169 search results - page 7 / 34 » On Graph Crossing Number and Edge Planarization |
GD
2007
Springer
15 years 3 months ago
2007
Springer
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 ...
GD
2007
Springer
15 years 3 months ago
2007
Springer
We prove that the crossing number of a graph decays in a “continuous fashion” in the following sense. For any ε > 0 there is a δ > 0 such that for n sufficiently large...
ENDM
2008
14 years 9 months ago
2008
We give an algorithm to morph between two planar drawings of a graph, preserving planarity, but allowing edges to bend. The morph uses a polynomial number of elementary steps, whe...
GD
2006
Springer
15 years 1 months ago
2006
Springer
The crossing number cr(G) of a graph G is the minimum number of crossings over all drawings of G in the plane. In 1993, Richter and Thomassen [RT93] conjectured that there is a co...
JGT
2006
14 years 9 months ago
2006
Jeager et al introduced a concept of group connectivity as an generalization of nowhere zero flows and its dual concept group coloring, and conjectured that every 5-edge connected...