An Upper Bound on the Number of Edges in an Almost Planar Bipartite Graph
โ Scribed by Karpov, D. V.
- Book ID
- 121571422
- Publisher
- Springer US
- Year
- 2014
- Tongue
- English
- Weight
- 348 KB
- Volume
- 196
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We show that an n-vertex bipartite K 3,3 -free graph with n 3 has at most 2n -4 edges and that an n-vertex bipartite K 5 -free graph with n 5 has at most 3n -9 edges. These bounds are also tight. We then use the bound on the number of edges in a K 3,3 -free graph to extend two known NC algorithms fo
In this paper, we prove that any edge-coloring critical graph G with maximum degree ยฟ (11 + โ 49 -24 )=2, where 6 1, has the size at least 3(|V (G)| -) + 1 if 6 7 or if ยฟ 8 and |V (G)| ยฟ 2 --4 -( + 6)=( -6), where is the minimum degree of G. It generalizes a result of Sanders and Zhao.