Below you can find graphs examples, you may create your graph based on one of them.
Planar graph example
Summer
Cayley Graph Z2xZ3
Blueprint
Halin graph example
Brown
Complete Graph K6
Black & White
Bipartite graph
Blue style
Weighted graph
Gray style
Big Tree
Graph of Central European cities Russian
Hamiltonian Graph
The kingdom Plantae (russian)
Graph like heart