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Dynamic Algorithms for Graphs of Bounded Treewidth

โœ Scribed by T. Hagerup


Publisher
Springer
Year
2000
Tongue
English
Weight
181 KB
Volume
27
Category
Article
ISSN
0178-4617

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๐Ÿ“œ SIMILAR VOLUMES


On bounded treewidth duality of graphs
โœ Ne?et?il, Jaroslav; Zhu, Xuding ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 734 KB

For a graph H , the H-coloring problem is to decide whether or not an instance graph G is homomorphic to H . The H-coloring problem is said to have bounded treewidth duality if there is an integer k such that for any graph G which is not homomorphic to H , there is a graph F of treewidth k which is

Efficient and Constructive Algorithms fo
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In this paper we give, for all constants k, l, explicit algorithms that, given a graph ลฝ . Gs V,E with a tree-decomposition of G with treewidth at most l, decide ลฝ . whether the treewidth or pathwidth of G is at most k, and, if so, find a ลฝ . tree-decomposition or path-decomposition of G of width at

Efficient Parallel Algorithms for Graphs
โœ Jens Lagergren ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 236 KB

We present an efficient parallel algorithm for the tree-decomposition problem ลฝ 3 . ลฝ. for fixed width w. The algorithm runs in time O O log n and uses O O n processors on an ARBITRARY CRCW PRAM. The sequential complexity of our tree-decom-ลฝ 2 . position algorithm is O O n log n . The tree-decomposi

A spectral lower bound for the treewidth
โœ L.Sunil Chandran; C.R. Subramanian ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 95 KB

We give a lower bound for the treewidth of a graph in terms of the second smallest eigenvalue of its Laplacian matrix. We use this lower bound to show that the treewidth of a d-dimensional hypercube is at least 3 We generalize this result to Hamming graphs. We also observe that every graph G on n v