On the monomer-dimer problem of some graphs
文献类型：期刊论文
| 作者 | Yan, Weigen; Yeh, Yeong-Nan |
| 刊名 | STUDIES IN APPLIED MATHEMATICS
 |
| 出版日期 | 2008-05-01 |
| 卷号 | 120期号:4页码:351-360 |
| ISSN号 | 0022-2526 |
| 英文摘要 | The pure-dimer problem was solved in exact closed form for many lattice graphs. Although some numerical solutions of the monomer-dimer problem were obtained, no exact solutions of the monomer-dimer problem were available (except in one dimension). Let G be an arbitrary graph with N vertices. Construct a new graph R(G) from G by adding a new verex e* corresponding to each edge e = (a, b) of G and by joining each new vertex e* to the vertices a and b. If the suitable activities of vertices and edges in R(G) are selected, then the monomer-dimer problem can be solved exactly for the graph R(G), which generalizes the result obtained by Yan and Yeh. As applications, if we select suitable activities for the vertices and edges of R((L) over tilde (n,d)), we obtain the exact formulae for the MD partition function, MD free energy, and MD entropy of R((L) over tilde (n,d)) for the d-dimensional lattice (L) over tilde (n,d)) with periodic boundaries. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000255517600002 |
| 出版者 | WILEY-BLACKWELL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6118]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yan, Weigen |
| 作者单位 | Jimei Univ, Sch Sci, Inst Math, Acad Sinica, Xiamen 361021, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, Weigen,Yeh, Yeong-Nan. On the monomer-dimer problem of some graphs[J]. STUDIES IN APPLIED MATHEMATICS,2008,120(4):351-360. |
| APA | Yan, Weigen,&Yeh, Yeong-Nan.(2008).On the monomer-dimer problem of some graphs.STUDIES IN APPLIED MATHEMATICS,120(4),351-360. |
| MLA | Yan, Weigen,et al."On the monomer-dimer problem of some graphs".STUDIES IN APPLIED MATHEMATICS 120.4(2008):351-360. |
入库方式： OAI收割
来源：数学与系统科学研究院
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