We prove that every bipartite C 2' -free graph G contains a C 4free subgraph H with e(H) ! e(G)=(' Γ 1). The factor 1=(' Γ 1) is best possible. This implies that ex(n; C 2' ) 2(' Γ 1)ex(n; fC 4 ; C 2' g), which settles a special case of a conjecture of Erdo Λs and Simonovits.
β¦ LIBER β¦
On 4-connected graphs without even cycle decompositions
β Scribed by Romeo Rizzi
- Book ID
- 108315592
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 90 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0012-365X
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