The maximum edge count of a triangle-free graph on n vertices that must contain a prescribed triangle-free P is bounded above by nα(P)/2 and below by a Shearer-type expression, yielding Θ(n² ln d/d) for constrained P.
Dynamic concentration of the triangle-free process
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Sabotage the Mantel Theorem
The maximum edge count of a triangle-free graph on n vertices that must contain a prescribed triangle-free P is bounded above by nα(P)/2 and below by a Shearer-type expression, yielding Θ(n² ln d/d) for constrained P.