Borel Cayley Graph-Based Topology Control for Consensus Protocol in Wireless Sensor Networks

Algorithm 1

Calculating 𝑗^′ and 𝑖^′.

Require: 𝕋 is nonsingular.

 (1) procedure CALCULATING 𝑗^′ AND 𝑖^′(𝕋,𝑣)

  (2)  𝑗^′,𝑖^′←0

  (3)  while Not 𝑣∈𝕒  do          ⊳ Find 𝑗^′ of 𝕋 using (8)

  (4)   𝑣←𝕋⁻¹𝑣

  (5)   𝑗^′←𝑗^′+1

  (6)  end while

  (7)  while  𝑣≠𝕒_𝑖′  do           ⊳ Find 𝑖^′ of 𝕒_𝑖′ using (8)

  (8)   𝑖^′←𝑖^′+1

  (9)  end while

  (10) return 𝑗^′,𝑖^′

  (11) end procedure