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Outerplanar graph drawings with few slopes [PDF]
Computational Geometry: Theory and Applications, 2014 We consider straight-line outerplanar drawings of outerplanar graphs in which a small number of distinct edge slopes are used, that is, the segments representing edges are parallel to a small number of directions.
Kolja Knauer +2 more
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The Singularity of Oriented Outerplanar Graphs with a Given Number of Inner Edges
Journal of Mathematics, 2022 A digraph is called oriented if there is at most one arc between two distinct vertices. An oriented graph is called nonsingular (singular) if its adjacency matrix AD is nonsingular (singular).
Borui He, Xianya Geng, Long Wang
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Edge-group choosability of outerplanar and near-outerplanar graphs [PDF]
Transactions 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
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Image contraction through fuzzy soft outerplanar graph structures [PDF]
Scientific ReportsFuzzy 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 ...
Deivanai Jaisankar +2 more
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Bipolar fuzzy outerplanar graphs approach in image shrinking [PDF]
Scientific ReportsBipolar 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
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A fuzzy graph theoretic approach to face shape recognition using cubic outerplanar structures [PDF]
Scientific ReportsThe 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
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Network design for bypass roads using interval valued fuzzy outerplanar graphs [PDF]
Scientific ReportsThis 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
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Planar, Outerplanar, and Toroidal Graphs of the Generalized Zero-Divisor Graph of Commutative Rings
Journal of Mathematics, 2021 Let A be a commutative ring with unity and let set of all zero divisors of A be denoted by ZA. An ideal ℐ of the ring A is said to be essential if it has a nonzero intersection with every nonzero ideal of A. It is denoted by ℐ≤eA.
Abdulaziz M. Alanazi +2 more
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Pathlength of Outerplanar Graphs
Theoretical Computer Science, 2022 A path-decomposition of a graph G = (V, E) is a sequence of subsets of V , called bags, that satisfy some connectivity properties. The length of a path-decomposition of a graph G is the greatest distance between two vertices that belong to a same bag and the pathlength, denoted by pl(G), of G is the smallest length of its path-decompositions.
Dissaux, Thomas, Nisse, Nicolas
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Circular Separation Dimension of a Subclass of Planar Graphs [PDF]
Discrete 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
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