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GD
1998
Springer
14 years 2 months ago
Geometric Thickness of Complete Graphs
We define the geometric thickness of a graph to be the smallest number of layers such that we can draw the graph in the plane with straightline edges and assign each edge to a lay...
Michael B. Dillencourt, David Eppstein, Daniel S. ...
MFCS
2007
Springer
14 years 4 months ago
Finding Paths Between Graph Colourings: PSPACE-Completeness and Superpolynomial Distances
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...
Paul S. Bonsma, Luis Cereceda
DM
2000
115views more  DM 2000»
13 years 9 months ago
Dualizability and graph algebras
We characterize the finite graph algebras which are dualizable. Indeed, a finite graph algebra is dualizable if and only if each connected component of the underlying graph is eith...
Brian A. Davey, Pawel M. Idziak, William A. Lampe,...
DM
2010
90views more  DM 2010»
13 years 10 months ago
The firefighter problem for cubic graphs
We show that the firefighter problem is NP-complete for cubic graphs. We also show that given a rooted tree of maximum degree three in which every leaf is the same distance from t...
Andrew King, Gary MacGillivray
CAGD
2007
75views more  CAGD 2007»
13 years 9 months ago
Computing roots of polynomials by quadratic clipping
We present an algorithm which is able to compute all roots of a given univariate polynomial within a given interval. In each step, we use degree reduction to generate a strip boun...
Michael Barton, Bert Jüttler