106 search results - page 7 / 22 » Manhattan-Geodesic Embedding of Planar Graphs |
96
Voted
COMPGEOM
2007
ACM
15 years 1 months ago
2007
ACM
We show how to embed a 3-connected planar graph with n vertices as a 3-polytope with small integer coordinates. The coordinates are bounded by O(27.55n ). The crucial part is the ...
67
Voted
EJC
2007
14 years 9 months ago
2007
It was conjectured by Thomassen ([B. Alspach, C. Godsil, Cycle in graphs, Ann. Discrete Math. 27 (1985)], p. 466) that every longest circuit of a 3-connected graph must have a cho...
132
Voted
CORR
2008
Springer
14 years 9 months ago
2008
Springer
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an i...
88
Voted
DM
2002
14 years 9 months ago
2002
Let G be a planar embedded 2-connected graph. Then the vertices of its resonance graph R(G) are the 1-factors of G, two 1-factors being adjacent whenever their symmetric differenc...
SODA
2012
ACM
12 years 12 months ago
2012
ACM
We give a deterministic algorithm to find the minimum cut in a surface-embedded graph in near-linear time. Given an undirected graph embedded on an orientable surface of genus g,...