Here are Some easy to intermediate codeforces graph/backtracking problems this problems normally only use some basic knowledge of graphs/trees + basic algorithms , I hope it helps

1-Destroying Bridges link[problem:1944A] rate : 800 -> basic of graphs [Very Simple]

2-Computer Game link[problem:1598A] rate : 800 -> not so much graph [Very Simple]

3-Li Hua and Maze link[problem:1797A] rate : 800 -> not so much graph + edge cases [Very Simple]

Sum in binary tree link[problem:1843C] rate : 800 -> not so much graph or tree [Very Simple]

Love triangle link[problem:939A] rate : 800 -> can be solved with graph or not [Very Simple]

Party link[problem:115A] and Party link[problem:116C] rate : 900 -> bfs [Simple]

New Year Transportation link[problem:500A] rate : 1000 -> dfs [Simple]

Transformation : from A to B link[problem:727A] rate : 1000 -> backtracking / dfs [Simple]

Badge link[problem:1020B] rate : 1000 -> dfs [Simple]

Frog Jumps link[problem:1324C] rate : 1100 -> not so much graph but can be solved with dfs [Very Simple]

Dzy loves chessboard link[problem:445A] rate : 1200 -> can be solved with dfs [Simple(simpler than it's rating)]

Ice Skating link[problem:217A] rate : 1200 -> dfs [Simple/Intermediate]

Rumor link[problem:893C] rate : 1300 -> dfs [Simple]

Dreamon and Wifi link[problem:416B] rate : 1300 -> backtracking [Simple]

4-Inversion Graph link[problem:1638C] rate : 1300 -> creativity [Simple/Intermediate]

Game On Tree link[problem:1970C1] rate : 1300 -> trees + dfs/bfs [Simple/Intermediate]

5-Queen link[problem:1143C] rate : 1400 -> trees + you can use dfs/bfs [Simple]

Two Buttons link[problem:520B] rate : 1400 -> bfs [Simple/Intermediate]

6-Kefa and park link[problem:580C] rate : 1500 -> trees + dfs/bfs [Intermediate]

7-Cyclic components link[problem:977E] rate : 1500 -> dfs [Intermediate]

Maze link[problem:377A] rate : 1600 -> bfs [Intermediate]

The Two Routes link[problem:601A] rate : 1600 -> bfs / matrix [Intermediate/Hard]

Graph Without Long Directed Path link[problem:1144F] rate : 1700 -> bipartite graphs [Intermediate/Hard]

Beautiful Graph link[problem:1093D] rate : 1700 -> bipartite graphs [Intermediate/Hard]

Game On Tree link[problem:1970C2] rate : 1700 -> a little hard + dfs/bfs [Intermediate/Hard]