Total Domination number of Generalized Petersen Graphs
Jianxiang CAO, Weiguo LIN, Minyong SHI
.
DOI: 10.4236/iim.2009.11003   PDF         5,289 Downloads   10,646 Views   Citations

Abstract

Generalized Petersen graphs are an important class of commonly used interconnection networks and have been studied . The total domination number of generalized Petersen graphs P(m,2) is obtained in this paper.

Share and Cite:

J. CAO, W. LIN and M. SHI, "Total Domination number of Generalized Petersen Graphs," Intelligent Information Management, Vol. 1 No. 1, 2009, pp. 14-17. doi: 10.4236/iim.2009.11003.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Huang Jia, On Domination-Stability of Graphs. The doctoral dissertation of the Univerisity of Science and Technology og China.(in Chinese) (黃佳,圖的控制穩定性研究. 中國科技大學博士論文,2007).
[2] Bnaani K. Hamiltonian cycles in generalized Petersen graphs [J]. J Combinatorial Theory, 1978, 181-183.).
[3] Exoo G, Harary F, Kabell J. The crossing numbers of some generalized Petersen graphs [J]. Math Scand, 1981, 184-188.).
[4] Hou Xin-min, Wang Tian-ming. Wide diameters of generalized Petersen graphs [J]. Journal of Mathematical Research and Exposition, 2004, 24(2): 249-253.).
[5] QI Deng-ji, Domination Number of Generalized Petersen Graphs (m is odd) , Journal of Qingdao University of Science and Technology , Vol . 26 No. 1 Apr . 2005, 92-94(in Chinese) (齊登記. 廣義Petersen圖的控制數——當m是奇數時P(m,2)的控制數[J]. 青島科技大學學報(自然科學版), 2005, 26(1): 92-94).).
[6] QI Deng-ji, Domination Number of Generalized Petersen Graphs (m is even) , Journal of Qingdao University of Science and Technology , Vol . 26 No. 2 Apr . 2005, 181-183(in Chinese)(齊登記. 廣義Petersen圖的控制數——當m是偶數時P(m,2)的控制數[J]. 青島科技大學學報(自然科學版), 2005, 26(2): 181-183).).
[7] Bondy J A, Murty U S R. Graph theory with applications [M]. New York: North-Holland, 1976.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.