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Strong Domination in Fuzzy Graphs [PDF]

open access: goldFuzzy Information and Engineering, 2015
In this paper, the concept of strong domination number is introduced by using membership values of strong arcs in fuzzy graphs. The strong domination number γs of complete fuzzy graph and complete bipartite fuzzy graph is determined and bounds is ...
O.T. Manjusha, M.S. Sunitha
doaj   +4 more sources

New results of partially total fuzzy graph [PDF]

open access: yesBMC Research Notes, 2023
Objective The study of total fuzzy graphs in all cases is crucial for the development of both theories and applications of the graph theory. Without theory the application will not be developed.
Fekadu Tesgera Agama   +2 more
doaj   +2 more sources

Interval-valued fuzzy graphs [PDF]

open access: bronzeComputers and Mathematics with Applications 61 (2011), 289-299, 2012
We define the Cartesian product, composition, union and join on interval-valued fuzzy graphs and investigate some of their properties. We also introduce the notion of interval-valued fuzzy complete graphs and present some properties of self complementary and self weak complementary interval-valued fuzzy complete graphs.
Muhammad Akram, Wiesław A. Dudek
arxiv   +2 more sources

Novel Properties of Fuzzy Labeling Graphs [PDF]

open access: goldJournal of Mathematics, 2014
The concepts of fuzzy labeling and fuzzy magic labeling graph are introduced. Fuzzy magic labeling for some graphs like path, cycle, and star graph is defined. It is proved that every fuzzy magic graph is a fuzzy labeling graph, but the converse is not
A. Nagoor Gani   +2 more
doaj   +2 more sources

Solution of road network problem with the help of m-polar fuzzy graph using isometric and antipodal concept [PDF]

open access: yesScientific Reports, 2023
The isometry in crisp graph theory is a well-known fact. But, isometry under a fuzzy environment was developed recently and studied many facts. In a m-polar fuzzy graph, we have to think m components for each node and edge.
Uttam Mondal   +3 more
doaj   +2 more sources

Irregular Interval Valued Fuzzy Graphs [PDF]

open access: greenAnnals of Pure and Applied Mathematics, 3(1) (2013) 56-66, 2014
In this paper, we define irregular interval-valued fuzzy graphs and their various classifications. Size of regular interval-valued fuzzy graphs is derived. The relation between highly and neighbourly irregular interval-valued fuzzy graphs are established. Some basic theorems related to the stated graphs have also been presented.
Madhumangal Pal, Hossein Rashmanlou
arxiv   +3 more sources

On the Recognition of Fuzzy Circular Interval Graphs [PDF]

open access: greenarXiv, 2011
Fuzzy circular interval graphs are a generalization of proper circular arc graphs and have been recently introduced by Chudnovsky and Seymour as a fundamental subclass of claw-free graphs. In this paper, we provide a polynomial-time algorithm for recognizing such graphs, and more importantly for building a suitable representation.
Gianpaolo Oriolo   +2 more
arxiv   +3 more sources

Fuzzy and crisp computational analysis of certain graphs structures via machine learning techniques [PDF]

open access: yesScientific Reports
In the evolving landscape of computer science and artificial intelligence, the integration of fuzzy graphs theory and topological indices offers a robust framework for decision-making processes.
Zeeshan Saleem Mufti   +4 more
doaj   +2 more sources

Matlab algorithms for traffic light assignment using fuzzy graph, fuzzy chromatic number, and fuzzy inference system [PDF]

open access: yesMethodsX, 2020
We propose algorithms in Matlab that combine fuzzy graph, fuzzy chromatic number (FCN), and fuzzy inference system (FIS) to create traffic light assignment based on traffic flow, conflict, and queue length in an intersection.
Isnaini Rosyida   +3 more
doaj   +2 more sources

Pythagorean fuzzy graphs: Some results [PDF]

open access: greenarXiv, 2018
Graph theory has successfully used to solve a wide range of problems encountered in diverse fields such as medical sciences, neural networks, control theory, transportation, clustering analysis, expert systems, image capturing, and network security. In past few years, a number of generalizations of graph theoretical concepts have developed to model the
Rajkumar Verma   +2 more
arxiv   +3 more sources

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