Results 21 to 30 of about 8,394 (255)
Adjacent Vertex Distinguishing Coloring of Fuzzy Graphs
Mathematics, 2023 In this paper, we consider the adjacent vertex distinguishing proper edge coloring (for short, AVDPEC) and the adjacent vertex distinguishing total coloring (for short, AVDTC) of a fuzzy graph.
Zengtai Gong, Chen Zhang
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Fuzzy coloring and total fuzzy coloring of various types of intuitionistic fuzzy graphs [PDF]
Notes on IFS, 2023 In this paper, fuzzy coloring and total fuzzy coloring of intuitionistic fuzzy graphs are introduced. The fuzzy chromatic number, fuzzy chromatic index, total fuzzy chromatic number and total fuzzy chromatic index of both vertices and edges in ...
R. Buvaneswari, P. Revathy
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2-Quasitotal Fuzzy Graphs and Their Total Coloring
Advances in Fuzzy Systems, 2020 Coloring of fuzzy graphs has many real-life applications in combinatorial optimization problems like traffic light system, exam scheduling, and register allocation. The coloring of total fuzzy graphs and its applications are well studied. This manuscript
V. N. Srinivasa Rao Repalle +1 more
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Fuzzy Information and Engineering, 2018 A fuzzy graph is useful in representing structures of relationships between items where the existence of a concrete item (vertex) and relationship between two items (edge) are matters of degree.
Ashraf, S., Naz, S., Kerre, Etienne
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Intuitionistic Fuzzy Graphs with Categorical Properties
Fuzzy Information and Engineering, 2015 The main purpose of this paper is to show the rationality of some operations, defined or to be defined, on intuitionistic fuzzy graphs. Firstly, three kinds of new product operations (called direct product, lexicographic product, and strong product) are ...
Hossein Rashmanlou +3 more
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Certain Types of Interval-Valued Fuzzy Graphs
Journal of Applied Mathematics, 2013 We propose certain types of interval-valued fuzzy graphs including balanced interval-valued fuzzy graphs, neighbourly irregular interval-valued fuzzy graphs, neighbourly total irregular interval-valued fuzzy graphs, highly irregular interval-valued fuzzy
Muhammad Akram +2 more
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Set Domination in Fuzzy Graphs Using Strong Arcs
Pan-American Journal of Mathematics, 2022 Set domination in fuzzy graphs is very useful for solving traffic problems during communication in computer networks and travelling networks. In this article, the concept of set domination in fuzzy graphs using strong arcs is introduced.
O.T. Manjusha
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Roughness in Fuzzy Cayley Graphs
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 Rough set theory is a worth noticing approach for inexact and uncertain system modelling. When rough set theory accompanies with fuzzy set theory, which both are a complementary generalization of set theory, they will be attended by potency in ...
M.H. Shahzamanian, B. Davvaz
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On Edge Fuzzy Line Graphs and their Fuzzy Congraphs [PDF]
Control and Optimization in Applied Mathematics, 2021 In this paper, we introduce some new concepts of fuzzy graphs with the notion of degree of an edge in fuzzy line graphs and congraphs. Also, some properties and some lemmas of edge fuzzy line graphs and congraphs are studied.
Siyamak Firouzian +2 more
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Electronic Notes in Discrete Mathematics, 2003 Abstract An arc (u, v) in a fuzzy graph H is called strong if its weight is at least as great as the strength of connectedness of u and v when (u, v) is deleted. A strong path is a path whose arcs are all strong, and a geodesic is a shortest strong path between its end nodes. Let S be a set of nodes.
Kiran R. Bhutani, Azriel Rosenfeld
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