彩春麗，易 華

最大度較小的圖的線性著色

*彩春麗，易 華

（井岡山大學(xué)數(shù)理學(xué)院，江西，吉安 343009）

本文研究了最大度較小的圖的線性著色問(wèn)題。通過(guò)分析未著色頂點(diǎn)的鄰近頂點(diǎn)的著色情況，擴(kuò)充圖的部分線性著色，利用數(shù)學(xué)歸納法證明了△() ≤ 4的非4正則圖的線性色數(shù)有l(wèi)c() ≤ 7和△() ≤ 5的非5正則圖的線性色數(shù)有l(wèi)c() ≤ 13。

最大度；線性著色；線性色數(shù)

0 引言

1 符號(hào)說(shuō)明

2 主要結(jié)果

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LINEAR COLORING OF GRAPHS WITH SMALL MAXIMUM DEGREE

CAI Chun-li, YI Hua

(School of Mathematics and Physics, Jinggangshan University, Ji’an Jiangxi 343009, China)

maximum degree; linear coloring; linear chromatic number

O157.5

A

10.3969/j.issn.1674-8085.2020.05.002

1674-8085(2020)05-0005-05

2020-04-20；

2020-05-18

*彩春麗(1986-)，女，河南商丘人，助教，碩士，主要從事圖論及其應(yīng)用研究(Email:619662208@qq.com);

易 華(1973-)，男，湖北松滋人，講師，博士，主要從事小波分析及其應(yīng)用研究(Email:876145777@qq.com).