EN
On Domination Polynomials of Caterpillar Graphs
Abstract
The domination polynomial of a simple graph is calculated with such that is the number of the dominating sets of G of size . In this paper we study the domination polynomials of caterpillar graphs.
Keywords
References
- Alikhani, S., Peng, Y.H., Dominating sets and domination polynomial of cycles, Global Journal of Pure and Applied Mathematics, 4(2)(2008), 151–162.
- Alikhani, S., Peng, Y.H., Domination polynomials of cubic graphs of order 10, Turk. J. Math., 35(3)(2011), 355–366.
- Alikhani, S., Peng, Y.H., Introduction to domination polynomial of a graph, Ars Combin., 114(2014), 257–266.
- Gutman, I., Some analytic properties of the independence and matching polynomials, Match., 28(1992), 139–150.
- Haynes, T.W., Hedetniemi, S.T., Slater, P.J., Fundamentals of Domination in Graphs, Marcel Dekker, New York, 1998.
- Klavzar, S., Mollard, M., Wiener index and Hosoya polynomial of Fibonacci and Lucas qubes, MATCH Commun. Math. Comput. Chem., 68(2012), 311–324.
- Majstorovic, S., Doslic, T., Klobucar, A., k-domination on hexagonal cactus chains, Kragujevac Journal of Mathematics, 2(2012), 335–347.
- Vukicevic, D., Klobucar A., k-dominating sets on linear benzenoids and on the infinite hexagonal grid, Croatica Chemica Acta, 80(2)(2007), 187–191.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
December 28, 2018
Submission Date
June 14, 2018
Acceptance Date
October 31, 2018
Published in Issue
Year 2018 Volume: 9
APA
Şahin, B., & Şahin, A. (2018). On Domination Polynomials of Caterpillar Graphs. Turkish Journal of Mathematics and Computer Science, 9, 34-38. https://izlik.org/JA52FF35YF
AMA
1.Şahin B, Şahin A. On Domination Polynomials of Caterpillar Graphs. TJMCS. 2018;9:34-38. https://izlik.org/JA52FF35YF
Chicago
Şahin, Bünyamin, and Abdulgani Şahin. 2018. “On Domination Polynomials of Caterpillar Graphs”. Turkish Journal of Mathematics and Computer Science 9 (December): 34-38. https://izlik.org/JA52FF35YF.
EndNote
Şahin B, Şahin A (December 1, 2018) On Domination Polynomials of Caterpillar Graphs. Turkish Journal of Mathematics and Computer Science 9 34–38.
IEEE
[1]B. Şahin and A. Şahin, “On Domination Polynomials of Caterpillar Graphs”, TJMCS, vol. 9, pp. 34–38, Dec. 2018, [Online]. Available: https://izlik.org/JA52FF35YF
ISNAD
Şahin, Bünyamin - Şahin, Abdulgani. “On Domination Polynomials of Caterpillar Graphs”. Turkish Journal of Mathematics and Computer Science 9 (December 1, 2018): 34-38. https://izlik.org/JA52FF35YF.
JAMA
1.Şahin B, Şahin A. On Domination Polynomials of Caterpillar Graphs. TJMCS. 2018;9:34–38.
MLA
Şahin, Bünyamin, and Abdulgani Şahin. “On Domination Polynomials of Caterpillar Graphs”. Turkish Journal of Mathematics and Computer Science, vol. 9, Dec. 2018, pp. 34-38, https://izlik.org/JA52FF35YF.
Vancouver
1.Bünyamin Şahin, Abdulgani Şahin. On Domination Polynomials of Caterpillar Graphs. TJMCS [Internet]. 2018 Dec. 1;9:34-8. Available from: https://izlik.org/JA52FF35YF