ON LINEAR VERTEX-ARBORICITY OF COMPLEMENTARY GRAPHS | |
ALAVI, Y; LIU, JQ; WANG, JF | |
刊名 | JOURNAL OF GRAPH THEORY |
1994-05-01 | |
卷号 | 18期号:3页码:315-322 |
ISSN号 | 0364-9024 |
英文摘要 | The linear vertex-arboricity rho'(G) of a graph G is defined to be the minimum number of subsets into which the vertex set of G can be partitioned such that each subset induces a linear forest. In this paper, we give the sharp upper and lower bounds for the sum and product of linear vertex-arboricities of a graph and its complement. Specifically, we prove that for any graph G of order p, rho'(G) + rho'(GBAR) less-than-or-equal-to 1 + [(p + 1)/2], rho'(G) . rho'(GBAR) less-than-or-equal-to [([(p + 3)/2]/2)2], and for any graph G of order p = (2n + 1)2, where n is-an-element-of Z+, 2n + 2 less-than-or-equal-to rho'(G) + rho'(GBAR). (C) 1994 John Wiley & Sons, Inc. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | JOHN WILEY & SONS INC |
WOS记录号 | WOS:A1994NF54200008 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/28223] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | ALAVI, Y |
作者单位 | CHINESE ACAD SCI,INST APPL MATH,BEIJING,PEOPLES R CHINA |
推荐引用方式 GB/T 7714 | ALAVI, Y,LIU, JQ,WANG, JF. ON LINEAR VERTEX-ARBORICITY OF COMPLEMENTARY GRAPHS[J]. JOURNAL OF GRAPH THEORY,1994,18(3):315-322. |
APA | ALAVI, Y,LIU, JQ,&WANG, JF.(1994).ON LINEAR VERTEX-ARBORICITY OF COMPLEMENTARY GRAPHS.JOURNAL OF GRAPH THEORY,18(3),315-322. |
MLA | ALAVI, Y,et al."ON LINEAR VERTEX-ARBORICITY OF COMPLEMENTARY GRAPHS".JOURNAL OF GRAPH THEORY 18.3(1994):315-322. |
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