Harper-type lower bounds and the bandwidths of the compositions of graphs
โ Scribed by Sanming Zhou; Jinjiang Yuan
- Book ID
- 108316140
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 541 KB
- Volume
- 181
- Category
- Article
- ISSN
- 0012-365X
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๐ SIMILAR VOLUMES
Let G be a simple graph with n P 3 vertices and orientable genus g and non-orientable genus h. We deยฎne the Euler characteristic vq of a graph G by vq maxf2 ร 2gY 2 ร hg. Let kq be the least eigenvalue of the adjacency matrix A of G. In this paper, we obtain the following lower bounds of kq kq P ร 2
The composition of two graphs G and H, written G[H], is the graph with vertex set V(G) x V(H) and with (u,, uI) adjacent to (ul, ul) if either u1 is adjacent to IQ in G or u1 = u2 and ul is adjacent to v2 in H. In this paper, we investigate the bandwidth problem for the composition of two graphs and