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» On Embedding a Graph on Two Sets of Points
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66
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IJFCS
2006
85views more  IJFCS 2006»
15 years 16 days ago
On Embedding a Graph on Two Sets of Points
Emilio Di Giacomo, Giuseppe Liotta, Francesco Trot...
86
Voted
ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
15 years 5 months ago
On the Geometric Dilation of Finite Point Sets
Let G be an embedded planar graph whose edges may be curves. For two arbitrary points of G, we can compare the length of the shortest path in G connecting them against their Euclid...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
125
Voted
COMGEO
2006
ACM
15 years 18 days ago
Compatible triangulations and point partitions by series-triangular graphs
We introduce series-triangular graph embeddings and show how to partition point sets with them. This result is then used to prove an upper bound on the number of Steiner points nee...
Jeff Danciger, Satyan L. Devadoss, Don Sheehy
97
Voted
GD
2007
Springer
15 years 6 months ago
Universal Sets of n Points for 1-Bend Drawings of Planar Graphs with n Vertices
This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this ...
Hazel Everett, Sylvain Lazard, Giuseppe Liotta, St...
107
Voted
DCG
2010
135views more  DCG 2010»
15 years 19 days ago
Universal Sets of n Points for One-bend Drawings of Planar Graphs with n Vertices
This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this...
Hazel Everett, Sylvain Lazard, Giuseppe Liotta, St...