## Abstract For a graph __G__, let __a__(__G__) denote the maximum size of a subset of vertices that induces a forest. Suppose that __G__ is connected with __n__ vertices, __e__ edges, and maximum degree Ξ. Our results include: (a) if Ξββ€β3, and __G__ββ β__K__~4~, then __a__(__G__)ββ₯β__n__βββe/4βββ1
Large Induced Forests in Triangle-Free Planar Graphs
β Scribed by Mohammad R. Salavatipour
- Publisher
- Springer Japan
- Year
- 2006
- Tongue
- English
- Weight
- 178 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Bollobas, B. and H.R. Hind, Graphs without large triangle free subgraphs, Discrete Mathematics 87 (1991) 119-131. The main aim of the paper is to show that for 2 < r <s and large enough n, there are graphs of order n and clique number less than s in which every set of vertices, which is not too sma
## Abstract For a graph __G__, let __t__(__G__) denote the maximum number of vertices in an induced subgraph of __G__that is a tree. Further, for a vertex __v__β__V__(__G__), let __t__(__G, v__) denote the maximum number of vertices in an induced subgraph of __G__that is a tree, with the extra cond