Forbidden subgraphs and Hamiltonian properties of graphs
โ Scribed by Ronald J. Gould; Michael S. Jacobson
- Book ID
- 107748423
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 344 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We show that the minimum set of unordered graphs that must be forbidden to get the same graph class characterized by forbidding a single ordered graph is infinite.
Beineke and Robertson independently characterized line graphs in terms of nine forbidden induced subgraphs. In 1994, S8 olte s gave another characterization, which reduces the number of forbidden induced subgraphs to seven, with only five exceptional cases. A graph is said to be a dumbbell if it con
## Abstract It is proven that if __G__ is a 3โconnected clawโfree graph which is also __H__~1~โfree (where __H__~1~ consists of two disjoint triangles connected by an edge), then __G__ is hamiltonianโconnected. Also, examples will be described that determine a finite family of graphs ${\cal L}$ suc