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APPML
2007
57views more  APPML 2007»
13 years 7 months ago
On plane bipartite graphs without fixed edges
-An edge of a graph H with a perfect matching is a fixed edge if it either belongs to none or to all of the perfect matchings of H. It is shown that a connected plane bipartite gra...
Khaled Salem, Sandi Klavzar
COMBINATORICS
2006
114views more  COMBINATORICS 2006»
13 years 7 months ago
Total 4-Choosability of Series-Parallel Graphs
It is proved that, if G is a K4-minor-free graph with maximum degree 3, then G is totally 4-choosable; that is, if every element (vertex or edge) of G is assigned a list of 4 colo...
Douglas R. Woodall
DAM
2007
82views more  DAM 2007»
13 years 7 months ago
Every toroidal graph without adjacent triangles is (4, 1)*-choosable
In this paper, a structural theorem about toroidal graphs is given that strengthens a result of Borodin on plane graphs. As a consequence, it is proved that every toroidal graph w...
Baogang Xu, Haihui Zhang
GD
2004
Springer
14 years 28 days ago
Convex Drawings of 3-Connected Plane Graphs
We use Schnyder woods of 3-connected planar graphs to produce convex straight line drawings on a grid of size (n − 2 − ∆) × (n − 2 − ∆). The parameter ∆ ≥ 0 depen...
Nicolas Bonichon, Stefan Felsner, Mohamed Mosbah
COMPGEOM
1992
ACM
13 years 11 months ago
On-Line Steiner Trees in the Euclidean Plane
Suppose we are given a sequence of n points in the Euclidean plane, and our objective is to construct, on-line, a connected graph that connects all of them, trying to minimize the...
Noga Alon, Yossi Azar