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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

Graphical Structures of Cubic Intuitionistic Fuzzy Information

open access: yesJournal of Mathematics, 2021
The theory developed in this article is based on graphs of cubic intuitionistic fuzzy sets (CIFS) called cubic intuitionistic fuzzy graphs (CIFGs). This graph generalizes the structures of fuzzy graph (FG), intuitionistic fuzzy graph (IFG), and interval ...
Sami Ullah Khan   +3 more
doaj   +1 more source

On interval number in cycle convexity [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2018
Recently, Araujo et al. [Manuscript in preparation, 2017] introduced the notion of Cycle Convexity of graphs. In their seminal work, they studied the graph convexity parameter called hull number for this new graph convexity they proposed, and they ...
Julio Araujo   +3 more
doaj   +1 more source

On the asymptotic behavior of the average geodesic distance L and the compactness CB of simple connected undirected graphs whose order approaches infinity

open access: yesPLoS ONE, 2021
The average geodesic distance L Newman (2003) and the compactness CB Botafogo (1992) are important graph indices in applications of complex network theory to real-world problems.
Tatiana Lokot   +2 more
doaj   +2 more sources

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