Research Article

On Domination Polynomials of Caterpillar Graphs

Volume: 9 December 28, 2018
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

  1. Alikhani, S., Peng, Y.H., Dominating sets and domination polynomial of cycles, Global Journal of Pure and Applied Mathematics, 4(2)(2008), 151–162.
  2. Alikhani, S., Peng, Y.H., Domination polynomials of cubic graphs of order 10, Turk. J. Math., 35(3)(2011), 355–366.
  3. Alikhani, S., Peng, Y.H., Introduction to domination polynomial of a graph, Ars Combin., 114(2014), 257–266.
  4. Gutman, I., Some analytic properties of the independence and matching polynomials, Match., 28(1992), 139–150.
  5. Haynes, T.W., Hedetniemi, S.T., Slater, P.J., Fundamentals of Domination in Graphs, Marcel Dekker, New York, 1998.
  6. Klavzar, S., Mollard, M., Wiener index and Hosoya polynomial of Fibonacci and Lucas qubes, MATCH Commun. Math. Comput. Chem., 68(2012), 311–324.
  7. Majstorovic, S., Doslic, T., Klobucar, A., k-domination on hexagonal cactus chains, Kragujevac Journal of Mathematics, 2(2012), 335–347.
  8. 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