| 七点七边图的图分解 |
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| 引用本文： | 袁兰党,杨立保,谷丽彦,白占立. 七点七边图的图分解[J]. 河北大学学报(自然科学版), 2021, 41(4): 337. DOI: 10.3969/j.issn.1000-1565.2021.04.001 |
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| 作者姓名： | 袁兰党 杨立保 谷丽彦 白占立 |
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| 作者单位： | 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;邢台学院数学科学技术学院,河北邢台054001;河北师范大学学报编辑部,河北石家庄050024 |
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| 基金项目： | 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) |
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| 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.
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| 关 键 词： | 图分解 带洞图分解 差方法 |
| 收稿时间： | 2021-01-05 |
Graph decomposition of graphs with seven vertices and seven edges |
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| YUAN Landang,YANG Libao,GU Liyan,BAI Zhanli. Graph decomposition of graphs with seven vertices and seven edges[J]. Journal of Hebei University (Natural Science Edition), 2021, 41(4): 337. DOI: 10.3969/j.issn.1000-1565.2021.04.001 |
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| Authors: | YUAN Landang YANG Libao GU Liyan BAI Zhanli |
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| Affiliation: | 1.Hebei Mathematics Research Center, School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China; 2.School of Mathematics and Information Technology, Xingtai University, Xingtai 054001, China; 3.Editorial Department of Journal, Hebei Normal University, Shijiazhuang 050024, China |
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| Abstract: | G-decomposition of λKv 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. |
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| Keywords: | graph decomposition holy graph decomposition difference method |
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