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FormalConjecturesForMathlib.Combinatorics.SimpleGraph.Cvetkovic

noncomputable def SimpleGraph.cvetkovic {α : Type u_1} [Fintype α] [DecidableEq α] (G : SimpleGraph α) [DecidableRel G.Adj] :

Given a simple graph G with adjacency matrix A, this is the number n₀ + min n₊ n₋ where:

  • n₀ is the multiplicity of zero as an eigenvalue of A
  • n₊ is the number of positive eigenvalues of A (counting multiplicities)
  • n₋ is the number of negative eigenvalues of A (counting multiplicities)
Equations
  • One or more equations did not get rendered due to their size.
Instances For