Characterization of graphs with equal bandwidth and cyclic bandwidth
β Scribed by Peter C.B. Lam; W.C. Shiu; W.H. Chan
- Book ID
- 108315591
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 94 KB
- Volume
- 242
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
We give counter-examples to the following conjecture which arose in the study of small bandwidth graphs. "For a graph G, suppose that IV(G')( < 1 + ci . diameter (G') for any connected subgraph G' of G, and that G does not contain any refinement of the complete binary tree of cz levels. Is it true
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