ISAAC
2005
Springer
13 years 10 months ago
2005
Springer
We present an expected polynomial time algorithm to generate a 2-connected unlabeled planar graph uniformly at random. To do this we first derive recurrence formulas to count the ...
FSTTCS
2005
Springer
13 years 10 months ago
2005
Springer
We investigate the s-t-connectivity problem for directed planar graphs, which is hard for L and is contained in NL but is not known to be complete. We show that this problem is log...
ESA
2005
Springer
13 years 10 months ago
2005
Springer
Abstract. We present new approximation schemes for various classical problems of finding the minimum-weight spanning subgraph in edge-weighted undirected planar graphs that are re...
FOCS
2005
IEEE
13 years 10 months ago
2005
IEEE
In joint work with ´Eva Tardos in 1995, we asked whether it was possible to obtain a polynomial-time, polylogarithmic approximation algorithm for the disjoint paths problem in th...
ISCC
2006
IEEE
13 years 11 months ago
2006
IEEE
Rectangular dualization is an effective, hierarchically oriented visualization method for network topologies and can be used in many other problems having in common with networks ...
STACS
2007
Springer
13 years 11 months ago
2007
Springer
We study the following problem. Given a weighted planar graph G, assign labels L(v) to vertices so that given L(u), L(v) and L(x) for x ∈ X for any X ⊂ V (G), compute the dist...
MFCS
2007
Springer
13 years 11 months ago
2007
Springer
Suppose we are given a graph G together with two proper vertex k-colourings of G, α and β. How easily can we decide whether it is possible to transform α into β by recolouring...
ICALP
2007
Springer
13 years 11 months ago
2007
Springer
Abstract. We develop a generic framework for deriving linear-size problem kernels for NP-hard problems on planar graphs. We demonstrate the usefulness of our framework in several c...
GD
2007
Springer
13 years 11 months ago
2007
Springer
In John Tantalo’s on-line game Planarity the player is given a non-plane straight-line drawing of a planar graph. The aim is to make the drawing plane as quickly as possible by m...
GD
2007
Springer
13 years 11 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 ...