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» On the Maximum Number of Cliques in a Graph
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FOCS
2008
IEEE
14 years 2 months ago
Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph
We prove that approximating the Max Acyclic Subgraph problem within a factor better than 1/2 is Unique-Games hard. Specifically, for every constant ε > 0 the following holds:...
Venkatesan Guruswami, Rajsekar Manokaran, Prasad R...
CIAC
2010
Springer
262views Algorithms» more  CIAC 2010»
13 years 11 months ago
Graph unique-maximum and conflict-free colorings
We investigate the relationship between two kinds of vertex colorings of graphs: uniquemaximum colorings and conflict-free colorings. In a unique-maximum coloring, the colors are ...
Panagiotis Cheilaris and Géza Tóth
ICCV
2003
IEEE
14 years 9 months ago
Graph Partition by Swendsen-Wang Cuts
Vision tasks, such as segmentation, grouping, recognition, can be formulated as graph partition problems. The recent literature witnessed two popular graph cut algorithms: the Ncu...
Adrian Barbu, Song Chun Zhu
MFCS
2009
Springer
14 years 2 months ago
The Longest Path Problem Is Polynomial on Interval Graphs
The longest path problem is the problem of finding a path of maximum length in a graph. Polynomial solutions for this problem are known only for small classes of graphs, while it ...
Kyriaki Ioannidou, George B. Mertzios, Stavros D. ...
DMTCS
2010
157views Mathematics» more  DMTCS 2010»
13 years 5 months ago
Edge-Removal and Non-Crossing Configurations in Geometric Graphs
A geometric graph is a graph G = (V, E) drawn in the plane, such that V is a point set in general position and E is a set of straight-line segments whose endpoints belong to V . W...
Oswin Aichholzer, Sergio Cabello, Ruy Fabila Monro...