Balanced.lean`

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Project sources: Pinned project documentation, Formal Conjectures paper, arXiv v1

1 declarations, 0 contain sorry, 0 declared as axioms

D-Balanced graphs

SimpleGraph.IsBalanced G D is the condition that the maximum degree of a simple graph $G$ is at most $D$ times the minimum degree.

Imports (2)

Imported by 1 file

FormalConjecturesForMathlib.lean

def SimpleGraph.IsBalanced We call a graph $D$-balanced (or $D$-almost-regular) if the maximum degree is at most $D$ times the minimum degree line 40 source
Source documentation
We call a graph $D$-balanced (or $D$-almost-regular) if the maximum degree is at most $D$ times the minimum degree.

standard axioms: Classical.choice, Quot.sound, propext what this means
Statement uses: Fintype, SimpleGraph, Real, DecidableRel, SimpleGraph.Adj
Proof uses: LE.le, SimpleGraph.maxDegree, HMul.hMul, SimpleGraph.minDegree
5 instances, coercions and auxiliary constants left out.
```
def IsBalanced (G : SimpleGraph V) (D : ℝ) [DecidableRel G.Adj] : Prop :=
…
```