The Linear Arboricity of Graphs on Surfaces of Negative Euler Characteristic
β Scribed by Wu, Jian-Liang
- Book ID
- 118197208
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2009
- Tongue
- English
- Weight
- 152 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0895-4801
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π SIMILAR VOLUMES
The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. Akiyama, Exoo, and Harary conjectured for any simple graph G with maximum degree β. The conjecture has been proved to be true for graphs having β =
The point-linear arboricity of a graph G = (V, E), written as p,(G), is defined as p,(G) =min{k / there exists a partition of V into k subsets, V =LJt, V,, such that (V,) is a linear forest for 1 <i <k}. In this paper, we will discuss the point-linear arboricity of planar graphs and obtained follow
## Abstract The linear vertexβarboricity Ο(__G__) of a graph __G__ is defined to be the minimum number of subsets into which the vertex set of __G__ can be partitioned such that each subset induces a linear forest. In this paper, we give the sharp upper and lower bounds for the sum and product of l
Bermond et al. [2] conjectured that the edge set of a cubic graph G can be partitioned into two k-linear forests, that is to say two forests whose connected components are paths of length at most k, for all k >/5. We shall prove a weaker result that the statement is valid for all k/> 18. All graphs