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Theory and Application of Interval-Valued Neutrosophic Line Graphs [PDF]

open access: goldJournal of Mathematics
Neutrosophic graphs are used to model inconsistent information and imprecise data about any real-life problem. It is regarded as a generalization of intuitionistic fuzzy graphs.
Keneni Abera Tola   +2 more
doaj   +3 more sources

Combination of interval-valued neutrosophic soft sets and graph theory [PDF]

open access: goldNew Trends in Mathematical Science, 2018
In this paper, we combine the concepts of interval-valued neutrosophic soft set and graph theory. We introduce notations of interval-valued neutrosophic soft graph and complete interval-valued neutrosophic soft graph. We also present several different types operations including cartesian product, union and intersection on interval-valued neutrosophic ...
Guven Kara, Yıldıray Çelik
  +4 more sources

Bounded, minimal, and short representations of unit interval and unit circular-arc graphs. Chapter I: theory

open access: diamondJournal of Graph Algorithms and Applications, 2017
This is the first of two chapters of a work in which we consider the unrestricted, minimal, and bounded representation problems for unit interval (UIG) and unit circular-arc (UCA) graphs. In the unrestricted version, a proper circular-arc (PCA) model ${\mathcal{M}}$ is given and the goal is to obtain an equivalent UCA model ${\mathcal{U}}$. In
Francisco J. Soulignac
openaire   +5 more sources

On Certain Operations on Strong Interval Valued Neutrosophic Graph with Application in the Cardiac Functioning of the Human Heart [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
The neutrosophic theory is known for its prominent application in real life, possessing unclear, indeterminate information. Interval valued neutrosophic theory is even more flexible to handle indeterminacy effectively since the membership functions are ...
R. Keerthana, S. Venkatesh, R. Srikanth
doaj   +1 more source

Axiomatic characterizations of Ptolemaic and chordal graphs [PDF]

open access: yesOpuscula Mathematica, 2023
The interval function and the induced path function are two well studied class of set functions of a connected graph having interesting properties and applications to convexity, metric graph theory. Both these functions can be framed as special instances
Manoj Changat   +2 more
doaj   +1 more source

Interval Valued Pentapartitioned Neutrosophic Graphs with an Application to MCDM

open access: yesOperational Research in Engineering Sciences: Theory and Applications, 2022
The concept of interval valued pentapartitioned neutrosophic set is the extension of interval-valued neutrosophic set, quadripartitioned neutrosophic set, interval valued quadripartitioned neutrosophic set and pentapartitioned neutrosophic set.
Said Broumi   +7 more
doaj   +1 more source

Certain operations on interval-valued picture fuzzy graphs with application

open access: yesInternational Journal of Mathematics for Industry, 2023
Graph theory has various applications in computer science, such as image segmentation, clustering, data mining, image capturing, and networking. Fuzzy graph (FG) theory has been widely adopted to handle uncertainty in graph-related problems.
Biswajit Das Adhikari   +3 more
doaj   +1 more source

Weighted Graphs and Fuzzy Graphs [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2023
It has been shown in literature that in the two-dimensional case, the lattices of truth values considered are pairwise isomorphic, and so are the corresponding families of fuzzy sets.
John Mordeson   +2 more
doaj   +1 more source

New Concepts of Vertex Covering in Cubic Graphs with Its Applications

open access: yesMathematics, 2022
Graphs serve as one of the main tools for the mathematical modeling of various human problems. Fuzzy graphs have the ability to solve uncertain and ambiguous problems.
Huiqin Jiang   +4 more
doaj   +1 more source

Betweenness in graphs: A short survey on shortest and induced path betweenness

open access: yesAKCE International Journal of Graphs and Combinatorics, 2019
Betweenness is a universal notion present in several disciplines of mathematics. The notion of betweenness has a profound history and many pioneers like Euclid, Pasch, Hilbert have studied betweenness axiomatically.
Manoj Changat   +2 more
doaj   +2 more sources

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