On the Pagenumber of k -Trees
โ Scribed by Vandenbussche, Jennifer; West, Douglas B.; Yu, Gexin
- Book ID
- 118197720
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2009
- Tongue
- English
- Weight
- 189 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The pagenumber p(G) of a graph G is defined as the smallest n such that G can be embedded in a book with n pages. We give an upper bound for the pagenumber of the complete bipartite graph K m, n . Among other things, we prove p(K n, n ) w2nร3x+1 and p(K wn 2 ร4x, n ) n&1. We also give an asymptotic
k-trees are I special class of perfect elimination grap% which arise in the study of sparse linear systems. We present four simple ch,&r.xterizations of k-trees involving cliques, paths, and separators.
In this paper, we show that seven pages are sufficient for a book embedding of any toroidal graph.