DOMINATING SETS AND DOMINATION POLYNOMIAL OF CORONA OF GRAPHS

Authors

  • Sahib Shayyal Kahat Department of Professional Supervision, the General Director of Education Al-Najaf Al-Ashraf, Najaf, IRAQ.

Keywords:

Dominating set, Family of dominating sets, Domination Polynomial, Corona of Graph

References

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M.N. Al-Harere, A. A. Omran, and A. T. Breesam, Captive domination in graphs, Discrete Mathematics, Algorithms and Applications, 12 (6) (2020) 2050076.

M. N. Al-Harere and P. A. KhudaBakhash, Tadpole domination in graphs, Baghdad Sci. J. 15 (2018) 466–471.

M. N. Al-harere, P. A. Khuda ,Tadpole Domination in duplicated graphs,Discrete Mathematics, Algorithms and Applications, 13(2)(2021) 2150003.

M. N. Al-Harere, A. A. Omran, On binary operation graphs, Bol. Soc. Paranaense Mat. 38(7) (2020), 59-67

M. A. Abdlhusein and M. N. Al-Harere, Total pitchfork domination and its inverse in graphs, Discrete Mathematics, Algorthem and Applications, (2021)2150038.

M. A. Abdlhusein and M. N. Al-Harere, New parameter of inverse domination in graphs, Indian Journal of Pure and Applied Mathematicse, (accepted to appear)(2021).

M. A. Abdlhusein and M. N. Al-Harere, Doubly connected pitchfork domination and its inverse in graphs, TWMS J. App. Eng. Math., (accepted to appear) (2021).

M. A. Abdlhusein, Doubly connected bi-domination in graphs, Discrete Mathematics, Algorthem and Applications, 13(2(2021)) 2150009.

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S. Sh. Kahat, A. M. Khalaf, R. Hasni, Dominating Sets and Domination Polynomials of Stars, Australian Journal of Basic and Applied Sciences, 8(6) June 2014, Pages: 383-386.

S. Sh. Kahat, A. M. Khalaf, Dominating Sets and Domination polynomial of Complete Graphs with Missing Edges, Journal of Kufa for Mathematics and Computer Vol.2, No.1, may 2014, 64-68.

S. Sh. Kahat, A. M. Khalaf, R. Hasni, Dominating Sets and Domination Polynomial of Wheels, Asian Journal of Applied Sciences, Volume 02 - Issue 03, June (2014), 287-290.

S. Sh. Kahat, A. M. Khalaf, Dominating Sets and Domination polynomial of kr-gluing of Graphs, to appear in Journal of DIRASAT TARBAWIYA.

S. Sh. Kahat, A. M. Khalaf, Dominating Sets and Domination polynomial of kr-gluing of Graphs II, DIRASAT TARBAWIYA, Volume 12, Issue 48 supplement, 2019, Pages 358-367.

S. Sh. Kahat, M. N. Al-Harere, Dominating sets and polynomial of equality co-neighborhood domination of graphs, accepted for publication in 1st International Conference on Advanced Research in Pure and Applied Science, by AIP Conference Proceedings (ISSN: 0094-243X).ICARPAS-2021.

S. Sh. Kahat, M. N. Al-Harere, Inverse Equality Co-Neighborhood Domination in Graphs, reprint..

S. Sh. Kahat, M. N. Al-Harere, Total Equality Co-Neighborhood Domination in Graphs, accepted for publication in Sixth National Scientific/ Third International Conference, published by AIP Conference Proceedings (ISSN: 0094-243X). ICCEPS-2021.

S. Sh. Kahat, Strong Equality Co-Neighborhood Domination in Graphs, Eurasian Journal of Physics, Chemistry and Mathematics 4, 39-45

S. Sh. Kahat, A. A. Omran, M. N. Al-Harere, Fuzzy equality co-neighborhood domination of graphs, International Journal of Nonlinear Analysis and Applications, 2021, 12(2), pp. 537–545

S. Sh. Kahat, A. M. Khalaf, Chromatic Polynomials and Chromaticity of Zero-Divisor Graphs, (ICAMES'2013) April 29-30, (2013) Singapore 350-352.

S. Sh. Kahat, A. M. Khalaf, Chromatic Polynomials and Chromaticity of Zero-Divisor Graphs II, to appear, ICMA-2013 Chair Committees, (2013).

A. A. Omran, M. N. Al-Harere, and Sahib Sh. Kahat, Equality co-neighborhood domination in graphs, Discrete Mathematics, Algorithms and Applications this link is disabled, 2022, 14(1), 2150098

J. A. Gallian, A Dynamic Survey of Graph Labeling, the Electronic j. of combinatorics, (2016).

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Published

2022-04-13

How to Cite

Sahib Shayyal Kahat. (2022). DOMINATING SETS AND DOMINATION POLYNOMIAL OF CORONA OF GRAPHS. European Scholar Journal, 3(4), 4-8. Retrieved from https://scholarzest.com/index.php/esj/article/view/2052

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