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- 1944A - Разрушение мостов rate : 800 -> basic of graphs [Very Simple]
2- 1598A - Компьютерная игра rate : 800 -> not so much graph [Very Simple]
3- 1797A - Li Hua и лабиринт rate : 800 -> not so much graph + edge cases [Very Simple]
4- 1843C - Сумма в бинарном дереве rate : 800 -> not so much graph or tree [Very Simple]
5- 939A - Любовный треугольник rate : 800 -> can be solved with graph or not [Very Simple]
6&7- 115A - Праздник and 116C - Праздник rate : 900 -> bfs [Simple]
8- 500A - Транспорт на Новый год rate : 1000 -> dfs [Simple]
9- 727A - Превращение: из A в B rate : 1000 -> backtracking / dfs [Simple]
10- 1020B - Бейджик rate : 1000 -> dfs [Simple]
11- 1324C - Прыгающая лягушка rate : 1100 -> not so much graph but can be solved with dfs [Very Simple]
12- 445A - DZY любит шахматную доску rate : 1200 -> can be solved with dfs [Simple(simpler than it's rating)]
13- Ice Skating 217A - Катание на Коньках rate : 1200 -> dfs [Simple/Intermediate]
14- 893C - Слух rate : 1300 -> dfs [Simple]
15- 416B - Гильдия художников rate : 1300 -> backtracking [Simple]
16- 1638C - Граф инверсий rate : 1300 -> creativity [Simple/Intermediate]
17- 1970C1 - Game on Tree (Easy) rate : 1300 -> trees + dfs/bfs [Simple/Intermediate]
18- 1143C - Queen rate : 1400 -> trees + you can use dfs/bfs [Simple]
19- 520B - Две кнопки rate : 1400 -> bfs [Simple/Intermediate]
20- 580C - Кефа и парк rate : 1500 -> trees + dfs/bfs [Intermediate]
21- 977E - Компоненты-циклы rate : 1500 -> dfs [Intermediate]
22- 377A - Лабиринт rate : 1600 -> bfs [Intermediate]
23- 601A - Два пути rate : 1600 -> bfs / matrix [Intermediate/Hard]
24- 1144F - Граф без длинных ориентированных путей rate : 1700 -> bipartite graphs [Intermediate/Hard]
25- 1093D - Красивый граф rate : 1700 -> bipartite graphs [Intermediate/Hard]
26- 1970C2 - Game on Tree (Medium) rate : 1700 -> a little hard + dfs/bfs [Intermediate/Hard]
