/-
Copyright 2026 The Formal Conjectures Authors.
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
https://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
-/
module
public import Mathlib.Combinatorics.SimpleGraph.Finite
public import Mathlib.Data.Real.Basic@[expose] public sectionnamespace SimpleGraphvariable {α : Type*} [Fintype α] [DecidableEq α]
temp_v G v = deg(v)/(n(G) - deg(v)).
noncomputable def temp_v (G : SimpleGraph α) [DecidableRel G.Adj] (v : α) : ℝ :=
let n := Fintype.card α
let deg := G.degree v
if n = deg then 0 else (deg : ℝ) / ((n : ℝ) - (deg : ℝ))
Maximum of temp_v over all vertices.
noncomputable def MaxTemp (G : SimpleGraph α) [DecidableRel G.Adj] [Nonempty α] : ℝ :=
let temps := Finset.univ.image (temp_v G)
temps.max' (Finset.image_nonempty.mpr Finset.univ_nonempty)end SimpleGraph