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» The Linear Complexity of a Graph
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DAM
2000
97views more  DAM 2000»
13 years 10 months ago
Algorithms and obstructions for linear-width and related search parameters
The linear-width of a graph G is de ned to be the smallest integer k such that the edges of G can be arranged in a linear ordering e1;:::;er in such a way that for every i = 1;:::...
Dimitrios M. Thilikos
AAIM
2007
Springer
151views Algorithms» more  AAIM 2007»
14 years 4 months ago
Acyclic Edge Colouring of Outerplanar Graphs
An acyclic edge colouring of a graph is a proper edge colouring having no 2-coloured cycle, that is, a colouring in which the union of any two colour classes forms a linear forest...
Rahul Muthu, N. Narayanan, C. R. Subramanian
NIPS
2008
13 years 11 months ago
Online Prediction on Large Diameter Graphs
We continue our study of online prediction of the labelling of a graph. We show a fundamental limitation of Laplacian-based algorithms: if the graph has a large diameter then the ...
Mark Herbster, Guy Lever, Massimiliano Pontil
ICML
2010
IEEE
13 years 11 months ago
Random Spanning Trees and the Prediction of Weighted Graphs
We show that the mistake bound for predicting the nodes of an arbitrary weighted graph is characterized (up to logarithmic factors) by the cutsize of a random spanning tree of the...
Nicolò Cesa-Bianchi, Claudio Gentile, Fabio...
IJFCS
2007
93views more  IJFCS 2007»
13 years 10 months ago
On Computing Longest Paths in Small Graph Classes
The longest path problem is to find a longest path in a given graph. While the graph classes in which the Hamiltonian path problem can be solved efficiently are widely investigat...
Ryuhei Uehara, Yushi Uno