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» Manhattan-Geodesic Embedding of Planar Graphs
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JGAA
2006
108views more  JGAA 2006»
13 years 9 months ago
Planar embeddability of the vertices of a graph using a fixed point set is NP-hard
Let G = (V, E) be a graph with n vertices and let P be a set of n points in the plane. We show that deciding whether there is a planar straight-line embedding of G such that the v...
Sergio Cabello
DM
2007
98views more  DM 2007»
13 years 9 months ago
Fast recognition of classes of almost-median graphs
In this paper it is shown that a class of almost-median graphs that includes all planar almost-median graphs can be recognized in O(m log n) time, where n denotes the number of ve...
Wilfried Imrich, Alenka Lipovec, Iztok Peterin, Pe...
CORR
2012
Springer
195views Education» more  CORR 2012»
12 years 5 months ago
Multiple-Source Shortest Paths in Embedded Graphs
Let G be a directed graph with n vertices and non-negative weights in its directed edges, embedded on a surface of genus g, and let f be an arbitrary face of G. We describe an alg...
Sergio Cabello, Erin W. Chambers, Jeff Erickson
SIAMCOMP
2008
78views more  SIAMCOMP 2008»
13 years 9 months ago
I/O-Efficient Planar Separators
We present a new algorithm to compute a subset S of vertices of a planar graph G whose removal partitions G into O(N/h) subgraphs of size O(h) and with boundary size O( h) each. ...
Anil Maheshwari, Norbert Zeh
GD
2007
Springer
14 years 4 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...