A linear algorithm to find the maximum-weighted matching in halin graphs

被引：0
|
作者：
Lu, Yunting [1 ]
Li, Yueping [1 ]
Lou, Dingjun [1 ]
机构：
[1] Sun Yat Sen Univ, Dept Comp Sci, Guangzhou 510275, Guangdong, Peoples R China
来源：
IMECS 2007: INTERNATIONAL MULTICONFERENCE OF ENGINEERS AND COMPUTER SCIENTISTS, VOLS I AND II | 2007年
关键词：
maximum-weighted; matching; Halin graph; algorithm;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Finding a matching with the maximum total weight is the wellkonwn assignment problem of assigning people to jobs and maximize the profits. In this paper, we focus on finding the maximum-weighted matching in Halin graphs. First, we review the method of "shrinking fan". Second, we show how to use the method in finding the maximum-weighted matching in Hatin graphs and then a linear algorithm is designed to solve this problem. Finally, it is shown that the algorithm can be easily extended to solve many relative problems.
引用
收藏
页码：2274 / +
页数：2
相关论文
共 50 条
  • [31] A Weighted Maximum Matching Algorithm for Influence Maximization and Structural Controllability
    Sartor, Giorgio
    Chia, Yeow Khiang
    Wynter, Laura
    Ruths, Justin
    IFAC PAPERSONLINE, 2017, 50 (01): : 14447 - 14453
  • [32] A bio-inspired algorithm for maximum matching in bipartite graphs
    Qi, Chunxia
    Diao, Jiandong
    IAENG International Journal of Computer Science, 2020, 47 (01) : 56 - 60
  • [33] Iterative message passing algorithm for bipartite maximum weighted matching
    Cheng, Yuan-sheng
    Neely, Michael
    Chugg, Keith M.
    2006 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1-6, PROCEEDINGS, 2006, : 1934 - +
  • [34] The maximum fuzzy weighted matching models and hybrid genetic algorithm
    Liu, Linzhong
    Li, Yinzhen
    Yang, Lixing
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (01) : 662 - 674
  • [35] An efficient parallel algorithm for maximum matching for some classes of graphs
    Parfenoff, I
    JOURNAL OF PARALLEL AND DISTRIBUTED COMPUTING, 1998, 52 (01) : 96 - 108
  • [36] Graphs Isomorphic to Their Maximum Matching Graphs
    Yan LIUSchool of Mathematics
    ActaMathematicaSinica(EnglishSeries), 2009, 25 (09) : 1507 - 1516
  • [37] Graphs isomorphic to their maximum matching graphs
    Liu, Yan
    Yan, Gui Ying
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2009, 25 (09) : 1507 - 1516
  • [38] Graphs isomorphic to their maximum matching graphs
    Yan Liu
    Gui Ying Yan
    Acta Mathematica Sinica, English Series, 2009, 25 : 1507 - 1516
  • [39] Maximum additively weighted Harary index of graphs with given connectivity or matching number
    Liu, Saihua
    Ou, Jianping
    Lin, Youchuang
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2014, 52 (09): : 153 - 157
  • [40] The graphs with maximum induced matching and maximum matching the same size
    Cameron, K
    Walker, T
    DISCRETE MATHEMATICS, 2005, 299 (1-3) : 49 - 55
12345