Ahtsham Ul Haq Bokhary. (2022). Game number of double generalized petersen graphs. Utilitas Mathematica, 119, 9–17. Retrieved from https://utilitasmathematica.com/index.php/Index/article/view/1544