Minors in Expanding Graphs
β Scribed by Michael Krivelevich; Benjamin Sudakov
- Book ID
- 105769289
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 368 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1016-443X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let be a real number such that 0< < 1 2 and t a positive integer. Let n be a sufficiently large positive integer as a function of t and . We show that every n-vertex graph with at least n 1+ edges contains a subdivision of K t in which each edge of K t is subdivided less than 10 / times. This refine
We prove that every graph of minimum degree at least r and girth at least 186 contains a subdivision of K rΓΎ1 and that for r5435 a girth of at least 15 suffices. This implies that the conjecture of Haj ! o os that every graph of chromatic number at least r contains a subdivision of K r (which is fal