Results 81 to 90 of about 211 (163)
Light graphs in families of outerplanar graphs
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Embedding Vertices at Points: Few Bends Suffice for Planar Graphs
The existing literature gives efficient algorithms for mapping trees or less restrictively outerplanar graphs on a given set of points in a plane, so that the edges are drawn planar and as straight lines.
Michael Kaufmann, Roland Wiese
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A Survey of Maximal k-Degenerate Graphs and k-Trees
This article surveys results on maximal $k$-degenerate graphs, $k$-trees, and related classes including simple $k$-trees, $k$-paths, maximal outerplanar graphs, and Apollonian networks.
Allan Bickle
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Crosscap of the non-cyclic graph of groups
The non-cyclic graph CG to a non locally cyclic group G is as follows: take G∖Cyc(G) as vertex set, where Cyc(G)={x∈G|〈x,y〉 is cyclic for all y∈G} is called the cyclicizer of G, and join two vertices if they do not generate a cyclic subgroup.
K. Selvakumar, M. Subajini
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On Large Induced Outerplanar Subgraphs in $2$-Outerplanar Graphs
Borradaile, Le and Sherman-Bennett [Graphs and Combinatorics, 2017] proved that every $n$-vertex $2$-outerplane graph has a set of at least $2n/3$ vertices that induces an outerplane graph. We identify a major flaw in their proof and recover their result with a different, and unfortunately much more complex, proof.
Marco D'Elia, Fabrizio Frati
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A planar graph is said to be zonal when is possible to label its vertices with the nonzero elements of ℤ3, in such a way that the sum of the labels of the vertices on the boundary of each zone is 0 in ℤ3.
Christian Barrientos, Sarah Minion
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Simultaneous Drawing of Planar Graphs with Right-Angle Crossings and Few Bends
Given two planar graphs that are defined on the same set of vertices, a RAC simultaneous drawing is a drawing of the two graphs where each graph is drawn planar, no two edges overlap, and edges of one graph can cross edges of the other graph only ...
Michael Bekos +3 more
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Special Issue Dedicated to the 16th International Symposium on Parameterized and Exact Computation. [PDF]
Golovach PA, Zehavi M.
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On Colorings of Squares of Outerplanar Graphs
24 pages, 17 ...
Geir Agnarsson, Magnús M. Halldórsson
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On Separating Path and Tree Systems in Graphs [PDF]
We explore the concept of separating systems of vertex sets of graphs. A separating system of a set $X$ is a collection of subsets of $X$ such that for any pair of distinct elements in $X$, there exists a set in the separating system that contains ...
Ahmad Biniaz +8 more
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