Lexicographical ordering by spectral moments of trees with a prescribed diameter
โ Scribed by Yaping Wu; Huiqing Liu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 206 KB
- Volume
- 433
- Category
- Article
- ISSN
- 0024-3795
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โฆ Synopsis
Let T n,d be the class of trees with n vertices and diameter d. In this paper, the lexicographic ordering of trees in the set T n,d (3 d n -2) by spectral moments is considered, and the last d 2 + 1 trees, in an S-order, among all trees in T n,d (4 d n -3) are characterized. Moreover, all trees in T n,d have an S-order for d 3 and d n -2.
๐ SIMILAR VOLUMES
Let H=(V H , E H ) be a graph, and let k be a positive integer. A graph G=(V G , E G ) is H-coverable with overlap k if there is a covering of the edges of G by copies of H such that no edge of G is covered more than k times. Denote by overlap(H, G) the minimum k for which G is H-coverable with over