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Cycle of given length

HasCycleLengthdef

A graph has a cycle of length k when some closed walk of that length repeats no vertex or edge. Which cycle lengths a graph must contain is the subject of a large family of extremal questions.

def HasCycleLength {V : Type*} (G : SimpleGraph V) (k : ℕ) : Prop :=
  ∃ (v : V) (w : G.Walk v v), w.IsCycle ∧ w.length = k

import Conjectura.Defs.Mathematics.Combinatorics.GraphTheory.CycleLength · maintainer — open · raw source

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