CHOSUN

그래프의 색칠에 관한 연구

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Author(s)
정가영
Issued Date
2010
Abstract
ABSTRACT
The study of graph coloring


Jung Ka-young
Advisor : Prof. Kang Eun-sil Ph.D.
Major in Mathematics Education
Graduate School of Education, Chosun University


The purpose of this study is to work on graph coloring which is a coloring vertices of a graph in a proper way.
In this paper, we study characteristics of chromatic number which is the minimum number of colors when coloring adjacent vertices in different colors in graph coloring and chromatic polynomial which represents the number of ways when coloring vertices in graph using the given number of colors.
And also we review the four color problem including a short summary of proof by Robertson & Sanders & Seymour & Thomas.
Alternative Title
The study of graph coloring
Alternative Author(s)
Jung Ka-Young
Department
교육대학원 수학교육
Advisor
강은실
Awarded Date
2011-02
Table Of Contents
목 차

ABSTRACT

Ⅰ. 서 론 1

Ⅱ. 그래프에 관한 기본적 개념과 성질 2

Ⅲ. 그래프의 색칠 7
1. 색채수 7
2. 색다항식 16

Ⅳ. 사색문제 23
1. 5색 24
2. 4색 29

Ⅴ.결론 36

참고문헌 37
Degree
Master
Publisher
조선대학교 교육대학원
Citation
정가영. (2010). 그래프의 색칠에 관한 연구.
Type
Dissertation
URI
https://oak.chosun.ac.kr/handle/2020.oak/15332
http://chosun.dcollection.net/common/orgView/200000241099
Appears in Collections:
Education > 3. Theses(Master)
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