Asymptotic Determination of Edge-Bandwidth of Multidimensional Grids and Hamming Graphs
โ Scribed by Akhtar, Reza; Jiang, Tao; Miller, Zevi
- Book ID
- 118196948
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2008
- Tongue
- English
- Weight
- 306 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
An edge-labeling f of a graph G is an injection from E(G) to the set of integers. The edge-bandwidth of G is B H (G) min f {B H (f )}, where B H (f ) is the maximum difference between labels of incident edges of G. The theta graph ร(l 1 , F F F ,l m ) is the graph consisting of m pairwise internally
Let G n,m denote a graph with nm vertices arranged in n rows and m โฅ max{n, 2} columns with an edge {u, v} between vertices u and v if they are adjacent horizontally or vertically. The bandwidth of G n,m is known to equal n. We prove that the number of edges in a bandwidth-achieving linear arrangeme