논문KCI 등재
Domination Polynomials in Fuzzy graphs
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
The domination polynomial of a fuzzy graph is the generating function of its dominating sets. In this paper, domination polynomial in fuzzy graphs using strong arcs is introduced. The domination polynomial of different classes of fuzzy graphs is obtained. It is obtained some properties of the domination polynomial and its coefficients.
Abstract
The domination polynomial of a fuzzy graph is the generating function of its dominating sets. In this paper, domination polynomial in fuzzy graphs using strong arcs is introduced. The domination polynomial of different classes of fuzzy graphs is obtained. It is obtained some properties of the domination polynomial and its coefficients.
참고문헌 (17)
- A. Rosenfeld, "fuzzy sets and their application to cognitive and decision processes" (1975), Academic Press
- K. R. Bhutani, "Strong arcs in fuzzy graphs", Inform. Sci, 152, pp.319~ (2003)
- T. W. Haynes, "Fundamentals of domination in graphs" (1998), Marcel Dekker, Inc
- A. Somasundaram, "Domination in fuzzy graphs-I", Pattern Recognition Letters, 19, pp.787~791 (1998)
- A. Somasundaram, "Domination in fuzzy graphs-II", Journal of Fuzzy Mathematics, 13(2), pp.281~288 (2005)
- A. Nagoorgani, "Domination in fuzzy graph", Adv. in Fuzzy Sets and Systems, I(1), pp.17~26 (2006)
- M. G. Karunambigai, "Domination in bipolar fuzzy graphs", Fuzzy IEEE (2013)
- Muhammad Akram, "NOVEL DECISION MAKING METHOD BASED ON DOMINATION IN m-POLAR FUZZY GRAPHS", 대한수학회논문집, 32(4), pp.1077~1097 (2017), 대한수학회
- M. Akram, "Certain types of domination in m-polar fuzzy graphs", Journal of Multivalued Logic and Soft Computing, 29(5), pp.619~646 (2017)
- A. Nagoorgani, "Double domination on intuitionistic fuzzy graphs", Journal of Applied Mathematics and Computing, 52(1-2), pp.515~528 (2016)
- K. R. Bhutani, "On automorphisms of fuzzy graphs", Pattern Recognition Letters, 9, pp.159~162 (1989)
- O. T. Manjusha, "Notes on domination in fuzzy graphs", Journal of intelligent and Fuzzy Systems, 27, pp.3205~3212 (2014)
- J. N. Mordeson, "Fuzzy graphs and fuzzy hypergraphs" (2000), Physica - Verlag
- A. Nagoorgani, "Insensitive arc in domination of fuzzy graph", Int. J. Contemp. Math. Sciences, 6(26), pp.1303~1309 (2011)
- Sunil Mathew, "Types of arcs in a fuzzy graph", Inform. Sci, 179, pp.1760~1768 (2009)
- M. S. Sunitha, "Complement of a fuzzy graph", Indian journal of Pure and Applied Mathematics, 33(9), pp.1451~1464 (2002)
- J. N. Mordeson, "Operations on fuzzy graphs", Inform. Sci, 79, pp.159~170 (1994)
관련 논문AI추천
Inverse dominating set in fuzzy graphsN. D. Soner, Q. M. Mahyoub, S. Ghobadi장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2008 · 제11권 제1호Secure domination in fuzzy graphs and intuitionistic fuzzy graphsK. Palanivel, M.G. Karunambigai, S. Sivasankar기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제14권 제4호Inverse domination in bipolar fuzzy graphsMahioub M. Q. Shubatah, Saqr H. AL-Emrany기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제20권 제1호Strong inverse domination in fuzzy graphsO. T. Manjusha기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2025 · 제30권 제3호NOVEL DECISION MAKING METHOD BASED ON DOMINATION IN m-POLAR FUZZY GRAPHSMuhammad Akram, Neha Waseem대한수학회 · 대한수학회논문집2017 · 제32권 제4호Degrees in intuitionistic fuzzy graphsM.G. Karunambigai, R. Buvaneswari기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제3호
이 간행물의 다른 논문 (4건)
Fuzzy regular $Oz$-spacesG. Thangaraj, M. Ponnusamypp. 1-14A novel new correlation measure for cubic Pythagorean fuzzy sets related to structures of $KU$-ideals on $KU$-algebrasYoung Bae Jun, Jeong Gon Lee, Ola W. Abd El-Baseer, Amany M. Menshawy, Kul Hur, Samy M. Mostafapp. 15-31Type-2 fuzzy differential inclusion for solving type-2 fuzzy differential equationM. Rahaman, S. Tudu, K. H. Gazi, S. P. Mondal, B. Chatterjee, S. Alampp. 33-53Continuities and separation axioms in interval-valued topological spacesJeong Gon Lee, S. M. Mostafa, G. Senel, Kul Hurpp. 55-89