Table 5 All types of edge-cuts with their cardinalities.
From: On Zagreb coindices and Mostar index of \(TiO_2\) nanotubes
Case | Cut-type | Number of cuts | Size of cuts |
|---|---|---|---|
When \(m>n\) | \(A_i\) | \(1\le i\le n\) | 4i |
\(B_i\) | \(1\le i\le m-n-1\) | 4n | |
\(C_i\) | \(1\le i\le n\) | \(2(2i-1)\) | |
\(Y_i\) | \(1\le i\le n\) | 2m | |
\(Z_i\) | \(1\le i\le 2n-1\) | 2m | |
When \(m\le n\) | \(A_i\) | \(1\le i\le m-1\) | \(4(4i-2)\) |
\(B_i\) | \(1\le i\le n-m+1\) | \(4(m-1)+2\) | |
\(C_i\) | \(1\le i\le m-1\) | \(2(2i-1)\) | |
\(Y_i\) | \(1\le i\le n\) | 2m | |
\(Z_i\) | \(1\le i\le 2n-1\) | 2m |