Channel assignment on graphs of bounded treewidth
โ Scribed by Colin McDiarmid; Bruce Reed
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 211 KB
- Volume
- 273
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
We address various channel assignment problems on the Cayley graphs of certain groups, computing the frequency spans by applying group theoretic techniques. In particular, we show that if G is the Cayley graph of an n-generated group with a certain kind of presentation, then (G; k, 1) โค 2(k +n-1). F
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
The automorphism-group of an infinite graph acts in a natural way on the set of d-fibers (components of the set of rays with respect to the Hausdorff metric). For connected, locally finite, almost transitive graphs the kernel of this action is proved to be the group of bounded automorphisms. This co