Sciweavers

270 search results - page 19 / 54
» Diameter bounds for planar graphs
Sort
View
COCOON
2007
Springer
15 years 3 months ago
On the Number of Cycles in Planar Graphs
We investigate the maximum number of simple cycles and the maximum number of Hamiltonian cycles in a planar graph G with n vertices. Using the transfer matrix method we construct a...
Kevin Buchin, Christian Knauer, Klaus Kriegel, And...
COMGEO
2007
ACM
14 years 9 months ago
Drawings of planar graphs with few slopes and segments
We study straight-line drawings of planar graphs with few segments and few slopes. Optimal results are obtained for all trees. Tight bounds are obtained for outerplanar graphs, 2-...
Vida Dujmovic, David Eppstein, Matthew Suderman, D...
CORR
2008
Springer
131views Education» more  CORR 2008»
14 years 9 months ago
Deterministically Isolating a Perfect Matching in Bipartite Planar Graphs
We present a deterministic way of assigning small (log bit) weights to the edges of a bipartite planar graph so that the minimum weight perfect matching becomes unique. The isolati...
Samir Datta, Raghav Kulkarni, Sambuddha Roy
FOCS
2008
IEEE
15 years 4 months ago
Nearly Tight Low Stretch Spanning Trees
We prove that any graph G with n points has a distribution T over spanning trees such that for any edge (u, v) the expected stretch ET ∼T [dT (u, v)/dG(u, v)] is bounded by ˜O(...
Ittai Abraham, Yair Bartal, Ofer Neiman
74
Voted
JGT
2008
107views more  JGT 2008»
14 years 9 months ago
On planar intersection graphs with forbidden subgraphs
Let C be a family of n compact connected sets in the plane, whose intersection graph G(C) has no complete bipartite subgraph with k vertices in each of its classes. Then G(C) has ...
János Pach, Micha Sharir