Trees Kun-Mao Chao (趙坤茂)

Slides:



Advertisements
Similar presentations
Analysis & Design of Algorithms (CSCE 321)
Advertisements

Minimum Spanning Trees Kun-Mao Chao ( 趙坤茂 ) Department of Computer Science and Information Engineering National Taiwan University, Taiwan
UMass Lowell Computer Science Analysis of Algorithms Prof. Karen Daniels Fall, 2009 Lecture 1 Introduction/Overview Text: Chapters 1, 2 Th. 9/3/2009.
Chapter 7 Network Flow Models.
Debugging CSC 171 FALL 2001 LECTURE 22. Project 4 Hardcopies are outside of CSB 722 All returns outside CSB 722.
UMass Lowell Computer Science Analysis of Algorithms Prof. Karen Daniels Fall, 2001 Lecture 1 Introduction/Overview Wed. 9/5/01.
UMass Lowell Computer Science Analysis of Algorithms Prof. Karen Daniels Fall, 2005 Lecture 1 Introduction/Overview Text: Chapters 1, 2 Wed. 9/7/05.
UMass Lowell Computer Science Analysis of Algorithms Prof. Karen Daniels Spring, 2007 Lecture 1 Introduction/Overview Text: Chapters 1, 2 Wed. 1/24/07.
UMass Lowell Computer Science Analysis of Algorithms Prof. Karen Daniels Spring, 2001 Lecture 1 Introduction/Overview Wed. 1/31/01.
Space-Saving Strategies for Computing Δ-points Kun-Mao Chao ( 趙坤茂 ) Department of Computer Science and Information Engineering National Taiwan University,
Visibility Graphs and Motion Planning Kittiphan Techakittiroj for the Degree of Master of Science Department of Computer Science, Ball State University,
Hon Wai Leong, NUS (CS6234, Spring 2009) Page 1 Copyright © 2009 by Leong Hon Wai CS6234 Lecture 1 -- (14-Jan-09) “Introduction”  Combinatorial Optimization.
ISE420 Algorithmic Operations Research Asst.Prof.Dr. Arslan M. Örnek Industrial Systems Engineering.
Counting Spanning Trees Kun-Mao Chao ( 趙坤茂 ) Department of Computer Science and Information Engineering National Taiwan University, Taiwan
Algorithms for Biological Sequence Analysis Kun-Mao Chao ( 趙坤茂 ) Department of Computer Science and Information Engineering National Taiwan University,
Course Introduction Software Engineering
Minimum Routing Cost Spanning Trees Kun-Mao Chao ( 趙坤茂 ) Department of Computer Science and Information Engineering National Taiwan University, Taiwan.
1 Network Coding and its Applications in Communication Networks Alex Sprintson Computer Engineering Group Department of Electrical and Computer Engineering.
Data Structures (Second Part) Lecture 1 Bong-Soo Sohn Assistant Professor School of Computer Science and Engineering Chung-Ang University.
Multiple Sequence Alignment Kun-Mao Chao ( 趙坤茂 ) Department of Computer Science and Information Engineering National Taiwan University, Taiwan WWW:
For Wednesday No reading No homework There will be homework for Friday, as well the program being due – plan ahead.
Algorithms for Biological Sequence Analysis Kun-Mao Chao ( 趙坤茂 ) Department of Computer Science and Information Engineering National Taiwan University,
1 BIM304: Algorithm Design Time: Friday 9-12am Location: B4 Instructor: Cuneyt Akinlar Grading –2 Midterms – 20% and 30% respectively –Final – 30% –Projects.
Algorithms for Biological Sequence Analysis Kun-Mao Chao ( 趙坤茂 ) Department of Computer Science and Information Engineering National Taiwan University,
1 Introduction to Software Engineering Wen-Yang Lin Dept. of Computer Science and Information Engineering National University of Kaohsiung February, 2007.
Introduction to Computer Science Kun-Mao Chao ( 趙坤茂 ) Department of Computer Science and Information Engineering National Taiwan University, Taiwan ( 台大資訊工程系.
Dynamic Programming Kun-Mao Chao ( 趙坤茂 ) Department of Computer Science and Information Engineering National Taiwan University, Taiwan
Never-ending stories Kun-Mao Chao ( 趙坤茂 ) Dept. of Computer Science and Information Engineering National Taiwan University, Taiwan
The Theory of Computation Kun-Mao Chao ( 趙坤茂 ) National Taiwan University
Trees Kun-Mao Chao ( 趙坤茂 ) Department of Computer Science and Information Engineering National Taiwan University, Taiwan
CS16: Introduction to Algorithms and Data Structures
Course Introduction 공학대학원 데이타베이스
CENG 213 Data Structures Nihan Kesim Çiçekli
Lecture 1 Introduction/Overview Text: Chapters 1, 2 Wed. 1/28/04
COMPSCI 330 Design and Analysis of Algorithms
Online Courses A note given in BCC class on May 10, 2016
Sequence Alignment Kun-Mao Chao (趙坤茂)
Introduction of ECE665 Computer Algorithms
Computer Science 102 Data Structures CSCI-UA
A note given in BCC class on March 15, 2016
Algorithms for Biological Sequence Analysis
OVERVIEW 1-st Midterm: 3 problems 2-nd Midterm 3 problems
Minimum Spanning Trees
CS 3343: Analysis of Algorithms
Shortest-Paths Trees Kun-Mao Chao (趙坤茂)
The Largest Known Prime Number
A Quick Note on Useful Algorithmic Strategies
The Theory of Computation
Introduction to Debugging Techniques in Visual C++ 6.0
Minimum Spanning Trees
Algorithm Design and Analysis
A Note on Useful Algorithmic Strategies
A p r o x i m a t n l g h s f e - u c D i s c r e t A p l d M a h m 1
ECE 780 A2 Traffic Engineering and Network Design Fall Term 2008
Building Windows Applications by Visual C++ and Homework #3 Assignment
The Theory of Computation
Multiple Sequence Alignment
Facebook’s WhatsApp Purchase
Minimum Spanning Trees
Space-Saving Strategies for Computing Δ-points
Space-Saving Strategies for Computing Δ-points
Space-Saving Strategies for Computing Δ-points
Design and Analysis of Algorithms
Space-Saving Strategies for Analyzing Biomolecular Sequences
Trees Kun-Mao Chao (趙坤茂)
Minimum Spanning Trees
Multiple Sequence Alignment
Space-Saving Strategies for Computing Δ-points
Space-Saving Strategies for Computing Δ-points
Dynamic Programming Kun-Mao Chao (趙坤茂)
Presentation transcript:

Trees Kun-Mao Chao (趙坤茂) Department of Computer Science and Information Engineering National Taiwan University, Taiwan E-mail: kmchao@csie.ntu.edu.tw WWW: http://www.csie.ntu.edu.tw/~kmchao

About this course Course: Special topics on graph algorithms We will focus on those tree-related algorithmic problems. In particular, spanning trees … Spring semester, 2004 Thursday 14:20 – 15:20, 409 CSIE Building. 3 credits Web site: http://www.csie.ntu.edu.tw/~kmchao/tree04spr

Coursework: Midterm exam (45%) Oral presentation of selected topics or papers (40%) Homework and class participation (15%)

Outlines Counting spanning trees Minimum spanning trees Shortest-paths tree Minimum routing cost spanning trees Communication spanning trees Light approximate spanning trees Steiner minimal trees Trees and diameters Other advanced topics

Our new book on spanning trees Spanning Trees and Optimization Problems, by Bang Ye Wu and Kun-Mao Chao (2004), Chapman & Hall/CRC Press, USA. Link to Amazon Link to CRC Press

Knuth’s recent talk on spanning trees Donald E. Knuth gave a lecture on spanning trees last December. (In fact, he likes to talk about trees in the Christmas season. Christmas trees …) Try it?

Spanning Trees and Optimization Problems S T O P ! Trees Optimization Problems & B.Y. Wu and K.-M. Chao CRC press, 2004 It’s available now! Bang Ye’s ppt