A graph is 2K,-free if it does not contain an independent pair of edges as an induced subgraph. We show that if G is 2K,-free and has maximum degree A(G) = D, then G has at most 5D2/4 edges if D is even. If D is odd, this bound can be improved to (5D\* -20 + 1)/4. The extremal graphs are unique.
On the number of trees having k edges in common with a graph of bounded degrees
โ Scribed by Ioan Tomescu
- Book ID
- 108316063
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 128 KB
- Volume
- 169
- Category
- Article
- ISSN
- 0012-365X
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