KMS Of Academy of mathematics and systems sciences, CAS
Covering Triangles in Edge-Weighted Graphs | |
Chen, Xujin1,2; Diao, Zhuo3; Hu, Xiaodong1,2; Tang, Zhongzheng1,2,4 | |
2018-08-01 | |
发表期刊 | THEORY OF COMPUTING SYSTEMS |
ISSN | 1432-4350 |
卷号 | 62期号:6页码:1525-1552 |
摘要 | Let G = (V, E) be a simple graph and assign each edge e a E a positive integer weight w(e). A subset of E that intersects every triangle of G is called a triangle cover of (G, w), and its weight is the total weight of its edges. A collection of triangles in G (repetition allowed) is called a triangle packing of (G, w) if each edge e a E appears in at most w(e) members of the collection. Let tau (t) (G, w) and nu (t) (G, w) denote the minimum weight of a triangle cover and the maximum cardinality of a triangle packing of (G, w), respectively. Generalizing Tuza's conjecture for unit weight, Chapuy et al. conjectured that tau (t) (G, w)/nu (t) (G, w) ae |
关键词 | Triangle cover Triangle packing Linear 3-uniform hypergraphs Combinatorial algorithms |
DOI | 10.1007/s00224-018-9860-7 |
语种 | 英语 |
WOS研究方向 | Computer Science ; Mathematics |
WOS类目 | Computer Science, Theory & Methods ; Mathematics |
WOS记录号 | WOS:000434050300010 |
出版者 | SPRINGER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/30415 |
专题 | 应用数学研究所 |
通讯作者 | Diao, Zhuo |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 3.Cent Univ Finance & Econ, Sch Stat & Math, Beijing, Peoples R China 4.City Univ Hong Kong, Dept Comp Sci, Hksar, Kowlon Tong, Peoples R China |
推荐引用方式 GB/T 7714 | Chen, Xujin,Diao, Zhuo,Hu, Xiaodong,et al. Covering Triangles in Edge-Weighted Graphs[J]. THEORY OF COMPUTING SYSTEMS,2018,62(6):1525-1552. |
APA | Chen, Xujin,Diao, Zhuo,Hu, Xiaodong,&Tang, Zhongzheng.(2018).Covering Triangles in Edge-Weighted Graphs.THEORY OF COMPUTING SYSTEMS,62(6),1525-1552. |
MLA | Chen, Xujin,et al."Covering Triangles in Edge-Weighted Graphs".THEORY OF COMPUTING SYSTEMS 62.6(2018):1525-1552. |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论