Introduction to Algorithms (CS300) in Fall 2022 at KAIST's School of Computing
All Computer Science is based on the concept of an efficient algorithm: a finite sequence of primitive instructions that, when executed according to their wellspecified semantics, provably provide a mechanical solution to the infinitely many instances of a complex mathematical problem within a guaranteed number of steps of least asymptotic growth. We thus call these 'virtues' of Theoretical Computer Science:
 full and unambiguous problem specification
 formal semantics of operational primitives
 algorithm design (as opposed to 'coding')
 and analysis (correctness, asymptotic cost)
 with proof of asymptotic optimality.
We will learn all about important basic algorithms and their analysis, as well as the difference to heuristics or programs/code. Their practical impact is demonstrated in selected implementations.
Lecturer: Martin Ziegler
Lecture location: E11 Terman Hall / online
Schedule: Tuesdays and Thursdays, 10:30am to 12:00 KST
Language: English only (except for students discussing in KLMS)
Teaching Assistants: Lwam Araya, Sookyung Han, Sujeong Lim, Abbas Mammadov, Jinyoung Oh, Mingi Shin, Biniyam Aschalew Tolera
Office hours: TBD
Quiz: On randomly selected sessions we will perform a short online quiz.
Recommended background: CS204 (Discrete Mathematics), CS206 (Data Structures)
Philosophy/Pedagogy
Education is a Human Right, not a competition.
This course aims beyond, and takes for granted students mastering, the first level of Bloom's Hierarchy of cognitive learning.
Each chapter (see #syllabus) below deliberately starts very easy and then grows to more involved aspects and ends with cross promotion to advanced topics covered by separate lectures.
Homework/Assignments:
Receptive learning and reproductive knowledge do not suffice for thorough understanding. Hence, for students' convenience, we will regularly offer homework assignments, both theoretically and practically; and encourage working on them by having a random selection of them enter into the final grade.
Submit your individual handwritten solutions to theoretical problems in due time into one of the homework submission boxes; and the programming assignments in ELICE
Academic Honesty:
Late homework submissions (until 7pm) will receive a 50% penalty.
We do not accept late submissions.
Copied solutions receive 0 points and personal interrogation during office/claiming hours.
Cheating during the exam results in failed grade F.
You are to sign and submit a pledge of integrity with your first written homework solution.
Literature:
 Cormen, Leiserson, Rivest, Stein: Introduction to Algorithms (3rd Edition), MIT Press (2009).
 Donald Knuth: The Art of Computer Programming, Volume 1 Fundamental Algorithms
 Dasgupta, Papadimitriou, Vazirani: Algorithms, McGrawHill (2006).
 Kleinberg, Tardos: Algorithm Design, Pearson (2006).
 Vöcking, Alt, Dietzfelbinger, Reischuk, Scheideler, Vollmer, Wagner: Algorithms Unplugged, Springer (2011).
 M. Sipser: Introduction to the theory of computation, Boston (1997)
 Peter Brass: Advanced Data Structures (2008)
For your convenience some of these books have been collected in KAIST's library 'on reserve' for this course.
Synopsis/Syllabus:

 Hierarchy of Abstraction
 Virtues of Computer Science:
 Problem specification
 Algorithm design
 Asymptotic analysis
 Optimal efficiency
 Operational primitives
 Five algorithms for computing Fibonacci Numbers
 Recurrences and the Master Theorem
 Polynomial Multiplication: Long, Karatsuba, Toom, Cook

 Linear Search
 Binary Search
 Uniqueness
 Hashing
 Median/Order Statistics
 Approximate/LinearTime
 1D Range Counting
 2D/3D Range Counting
 Range Reporting

 Bubble Sort
 Selection Sort
 Insertion Sort
 Merge Sort
 Quicksort
 LinearTime Median revisited
 Optimality of Sorting
 Counting Sort
 Radix Sort
 Sorting in Parallel

 Hardware vs. Mathematical
 Logical Structures = Abstract Data Types
 Basic: Boolean/Bit, Integer
 Derived: Array, Stack, Queue
 Linked Data Structures
 (Balanced) Search Trees
 AVL Trees

 Recap on Graphs: un/directed, weighted
 Connectedness
 Shortest Paths: singlesource, allpairs
 Minimum Spanning Tree: Prim, Kruskal
 MaxFlow: FordFulkerson, EdmondsKarp
 Max. bipartite matching
 MinCut

 Terminology
 Pattern matching: KnuthMorrisPratt
 Longest Common Substring
 Edit Distance: WagnerFischer
 Parsing: CockeYoungerKasami
 Huffman Compression

 Divide and Conquer
 Dynamic Programming
 Greedy
 Backtracking
 Branch and Bound

 Un/Reliability
 Sources of Randomness
 Las Vegas vs. Monte Carlo
 Primality Testing
 Errors and Amplification
 Blackbox Polynomial Test
 SchwartzZippel Lemma
ELearning:
 homework assignment #0 and honor code will be uploaded on KLMS.
 Due to the large number (>300) of students enrolled, we unfortunately cannot answer questions by email.
Instead please use the KLMS Bulletin Board or visit the TAs during their office hours.