Results 41 to 50 of about 1,769 (162)
Drawing Outer 1-planar Graphs with Few Slopes
A graph is outer 1-planar if it admits a drawing where each vertex is on the outer face and each edge is crossed by at most another edge. Outer 1-planar graphs are a superclass of the outerplanar graphs and a subclass of the planar partial 3-trees.
Emilio Di Giacomo +2 more
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The maximum common connected edge subgraph problem is to find a connected graph with the maximum number of edges that is isomorphic to a subgraph of each of the two input graphs, where it has applications in pattern recognition and chemistry.
Takeyuki Tamura, Tatsuya Akutsu
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Directed Acyclic Outerplanar Graphs Have Constant Stack Number [PDF]
The stack number of a directed acyclic graph $G$ is the minimum $k$ for which there is a topological ordering of $G$ and a $k$-coloring of the edges such that no two edges of the same color cross, i.e., have alternating endpoints along the topological ...
Paul Jungeblut +2 more
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Point deletions of outerplanar blocks [PDF]
Let G be a graph. If v is a vertex of G then the (− 1, v)-subgraphs of G are defined to be the point deletions of G, except for G ∼ {v}, with v labeled on each. This paper first classifies all outerplanar blocks which have a pair of v-isomorphic (− 1, v)-
Giles, William B
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Outerplanar Obstructions for Matroid Pathwidth
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Koutsonas, Athanassios +2 more
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Fuzzy Outerplanar Graphs and Its Applications
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
Deivanai Jaisankar +3 more
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On the Threshold for Triangulations Inside Convex Polygons
ABSTRACT Start with a large convex polygon and add all other edges inside independently with probability p$$ p $$. At what critical threshold pc$$ {p}_c $$ do triangulations of the polygon begin to appear? The first author and Gravner asked this question and observed that pc=Θ(1)$$ {p}_c=\Theta (1) $$, using the relationship with the Catalan numbers ...
Brett Kolesnik +2 more
wiley +1 more source
On the Edge-Length Ratio of Outerplanar Graphs [PDF]
We show that any outerplanar graph admits a planar straightline drawing such that the length ratio of the longest to the shortest edges is strictly less than 2. This result is tight in the sense that for any $ε> 0$ there are outerplanar graphs that cannot be drawn with an edge-length ratio smaller than $2 - ε$.
Lazard, Sylvain +2 more
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Bipolar fuzzy outerplanar graphs approach in image shrinking
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
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The Planar Index and Outerplanar Index of Some Graphs Associated to Commutative Rings
In this paper, we study the planar and outerplanar indices of some graphs associated to a commutative ring. We give a full characterization of these graphs with respect to their planar and outerplanar indices when R is a finite ring.
Barati Zahra, Afkhami Mojgan
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