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trees.ppt
- 1.
- 2. • Faster thanlinear data structures • More natural fit for some kinds of data • Examples? Why a tree?
- 3. Example Tree root Activities Teaching Research Sami’sHome Page Papers Presentations CS211 CS101 Conference Journal
- 4. Terminology • Root • Parent •Child • Sibling • External node • Internal node • Subtree • Ancestor • Descendant
- 5. Example Tree root Activities Teaching Research Sami’sHome Page Papers Presentations CS211 CS101 Root? Parent – papers, activities Children – cs101, research Sibling - teaching External nodes Internal nodes Subtree – left subtree of research? Ancestor – papers ancestor of activities? Descendant – papers descendant of home?
- 6. Ordered Trees • Linearrelationship between child nodes • Binary tree – max two children per node – Left child, right child Davidson Truman Rollins Taft Zuniga Ralson Brown root
- 7. Another Ordered BinaryTree Ralson Truman Brown Taft Zuniga Rollins Davidson root
- 8. Tree Traversal • Pre-ordertraversal – Visit node, traverse left subtree, traverse right subtree • Post-order traversal – Traverse left subtree, traverse right subtree, visit node
- 9. Example • Pre-order • Post-order Davidson Truman Rollins TaftZuniga Ralson Brown root
- 10. Example • Pre (N,L,R)– Ajay, Bhanu, Dravid, Harini, Eswar, Chandu, Farhan, Ishaq, Gopi • Post(L,R,N)– Harini, Dravid, Eswar, Bhanu, Ishaq, Farhan, Gopi, Chandu, Ajay In-Order (L, N, R )– Bhanu Chandu Ajay Farhan Gopi Eswar Dravid root Harini Ishaq
- 11. Another Example Ralson Truman Brown Taft Zuniga Rollins Davidson root •Pre – Brown, Truman, Taft, Ralson, Davidson, Rollins, Zuniga • Post – Davidson, Rollins, Ralson, Taft, Zuniga, Truman, Brown
- 12. In-order Traversal • Traverse •left subtree, visit node, right subtree – Brown, Davidson, Ralson, Rollins, Taft, Truman, Zuniga Davidson Truman Rollins Taft Zuniga Ralson Brown root
- 13. A B C D EF G H I J Pre Order : H, I, D, J, E, B, F, G, C, A Post Order:
- 14. Another Example Ralson Truman Brown Taft Zuniga Rollins Davidson root •In-order – Brown, Davidson, Ralson, Rollins, Taft, Truman, Zuniga