Results 81 to 90 of about 211 (163)

Light graphs in families of outerplanar graphs

open access: yesDiscrete Mathematics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Embedding Vertices at Points: Few Bends Suffice for Planar Graphs

open access: yesJournal of Graph Algorithms and Applications, 2002
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
doaj   +1 more source

A Survey of Maximal k-Degenerate Graphs and k-Trees

open access: yesTheory and Applications of Graphs
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
doaj   +1 more source

Crosscap of the non-cyclic graph of groups

open access: yesAKCE International Journal of Graphs and Combinatorics, 2016
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
doaj   +1 more source

On Large Induced Outerplanar Subgraphs in $2$-Outerplanar Graphs

open access: yesCoRR
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
openaire   +2 more sources

Zonal Labeling of Graphs

open access: yesIndonesian Journal of Combinatorics
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
doaj   +1 more source

Simultaneous Drawing of Planar Graphs with Right-Angle Crossings and Few Bends

open access: yesJournal of Graph Algorithms and Applications, 2016
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
doaj   +1 more source

On Colorings of Squares of Outerplanar Graphs

open access: yes, 2007
24 pages, 17 ...
Geir Agnarsson, Magnús M. Halldórsson
openaire   +3 more sources

On Separating Path and Tree Systems in Graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science
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
doaj   +1 more source

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