Lower bounds for treewidth of product graphs
โ Scribed by Kozawa, Kyohei; Otachi, Yota; Yamazaki, Koichi
- Book ID
- 122491918
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 416 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0166-218X
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๐ SIMILAR VOLUMES
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
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