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关于仙人掌图的拉谱拉斯系数
引用本文:宋天梅,孙伟玲,谭尚旺,郭继明.关于仙人掌图的拉谱拉斯系数[J].广西科学,2012,19(3):224-229.
作者姓名:宋天梅  孙伟玲  谭尚旺  郭继明
作者单位:中国石油大学理学院,山东青岛266555
摘    要:应用图的一些变换,在给定阶、圈数和匹配数以及给定阶和圈数的所有仙人掌图中确定了拉普拉斯系数最小的图,同时确定了给定阶、圈数和匹配数的仙人掌图中Laplcian-like能量最小的图.

关 键 词:拉普拉斯系数  Laplcian-like能量    单圈图  仙人掌  匹配
收稿时间:2012/3/29 0:00:00

On the Laplacian Coefficients of Cacti Graphs
SONG Tian-mei,SUN Wei-ling,TAN Shang-wang and GUO Ji-ming.On the Laplacian Coefficients of Cacti Graphs[J].Guangxi Sciences,2012,19(3):224-229.
Authors:SONG Tian-mei  SUN Wei-ling  TAN Shang-wang and GUO Ji-ming
Institution:(College of Science in China University of Petroleum, Qingdao, Shandong, 2 6 6 5 5 5, China)
Abstract:By using some cian coefficients ck were transforms of graphs, the determined among all cac graphs ltaneously minimizing Laplati graphs with given order,cycle number and matching number. Also,the graphs simultaneously minimizing all Laplacian coefficients ck were characterized among all cacti graphs with fixed order and cycle numbe. Moreove, some graphs with extremal Laplacian-like energy were identified among all cacti graphs.
Keywords:Laplacian coefficient  Laplacian-like energy  tree  unicyclie graph  cactus  matching
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