10.1 Graph representations 10.2 Breadth-first and depth-first search algorithms 10.3 Topological sort 10.4 Disjoint sets and strategy of union by rank and path compression 10.5 Minimum spanning tree 10.6 Prim's and Kruskal's algorithm 10.7 Single-source shortest-paths algorithms: breadth-first search, Dag shortest paths, Dijkstra algorithm, and Bellman-Ford algorithm 10.8 All-pairs shortest-paths algorithms: brute-force, dynamic programming, Floyd-Warshall algorithm, and Johnson algorithm 10.9 Ford-Fulkerson max-flow algorithm and Edmonds-Karp algorithm

9.1 Activity-selection problem 9.2 Introduction to greedy solution 9.3 Steps of the greedy strategy 9.4 Knapsack problem 9.5 Huffman code

8.1 Manufacturing problem 8.2 Matrix-chain multiplication 8.3 Elements of dynamic programming 8.4 Four steps of development 8.5 Longest common subsequence problem

7.1 Introduction to amortized analysis 7.2 Aggregate method 7.3 Accounting method 7.4 Potential method 7.5 Dynamic tables

6.1 Binary trees and binary search tree 6.2 Inorder, preorder, and postorder tree walk 6.3 Successor and predecessor of BST 6.4 Operations of BST: search, Minimum and maximum, constructing, deletion and insertion 6.5 Balanced search trees 6.6 AVL trees 6.7 Single and double rotation 6.8 Red-black trees 6.9 B-tree (2-3-4 tree)

5.1 Dictionary problem 5.2 Hash functions 5.3 Collisions resolution by chaining 5.4 Open addressing 5.5 Probing strategies: linear, quadratic, and double hashing 5.6 Analysis of open addressing

4.1 Randomized algorithm 4.2 Quicksort and randomized quicksort 4.3 Expected running time of quicksort 4.4 Max-heaps and min-heaps 4.5 Heap operations: heapify, building, and key increasing 4.6 heap sort and priority queues 4.7 Comparisons of sort algorithms: heap sort, quick sort, insertion sort, and merge sort 4.8 Comparison sort and decision tree model 4.9 Sorting in linear time: counting-sort, radix sort, and bucket sort

3.1 Definition of data structure 3.2 Stacks 3.3 Queues 3.4 Linked lists 3.5 Trees 3.6 Postfix expression 3.7 Infix to postfix conversion

2.1 Divide-and-conquer design paradigm 2.2 Recurrence for merge sort and binary search 2.3 Powering a number 2.4 Fibonacci numbers 2.5 Recursive squaring 2.6 Matrix multiplication 2.7 Strassen's algorithm

1.1 Definition of algorithm 1.2 Insertion sort and merge sort 1.3 Running time and asymptotic analysis 1.4 Θ-notation, Ω-notation, and O-notation 1.5 Recurrences 1.6 Substitution, recursion-tree method, and master method