Aug 25, 2017 · We introduce the family of k-gap-planar graphs for k \geq 0, ie, graphs that have a drawing in which each crossing is assigned to one of the two involved edges.
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Oct 12, 2018 · A graph is k-gap-planar if it has a k-gap-planar drawing. Note that a graph is planar if and only if it is 0-gap-planar, and that k-gap- ...
We present results on the maximum density of $k$-gap-planar graphs, their relationship to other classes of beyond-planar graphs, characterization of $k$-gap- ...
Jan 21, 2018 · A graph is k-gap-planar if it has a k-gap-planar drawing. Note that the 0-gap-planar graphs coincide with the planar graphs, and that k-gap ...
Graph G is k-gap planar if it has a k-gap planar drawing. Questions: • What is the maxium density of k-gap planar graphs? • Which graphs are k-gap planar?
A plane graph is a planar graph with a planar embedding. 3. A planar drawing subdivides the plane into topologically connected regions, called faces. The ...
Jan 1, 2017 · The multigraph H is a triangulation, that is, a plane multi-graph in which every face is bounded by a walk with three vertices and three edges.
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Jan 1, 2018 · We introduce the family of k-gap-planar graphs for k ≥ 0, i.e., graphs that have a drawing in which each crossing is assigned to one of the ...
Nov 6, 2018 · Abstract:The relationship between the sparsest cut and the maximum concurrent multi-flow in graphs has been studied extensively.
A graph is 1-gap planar if it admits a drawing such that each crossing can be assigned to one of the two involved edges in such a way that each edge is assigned ...