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» Crossing numbers of imbalanced graphs
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IAJIT
2011
12 years 11 months ago
On the genus of pancake network
: Both the pancake graph and star graph are Cayley graphs and are especially attractive for parallel processing. They both have sublogarithmic diameter, and are fairly sparse compa...
Quan T. Nguyen, Saïd Bettayeb
APPROX
2004
Springer
136views Algorithms» more  APPROX 2004»
14 years 1 months ago
On the Crossing Spanning Tree Problem
Given an undirected n-node graph and a set C of m cuts, the minimum crossing tree is a spanning tree which minimizes the maximum crossing of any cut in C, where the crossing of a c...
Vittorio Bilò, Vineet Goyal, R. Ravi, Mohit...
JCT
2007
111views more  JCT 2007»
13 years 7 months ago
Removing even crossings
An edge in a drawing of a graph is called even if it intersects every other edge of the graph an even number of times. Pach and T´oth proved that a graph can always be redrawn so...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
APVIS
2004
13 years 9 months ago
Optimal Leaf Ordering for Two and a Half Dimensional Phylogenetic Tree Visualisation
Two and a half dimensional graph visualisation is the stacking of a set of related graphs into the third dimension to support visual comparison. A new aesthetic criterion is intro...
Tim Dwyer, Falk Schreiber
WG
2010
Springer
13 years 6 months ago
Graphs that Admit Right Angle Crossing Drawings
We consider right angle crossing (RAC) drawings of graphs in which the edges are represented by polygonal arcs and any two edges can cross only at a right angle. We show that if a ...
Karin Arikushi, Radoslav Fulek, Balázs Kesz...