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ESA
2000
Springer
122views Algorithms» more  ESA 2000»
13 years 11 months ago
Minimum Depth Graph Embedding
Abstract. The depth of a planar embedding is a measure of the topological nesting of the biconnected components of the graph. Minimizing the depth of planar embeddings has importan...
Maurizio Pizzonia, Roberto Tamassia
ICALP
2001
Springer
14 years 13 days ago
Improved Lower Bounds on the Randomized Complexity of Graph Properties
We prove a lower bound of (n4/3 log1/3 n) on the randomized decision tree complexity of any nontrivial monotone n-vertex graph property, and of any nontrivial monotone bipartite g...
Amit Chakrabarti, Subhash Khot
GD
1998
Springer
14 years 5 days 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 2 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 7 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,...