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RSA
2011
124views more  RSA 2011»
13 years 2 months ago
Sparse random graphs with clustering
In 2007 we introduced a general model of sparse random graphs with independence between the edges. The aim of this paper is to present an extension of this model in which the edge...
Béla Bollobás, Svante Janson, Oliver...
IPL
2008
107views more  IPL 2008»
13 years 7 months ago
Reachability on prefix-recognizable graphs
We prove that on prefix-recognizable graphs reachability is complete for deterministic exponential time matching the complexity of alternating reachability. Key words: Reachabilit...
Stefan Göller
TOMS
2010
106views more  TOMS 2010»
13 years 5 months ago
Computing Tutte Polynomials
The Tutte polynomial of a graph, also known as the partition function of the q-state Potts model, is a 2-variable polynomial graph invariant of considerable importance in both comb...
Gary Haggard, David J. Pearce, Gordon Royle
GD
2003
Springer
14 years 23 days ago
Three-Dimensional Grid Drawings with Sub-quadratic Volume
A three-dimensional grid drawing of a graph is a placement of the vertices at distinct points with integer coordinates, such that the straight line-segments representing the edges ...
Vida Dujmovic, David R. Wood
FCT
2007
Springer
13 years 9 months ago
On the Complexity of Kings
The diameter of an undirected graph is the minimal number d such that there is a path between any two vertices of the graph of length at most d. The radius of a graph is the minim...
Edith Hemaspaandra, Lane A. Hemaspaandra, Till Tan...