Table 1

Cyclic graph Isomorphic graph Vertex degree sequences Clique number Geodetic number Planarity

3, 1, 1, 1 2 3 Planar
5, 2, 2, 1, 1, 1 3 5 Planar
7, 1, 1, 1, 1, 1, 1, 1 2 7 Planar
7, 5, 3, 3, 3, 3, 1, 1 4 6 Planar
7, 3, 3, 3, 1, 1, 1, 1 4 7 Planar
7, 7, 3, 3, 3, 3, 3, 3 4 6 Planar
8, 2, 2, 2, 2, 2, 2, 2, 2 3 8 Planar
9, 4, 4, 4, 4, 1, 1, 1, 1, 1 5 9 Nonplanar
11, 9, 9, 5, 5, 5, 3, 3, 3, 3, 1, 1 6 10 Nonplanar
11, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1 6 11 Nonplanar
11, 11, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3 6 10 Nonplanar
11, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1 3 11 Planar
13, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1 7 13 Nonplanar