On bisections of directed graphs
文献类型：期刊论文
| 作者 | Hou, Jianfeng1; Wu, Shufei1,2; Yan, Guiying3
|
| 刊名 | EUROPEAN JOURNAL OF COMBINATORICS
 |
| 出版日期 | 2017-06-01 |
| 卷号 | 63页码:44-58 |
| ISSN号 | 0195-6698 |
| DOI | 10.1016/j.ejc.2017.02.004 |
| 英文摘要 | A bisection of a graph is a partition of its vertex set into two sets which differ in size by at most 1. In this paper, we consider bisections of directed graphs such that both directions of the directed cuts contain many arcs. Let D be a directed graph with minimum outdegree delta >= 2 and m arcs. We show that if delta is even, then D has a bisection V(D) = V-1 boolean OR V-2 such that min{e(V-1, V-2),e(V-2, V-1)} > (delta/4(delta+1) + o(1))m, where e(V-i, V-j) denotes the number of arcs of D from V-i to V-j 10 for i not equal j and i,j = 1,2. If the underlying graph of D does not contain cycles of length 4, then we show that D admits a bisection V(D) = V-1 boolean OR V-2 such that minfe(V-1, V-2), e(V-2, V-1)} >= (1/4 + o(1))m. (C) 2017 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11331003] ; National Natural Science Foundation of China[11671087] ; National Natural Science Foundation of China[11631014] ; New Century Support Program of Fujian Province[JA14028] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000402344100004 |
| 出版者 | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25575]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wu, Shufei |
| 作者单位 | 1.Fuzhou Univ, Ctr Discrete Math, Fujian 350003, Peoples R China 2.Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hou, Jianfeng,Wu, Shufei,Yan, Guiying. On bisections of directed graphs[J]. EUROPEAN JOURNAL OF COMBINATORICS,2017,63:44-58. |
| APA | Hou, Jianfeng,Wu, Shufei,&Yan, Guiying.(2017).On bisections of directed graphs.EUROPEAN JOURNAL OF COMBINATORICS,63,44-58. |
| MLA | Hou, Jianfeng,et al."On bisections of directed graphs".EUROPEAN JOURNAL OF COMBINATORICS 63(2017):44-58. |
入库方式： OAI收割
来源：数学与系统科学研究院
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