5 papers
Planar Straight-line Realizations of 2-Trees with Prescribed Edge Lengths
Carlos Alegría, Manuel Borrazzo, Giordano Da Lozzo +3
We study a classic problem introduced thirty years ago by Eades and Wormald. Let be a weighted planar graph, where is a length function.…
Drawing Graphs as Spanners
Oswin Aichholzer, Manuel Borrazzo, Prosenjit Bose +4
We study the problem of embedding graphs in the plane as good geometric spanners. That is, for a graph , the goal is to construct a straight-line drawing of in the plane…
How to Morph a Tree on a Small Grid
Fidel Barrera-Cruz, Manuel Borrazzo, Giordano Da Lozzo +4
In this paper we study planar morphs between straight-line planar grid drawings of trees. A morph consists of a sequence of morphing steps, where in a morphing step vertices move a…
Graph Stories in Small Area
Manuel Borrazzo, Giordano Da Lozzo, Giuseppe Di Battista +2
We study the problem of drawing a dynamic graph, where each vertex appears in the graph at a certain time and remains in the graph for a fixed amount of time, called the window siz…
On the Planar Edge-Length Ratio of Planar Graphs
Manuel Borrazzo, Fabrizio Frati
The edge-length ratio of a straight-line drawing of a graph is the ratio between the lengths of the longest and of the shortest edge in the drawing. The planar edge-length ratio of…