Using the contraction method, we find a best possible condition involving the minimum degree for a triangle-free graph to have a spanning eulerian subgraph.
Coding graphs by contractions
β Scribed by D. P. Geller
- Publisher
- John Wiley and Sons
- Year
- 1976
- Tongue
- English
- Weight
- 486 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let X be a locally finite, vertex-transitive, infinite graph with polynomial growth. Then there exists a quotient group of Aut(X ) which contains a finitely generated nilpotent subgroup N which has the same growth rate as X . We show that X contains a subgraph which is finitely contractible onto the
We define the (elementary) binary contraction Gs of a graph G = (V, E) in the following way: if (S) is an induced K,,, not contained into an induced Klv3, then Gs is either the induced subgraph (V\ S), or the graph obtained from (V\S) by adding a new vertex adjacent to those x E V\S such that (S U(x