七点七边图的图分解  

Graph decomposition of graphs with seven vertices and seven edges

作　　者：袁兰党[1] 杨立保 谷丽彦[1] 白占立 YUAN Landang;YANG Libao;GU Liyan;BAI Zhanli(Hebei Mathematics Research Center,School of Mathematical Sciences,Hebei Normal University,Shijiazhuang 050024,China;School of Mathematics and Information Technology,Xingtai University,Xingtai 054001,China;Editorial Department of Journal,Hebei Normal University,Shijiazhuang 050024,China)

机构地区：[1]河北师范大学数学科学学院,河北省数学研究中心,河北石家庄050024 [2]邢台学院数学科学技术学院,河北邢台054001 [3]河北师范大学学报编辑部,河北石家庄050024

出　　处：《河北大学学报（自然科学版）》2021年第4期337-341,共5页Journal of Hebei University(Natural Science Edition)

基　　金：河北省自然科学基金资助项目(F2019205147,A2017403010);河北师范大学“六卓越一拔尖”及教学改革项目(2019XJJG048)。

摘　　要：研究了2个七点七边图的图分解,首先利用带洞图分解给出图分解存在的递归构造,然后利用差方法构造出递归构造中所需的图分解,最后给出了图分解的存在谱.G-decomposition ofλKv into graphs with seven vertices and seven edges were discussed.First,we gave a recursive structure by holy graph decomposition,and then constructed the graph decompositions wanted in recursive structure using difference method.Finally,we determined the existence spectrum of graph decomposition.

关 键 词：图分解 带洞图分解 差方法 

分 类 号：O157[理学—数学]