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
The Point-Arboricity of Planar Graphs
β Scribed by Chartrand, G.; Kronk, H. V.
- Book ID
- 120097085
- Publisher
- Oxford University Press
- Year
- 1969
- Tongue
- English
- Weight
- 127 KB
- Volume
- s1-44
- Category
- Article
- ISSN
- 0024-6107
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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 =
## Abstract In this paper, we study the critical pointβarboricity graphs. We prove two lower bounds for the number of edges of __k__βcritical pointβarboricity graphs. A theorem of Kronk is extended by proving that the pointβarboricity of a graph __G__ embedded on a surface __S__ with Euler genus __