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Reduced graph of a regularity partition
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Area of mathematics
Foundations of mathematics
Graph theory
Probabilistic combinatorics
Edge density of a bipartite graph
Regular pair of vertex sets
2026-09-28
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Given
a
regularity partition and
a
density
cutoff
δ
, its reduced
graph
has one
vertex
for each nonexceptional class and joins two classes when their
pair
is regular and has
density
at least
δ
.
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(8)
Regular pair of vertex sets
Edge density of a bipartite graph
Probabilistic combinatorics
Graph theory
Foundations of mathematics
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 122
/
4
/
d
/
Solution
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