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Table 2 Descriptors for the chemical graph \({\mathbb {C}}\) given in Fig. 2a

From: A unified approach to inferring chemical compounds with the desired aqueous solubility

Descriptor

Descriptor value

Number of non-hydrogen atoms in \({\mathbb {C}}\)

12

Rank of \({\mathbb {C}}\)

1

Number of vertices in the interior

7

Average mass

56.667

Number of non-hydrogen vertices of degree 1

0

Number of non-hydrogen vertices of degree 2

5

Number of non-hydrogen vertices of degree 3

2

Number of non-hydrogen vertices of degree 4

0

Number of vertices of degree 1 in the interior

1

Number of vertices of degree 2 in the interior

5

Number of vertices of degree 3 in the interior

1

Number of vertices of degree 4 in the interior

0

Number of edges of bond multiplicity 2 in the interior

0

Number of edges of bond multiplicity 3 in the interior

0

Frequency of chemical elements in the interior:

 

C

7

Frequency of chemical elements in the exterior:

 

C

3

O

2

Frequency of edge-configurations in the interior:

 

C 2 C 2 1

2

C 2 C 3 1

5

Frequency of fringe-configurations in the set of \(\rho \)-fringe trees:

 

C 0 H 1

1

C 0 H 1 H 1

4

C 0 H 1 H 1 C 1 O 2 H 3

1

C 0 H 1 C 1 H 2 C 2 H 3 H 3

1

Frequency of adjacency-configurations in the set of leaf-edges:

 

C C 1

1

O C 1

1

O C 2

1