Results 1 to 10 of about 2,073 (195)

Bipolar fuzzy outerplanar graphs approach in image shrinking. [PDF]

open access: yesSci Rep
Bipolar fuzzy outerplanar graphs are interesting and significant subclasses within the broader field of fuzzy graph theory. In this paper, bipolar fuzzy outerplanar graphs, and its properties are introduced.
Jaisankar D   +3 more
europepmc   +2 more sources

Edge-group choosability of outerplanar and near-outerplanar graphs [PDF]

open access: yesTransactions on Combinatorics, 2020
Let $\chi_{gl}(G)$ be the {\it{group choice number}} of $G$. A graph $G$ is called {\it{edge-$k$-group choosable}} if its line graph is $k$-group choosable. The {\it{group-choice index}} of $G$, $\chi'_{gl}(G)$, is the smallest $k$ such that $G$ is edge-$
Amir Khamseh
doaj   +2 more sources

Image contraction through fuzzy soft outerplanar graph structures. [PDF]

open access: yesSci Rep
Fuzzy sets and soft sets serve as powerful mathematical tools to handle uncertainty and vagueness in real-world problems. Building on these, this study introduces the concept of fuzzy soft outerplanar graphs (FSOGs), a fusion of fuzzy soft set theory ...
Jaisankar D, Ramalingam S, Zegeye GB.
europepmc   +2 more sources

A fuzzy graph theoretic approach to face shape recognition using cubic outerplanar structures. [PDF]

open access: yesSci Rep
The well-known topic of crisp graph planarity is contrasted with the more new and thoroughly studied field of planarity inside a fuzzy framework. In cubic fuzzy domain, cubic multisets with interval and fuzzy number to capture vagueness.
Jaisankar D, Ramalingam S, Zegeye GB.
europepmc   +2 more sources

Network design for bypass roads using interval valued fuzzy outerplanar graphs. [PDF]

open access: yesSci Rep
This paper presents a novel approach to bypass road network design using interval valued fuzzy outerplanar graphs (IVFOGs), addressing the increasing demands of vehicular growth and evolving lifestyles.
Jaisankar D   +3 more
europepmc   +2 more sources

Fuzzy Outerplanar Graphs and Its Applications

open access: yesInternational Journal of Computational Intelligence Systems
The concept of a crisp graph is essential in the study of outerplanar graphs because outerplanar graphs are a unique type of planar graphs containing special characteristics. One of the core concepts of crisp graphs, the notion of a subgraph, is utilized
Tadesse Walelign   +2 more
exaly   +2 more sources

On Another Class of Strongly Perfect Graphs

open access: yesMathematics, 2022
For a commutative ring R with unity, the associate ring graph, denoted by AG(R), is a simple graph with vertices as nonzero elements of R and two distinct vertices are adjacent if they are associates.
Neha Kansal   +3 more
doaj   +1 more source

On the planarity of line Mycielskian graph of a graph

open access: yesRatio Mathematica, 2020
The line Mycielskian graph of a graph G, denoted by Lμ(G) is defined as the graph obtained from L(G) by adding q+1 new vertices E' = ei' : 1 ≤  i ≤  q and e, then for 1 ≤  i ≤  q , joining ei' to the neighbours of ei  and  to e.
Keerthi G. Mirajkar   +1 more
doaj   +1 more source

Circular Separation Dimension of a Subclass of Planar Graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
A pair of non-adjacent edges is said to be separated in a circular ordering of vertices, if the endpoints of the two edges do not alternate in the ordering.
Arpitha P. Bharathi   +2 more
doaj   +1 more source

On the spread of outerplanar graphs

open access: yesSpecial Matrices, 2022
The spread of a graph is the difference between the largest and most negative eigenvalue of its adjacency matrix. We show that for sufficiently large nn, the nn-vertex outerplanar graph with maximum spread is a vertex joined to a linear forest with Ω(n ...
Gotshall Daniel   +2 more
doaj   +1 more source

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