G₃(3, 9) — Vertex Distance Table

k = 3, n = 9  ·  Source A = 000111111  ·  |V| = C(9,3) = 84 vertices

Zero positions z₁ < z₂ < z₃ (1-based)  ·  dᵢ = zᵢ − i  · 
I(B) = Σ dᵢ = z₁+z₂+z₃ − 6  · 
Δ(B) = |(d₁ mod 2) − (d₂ mod 2) + (d₃ mod 2)|  · 
d(A,B) = (I + Δ) / 2  · 
Red rows: d(A,B) ≠ ⌈I/2⌉
84 rows
# B (binary) I(B) I(B) mod 2 Δ(B) Δ(B) > I(B) mod 2 d(A,B) ⌈I/2⌉
d(A,B) ≠ ⌈I/2⌉ zeros in binary string Δ(B) value d(A,B) value