Table 22 Partition of edges of \(H_1\), when \(x>1\), \(y>1\).

From: Chemical significance and degeneracy of weighted degree-based topological descriptor second Davan index for octane isomers and computation of certain nanostructures

\((d_{H_1}^w(r), d_{H_1}^w(s))\)

where \(rs \in E(H_1)\)

(4, 4)

(5, 4)

(5, 5)

(5,11)

(11, 11)

(11,12)

(12, 12)

Number of edges

4

8

\(2(x+y)-8\)

\(4(x+y)-8\)

\(2(x+y)-4\)

\(4(x+y)-8\)

\(12xy - 14(x+y) + 16\)

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