Covering and packing in graphs IV: Linear arboricity
β Scribed by Jin Akiyama; Geoffrey Exoo; Frank Harary
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 192 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
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 =
Akiyama, Exoo, and Harary conjectured that for any simple graph G with maximum degree A(G). the linear arboricity / a ( G ) satisfies rA(G)/21 5 /a(G) 5 r(A(G) + 11/21, Here it is proved that if G is a loopless graph with maximum degree A ( G ) S k and maximum edge multiplicity ## 1. Introduction
## 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
## Abstract The linear arboricity of a graph __G__ is the minimum number of linear forests which partition the edges of __G__. Akiyama et al. conjectured that $\lceil {\Delta {({G})}\over {2}}\rceil \leq {la}({G}) \leq \lceil {\Delta({G})+{1}\over {2}}\rceil$ for any simple graph __G__. Wu wu prove