課程大綱及進度表
開課系所
數學二開課學年
100開課學期
2課程名稱(中文)
組合及圖論課程名稱(英文)
COMBINATIONS AND GRAPHS課程碼
C134200分班碼
先修科目或先備能力
學分數
3開課教師
江中宙電話
65124Office Hours
By Appointment課程概述 The goal of this course is to introduce basic knowledge on graph theory and develop facility at combinatorial reasoning, which are the bases for analyzing a wide of problems in computer science and discrete applied mathematics.
教學目標
授課課程大綱明細
Fundamental Concepts Graph Models
i. Paths, Cycles and Trails ii. Vertex Degrees and Counting
iii. Isomorphism
Directed Graphs
Trees and Distance
Basic Properties
Spanning Trees and Enumeration
Optimization and Trees
Matchings and Factors
Matchings and Covers
Algorithms and Applications
Matchings in General Graphs
Connectivity and Paths
Cuts and Connectivity
k-connected Graphs
Network Flow Problems
Coloring of Graphs Planar Graphs
Embeddings and Euler’s Formula
Characterization of Planar Graphs
Parameters of Planarity
參考書目
Introduction to Graph Theory 2th edition by Douglas B. West課程要求
評量方式 期中(40%)
期末(40%)