Exploring the properties and applications of complex fuzzy cut vertices and bridges N. Azhagendran, A. Mohamed Ismayil Journal of Interdisciplinary Mathematics, 2024 Within the context of complex fuzzy graphs, this study presents and investigates the ideas of complex fuzzy cut vertices and complex fuzzy bridges. By adding degrees of membership or truth in edges, complex fuzzy graphs expand upon standard graph theory and provide a more complex representation of connections. By finding vertices whose removal will gradually affect the network’s connectedness due to various degrees of membership, we redefine cut vertices as complex fuzzy cut vertices. In a similar vein, we expand the concept of bridges to include complex fuzzy bridges and identify edges whose removal would cause progressive structural changes in the graph. This paper explores the characteristics, methods, and mathematical underpinnings of these ideas.
Complementary nil g-eccentric domination in fuzzy graphs A. M. Ismayil, S. Muthupandiyan Advances in Mathematics Scientific Journal, 2020 A g-eccentric dominating set D ⊆ V of a fuzzy graph G = (ρ, φ) is said to be a complementary nil g-eccentric dominating set (CNGED-set) if V −D contains no g-eccentric dominating set of G = (ρ, φ). The least scalar cardinality taken over all CNGEDset of G is called the complementary nil g-eccentric domination number of G = (ρ, φ). In this article, bounds for complementary nil g-eccentric domination number for a few standard fuzzy graph are given and theorems related to CNGED sets are discussed. The relation between complementary nil g-eccentric domination number and other well known parameters are analyzed.
Eccentric domination polynomial of graphs A. M. Ismayil, R. Tejaskumar Advances in Mathematics Scientific Journal, 2020 In this paper, the concept of eccentric domination polynomial
RECENT SCHOLAR PUBLICATIONS
Degree, Neighbourhood, and Connectedness in Fuzzy Digraph AM Ismayil, SSA Ahmed Indian Journal of Science and Technology 17 (44), 4571-4581 , 2024 2024 Citations: 1
Injective Eccentric Domination in Graphs. RU Rehman A, AM Ismayil Baghdad Science Journal 21 (8) , 2024 2024 Citations: 1
Injective Eccentric Domination in Graphs AM Ismayil Baghdad Science Journal 21 (8), 2691-2691 , 2024 2024
Inverse Detour Eccentric Domination in Graphs AM Ismayil, R Priyadharshini Indian Journal of Science and Technology 17, 79-85 , 2024 2024
Isomorphism on complex fuzzy graph AM Ismayil, N Azhagendran Indian Journal of Science and Technology 17, 86-92 , 2024 2024 Citations: 5
Upper g-Eccentric Domination in Fuzzy Graphs S Muthupandiyan, AM Ismayil Indian Journal of Science and Technology 17, 45-51 , 2024 2024 Citations: 3
Bandwagon Eccentric Domination Polynomial and its Energy in Graphs AM Ismayil Asian Research Journal of Mathematics 20 (2), 12-26 , 2024 2024
The Minimum Superior Dominating Energy of Graphs R Tejaskumar, AM Ismayil Asian Research Journal of Mathematics 20 (1), 62-69 , 2024 2024
Minimum Injective Eccentric Dominating Energy of Graphs ARU Rehman, AM Ismayil Asian Research Journal of Mathematics 20 (1), 49-61 , 2024 2024
EXPLORING THE PROPERTIES AND APPLICATIONS OF COMPLEX FUZZY CUT VERTICES AND BRIDGES N AZHAGENDRAN, AM ISMAYIL JOURNAL OF INTERDISCIPLINARY MATHEMATICS 27 (5), 1091-1098 , 2024 2024
Bandwagon Distance and Bandwagon Eccentric Domination in Graphs AM Ismayil Asian Research Journal of Mathematics 19 (12), 109-119 , 2023 2023 Citations: 1
Minimum Transversal Eccentric Dominating Energy of Graphs ARU Rehman, AM Ismayil Asian Research Journal of Mathematics 19 (10), 187-199 , 2023 2023
The minimum superior eccentric dominating energy of graphs R Tejaskumar, AM Ismayil Asian Res. J. Math 19 (9), 233-241 , 2023 2023 Citations: 1
Superior domination polynomial of cycles R Tejaskumar, AM Ismayil Ratio Mathematica 47 , 2023 2023
Coupling Distance in Graphs. AM Ismayil Mapana Journal of Sciences 22 (2) , 2023 2023
On Complex Fuzzy Graph N Azhagendran, AM Ismayil NeuroQuantology 21 (2), 168-173 , 2023 2023
Minimum Eccentric Dominating Energy of Graphs R Tejaskumar, AM Ismayil, I Gutman International Journal of Mathematics Trends and Technology-IJMTT 69 , 2023 2023
Minimum Equitable Eccentric Dominating Energy of Graphs AM Ismayil International Journal of Mathematics Trends and Technology-IJMTT 69 , 2023 2023
Isolate g-eccentric domination in fuzzy graph S Muthupandiyan, AM Ismayil Ratio Mathematica 50 , 2023 2023 Citations: 3
Common Neighbourhood Eccentric Dominating and Its Energy of Graphs ARU Rehman, AM Ismayil, IN Cangul International Journal of Mathematics Trends and Technology-IJMTT 69 , 2023 2023
MOST CITED SCHOLAR PUBLICATIONS
On strong interval-valued intuitionistic fuzzy graph AM Ismayil, AM Ali International Journal of Fuzzy Mathematics and Systems 4 (2), 161-168 , 2014 2014 Citations: 42
Domination in picture fuzzy graphs A Mohamedlsmayil, N AshaBosely Am. Int. J. Res. Sci. Tecnol. Eng. Math, 205-210 , 2019 2019 Citations: 21
Domination in fuzzy graph: A new approach SI Mohideen, AM Ismayil Int. J. Comput. Sci. Math 2 (3), 101-107 , 2010 2010 Citations: 19
Complementary nil domination in fuzzy graphs M Ismayil, I Mohideen Annals of Fuzzy Mathematics and Informatics 8 (5), 785-792 , 2014 2014 Citations: 13
Complementary nil g-eccentric domination in fuzzy graphs AM Ismayil, S Muthupandiyan Advances in Mathematics: Scientific Journal 9 (4), 1719-1728 , 2020 2020 Citations: 9
2-equitable domination in fuzzy graphs C Gurubaran, A Prasanna, AM Ismayil Int. J. Appl. Eng. Res 13 (16), 12531-12535 , 2018 2018 Citations: 9
Accurate split (non split) domination in fuzzy graphs AM Ismayil, HS Begum Advances and Applications in Mathematical Sciences 20 (5), 839-851 , 2021 2021 Citations: 6
Equal eccentric domination in graphs AM Ismayil, ARU Rehman Malaya Journal of Matematik (MJM) 8 (1), 159-162 , 2020 2020 Citations: 6
Detour eccentric domination in graphs AM Ismayil, R Priyadharshini Bulletin of Pure and Applied Sciences Section. 38 (1), 342-347 , 2019 2019 Citations: 6
Complementary nil dominating set in intuitionistic M Ismayil, M Ali Annals of Fuzzy Mathematics and Informatics 10 (5), 765-774 , 2015 2015 Citations: 6
On Complete interval-valued intuitionistic fuzzy graph AM Ismayil, AM Ali Advances in fuzzy sets and systems 18 (1), 71-86 , 2014 2014 Citations: 6
Isomorphism on complex fuzzy graph AM Ismayil, N Azhagendran Indian Journal of Science and Technology 17, 86-92 , 2024 2024 Citations: 5
Connected g-Eccentric Domination in Fuzzy Graph. S Muthupandiyan, AM Ismayil Journal of Algebraic Statistics 13 (2) , 2022 2022 Citations: 5
Perfect g-eccentric domination in fuzzy graphs S Muthupandiyan, AM Ismayil Journal of Mathematical Control Science and Applications 7 (2), 413-424 , 2021 2021 Citations: 5
ACCURATE ECCENTRIC DOMINATION IN GRAPHS AMIRU Rehman A Our Heritage 68 (4), 209-216 , 2020 2020 Citations: 5
Eccentric domination polynomial of graphs AM Ismayil, R Tejaskumar Advances in Mathematics: Scientific Journal 9 (4), 1729-1739 , 2020 2020 Citations: 5
Edge Domination in Picture Fuzzy Graphs TR Mohamed Ismayil A, Riyaz Ur Rehman A International Journal of Computational Engineering Research (IJCER) 9 (8), 39-45 , 2019 2019 Citations: 5
An algorithm for finding complementary nil dominating set in a fuzzy graph A mohamed Ismayil, A mohamed Ali New Trends in Mathematical Sciences 5 (3), 1-6 , 2017 2017 Citations: 5
The vertex neighbourhood number of a fuzzy graph, Int SI Mohideen, AM Ismayil Jour. Mathematics Research 2 (3), 71-76 , 2010 2010 Citations: 4
Upper g-Eccentric Domination in Fuzzy Graphs S Muthupandiyan, AM Ismayil Indian Journal of Science and Technology 17, 45-51 , 2024 2024 Citations: 3
