A k-tree of a graph is a subtree with maximum degree at most k. Though forbidden subgraphs are a major tool to find a hamiltonian cycle or a hamiltonian path, there are only a few results using the condition on forbidden subgraphs to find a spanning k-tree for k<3. In this paper, we give a sufficient condition using the condition on forbidden subgraphs for a graph G to have a spanning k-tree.
- Forbidden subgraph
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics