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Double domination in maximal outerplanar graphs [PDF]

open access: goldOpen Mathematics, 2022
In graph GG, a vertex dominates itself and its neighbors. A subset S⊆V(G)S\subseteq V\left(G) is said to be a double-dominating set of GG if SS dominates every vertex of GG at least twice.
Zhuang Wei, Zheng Qiuju
doaj   +3 more sources

Maximal outerplanar graphs as chordal graphs, path-neighborhood graphs, and triangle graphs [PDF]

open access: greenAustralasian Journal of Combinatorics, 2011
Maximal outerplanar graphs are characterized using three different classes of graphs. A path-neighborhood graph is a connected graph in which every neighborhood induces a path. The triangle graph $T(G)$ has the triangles of the graph $G$ as its vertices,
Laskar, R.C. (R.C.)   +2 more
core   +8 more sources

On k-edge-magic labelings of maximal outerplanar graphs [PDF]

open access: goldAKCE International Journal of Graphs and Combinatorics, 2015
Let G be a graph with vertex set V and edge set E such that |V|=p and |E|=q. We denote this graph by (p,q)-graph. For integers k≥0, define a one-to-one map f from E to {k,k+1,…,k+q−1} and define the vertex sum for a vertex v as the sum of the labels of ...
Gee-Choon Lau   +3 more
doaj   +2 more sources

A Characterization of Maximal Outerplanar-Open Distance Pattern Uniform Graphs

open access: goldمجلة بغداد للعلوم, 2023
Let A ⊆ V(H) of any graph H, every node w of H be labeled using a set of numbers; , where d(w,v) denotes the distance between node w and the node v in H, known as its open A-distance pattern. A graph H is known as the open distance-pattern uniform (odpu)
BIBIN K JOSE
doaj   +3 more sources

Bipolar fuzzy outerplanar graphs approach in image shrinking [PDF]

open access: yesScientific Reports
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.
Deivanai Jaisankar   +3 more
doaj   +2 more sources

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

open access: yesScientific Reports
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.
Deivanai Jaisankar   +2 more
doaj   +2 more sources

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

open access: yesScientific Reports
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.
Deivanai Jaisankar   +3 more
doaj   +2 more sources

Outer connected domination in maximal outerplanar graphs and beyond [PDF]

open access: diamondDiscussiones Mathematicae Graph Theory, 2022
Wei Yang, Baoyindureng Wu
doaj   +2 more sources

Bounds on the Euler Sombor index of maximal outerplanar graphs [PDF]

open access: diamondElectronic Journal of Mathematics
Yifan Hu   +3 more
doaj   +2 more sources

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