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MP
2006
81views more  MP 2006»
14 years 11 months ago
Almost all webs are not rank-perfect
Graphs with circular symmetry, called webs, are relevant w.r.t. describing the stable set polytopes of two larger graph classes, quasi-line graphs [8,12] and claw-free graphs [7,8]...
Arnaud Pêcher, Annegret Wagler
DM
1999
145views more  DM 1999»
14 years 11 months ago
Modular decomposition and transitive orientation
A module of an undirected graph is a set X of nodes such for each node x not in X , either every member of X is adjacent to x, or no member of X is adjacent to x. There is a canon...
Ross M. McConnell, Jeremy Spinrad
DAM
2000
97views more  DAM 2000»
14 years 11 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»
15 years 6 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
15 years 1 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