Spanning surfaces in 3-graphs
We prove a topological extension of Dirac's theorem suggested by Gowers in 2005: for any connected, closed surface S, we show that any two-dimensional simplicial complex on n vertices in which each pair of vertices belongs to at least n/3+o(n) facets contains a homeomorph of S spanning all the...
Үндсэн зохиолчид: | Georgakopoulos, A, Haslegrave, J, Montgomery, R, Narayanan, B |
---|---|
Формат: | Journal article |
Хэл сонгох: | English |
Хэвлэсэн: |
EMS
2021
|
Ижил төстэй зүйлс
Ижил төстэй зүйлс
-
A time-invariant random graph with splitting events
-н: Georgakopoulos, A, зэрэг
Хэвлэсэн: (2021) -
Countable graphs are majority 3-choosable
-н: John Haslegrave
Хэвлэсэн: (2023-01-01) -
Degrees in link graphs of regular graphs
-н: Benjamini, I, зэрэг
Хэвлэсэн: (2022) -
Monitoring edge-geodetic sets: hardness and graph products
-н: Haslegrave, J
Хэвлэсэн: (2023) -
Sum index, difference index and exclusive sum number of graphs
-н: Haslegrave, J
Хэвлэсэн: (2023)