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| 图论中新的树-域表示和Dirac开方法的推广 | |
| 引用本文： | 张一方. 图论中新的树-域表示和Dirac开方法的推广[J]. 吉首大学学报(自然科学版), 2012, 33(5): 46-50. DOI: 10.3969/j.issn.1007-2985.2012.05.012 |
| 作者姓名： | 张一方 |
| 作者单位： | (云南大学物理系，云南 昆明 650091) |
| 基金项目： | 国家自然科学基金资助项目(10664006) |
| 摘 要： | 首先，阐述图论中树被推广为新的树-域表示，其包含树和域2部分，且域是众多小树的集合，其二者可以互相转化，是简单性(树)和复杂性(域)的统一，可以用于分析科学、政治、经济、哲学、历史等各方面的复杂系统.进而推广它到整个图论G=(V,E,F)，域F是小图的集合.其次，探讨物理理论积分形式的统一和Dirac开方法推广到任意项A2=B2+C2+D2+…开方为A=αB+βC+γD+…，其中α2=β2=γ2=…=1.最后，探索一般的复杂性. |
| 关 键 词： | 图论 树 域 应用 开方法 积分 复杂性 |
New Tree-Field Representations in Graph Theory and Extension of Dirac Extraction |
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| ZHANG Yi-fang. New Tree-Field Representations in Graph Theory and Extension of Dirac Extraction[J]. Journal of Jishou University(Natural Science Edition), 2012, 33(5): 46-50. DOI: 10.3969/j.issn.1007-2985.2012.05.012 | |
| Authors: | ZHANG Yi-fang |
| Affiliation: | (Department of Physics,Yunnan University,Kunming 650091,China) |
| Abstract: | The tree in the graph theory is extended to a new tree-field representation.It includes two parts:tree and field.A field is a set of legion small trees.There can be transformation between tree and field,which is a unification of simplicity (tree) and complexity (field),and may be applied to various complex systems on science,politics,economy,philosophy,history and so on.Further more,it may be extended to the whole graph theory G=(V,E,F),where F is a set of small graphs.Next,it is researched that the integral representations in physical theories are unified and the Dirac extraction is extended to any terms A2=B2+C2+D2+… whose extraction should be A=αB+βC+γD+… and α2=β2=γ2=…=1,etc.Finally,the general complexity is searched. |
| Keywords: | graph theory tree field application extraction integral complexity |
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