Lattice bandwidth of random graphs
β Scribed by Colin McDiarmid; Zevi Miller
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 430 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
π 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 Γ(l 1 , F F F ,l m ) is the graph consisting of m pairwise internally
Peck, G.W. and A. Shastri, Bandwidth of theta graphs with short paths, Discrete Mathematics 103 (1992) 177-187. The bandwidth problem for a graph is that of labelling its vertices with distinct integers so that the maximum difference across an edge is minimized. We here solve this problem for all
The interval degree id(G) of a graph G is deΓΏned to be the smallest max-degree of any interval supergraphs of G. One of the reasons for our interest in this parameter is that the bandwidth of a graph is always between id(G)=2 and id(G). We prove also that for any graph G the interval degree of G is