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» On the Maximum Number of Cliques in a Graph
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CVPR
2012
IEEE
11 years 10 months ago
Maximum weight cliques with mutex constraints for video object segmentation
In this paper, we address the problem of video object segmentation, which is to automatically identify the primary object and segment the object out in every frame. We propose a n...
Tianyang Ma, Longin Jan Latecki
COMBINATORICS
2007
118views more  COMBINATORICS 2007»
13 years 7 months ago
On the Quantum Chromatic Number of a Graph
We investigate the notion of quantum chromatic number of a graph, which is the minimal number of colours necessary in a protocol in which two separated provers can convince a refe...
Peter J. Cameron, Ashley Montanaro, Michael W. New...
CP
2009
Springer
14 years 8 months ago
Exploiting Problem Structure for Solution Counting
This paper deals with the challenging problem of counting the number of solutions of a CSP, denoted #CSP. Recent progress have been made using search methods, such as BTD [15], whi...
Aurélie Favier, Philippe Jégou, Simo...
FAW
2009
Springer
134views Algorithms» more  FAW 2009»
14 years 2 months ago
Pathwidth is NP-Hard for Weighted Trees
The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. We prove in this paper that the PATHWIDTH problem is NP-hard for parti...
Rodica Mihai, Ioan Todinca
UAI
2008
13 years 9 months ago
Clique Matrices for Statistical Graph Decomposition and Parameterising Restricted Positive Definite Matrices
We introduce Clique Matrices as an alternative representation of undirected graphs, being a generalisation of the incidence matrix representation. Here we use clique matrices to d...
David Barber