This document discusses concepts related to graphs and trees including graph terminology, examples of graphs, properties of graphs like degrees of vertices, the handshaking theorem, complete graphs, and regular graphs. It provides definitions and examples to explain these various graph theory concepts.

1. Application of Graph and Trees – (39 - 2)

2. Graph – (39 - 3)

3. Graph – (39 – 3a)

4. Example – (39 - 4)

5. Example – (39 – 4a)

6. Example – (39 – 4b)

7. Some Terminology – (39 - 5)

8. Some Terminology – (39 – 5a)

9. Some Terminology - (39 - 6)

10. Some Terminology – (39 – 6a)

11. Example – (39 – 7)

12. Solution – (39 – 7a)

13. Example – (39 - 8)

14. Example – (39 – 8a)

15. Solution – (39 - 9)

16. Solution – (39 – 9b)

17. Solution – (39 – 9d)

18. Solution – (39 – 9a)

19. Solution – (39 – 9e)

20. Example – (39 - 10)

21. Solution – (39 - 11)

22. Simple Graph – (39 - 12)

23. Degree of a Vertex – (39 - 15)

24. Example – (39 - 16)

25. Example – (39 – 16a)

26. Example – (39 – 16b)

27. Example – (39 – 16c)

28. Handshaking Theorem – (39 - 17)

29. Example – (39 - 19)

30. Solution – (39 – 19a)

31. Solution – (39 - 20)

32. Solution – (39 – 20a)

33. Solution – (39 – 20b)

34. Example – (39 - 22)

35. Complete Graph – (39 - 24)

36. Examples – (39 – 24a)

37. Regular Graph – (39 – 27)

38. Example – (39 - 28)