For large n, every n-vertex graph of minimum degree at least 0.852n has a fractional decomposition into triangles, and every K3-divisible such graph has an exact triangle decomposition above that threshold.
Kirkman, On a problem in combinatorics, Cambridge Dublin Mathe matical Journal, 2 (1847), 191–204
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.CO 1years
2019 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
On the minimum degree required for a triangle decomposition
For large n, every n-vertex graph of minimum degree at least 0.852n has a fractional decomposition into triangles, and every K3-divisible such graph has an exact triangle decomposition above that threshold.