| 书目名称 | Matrices in Combinatorics and Graph Theory | | 编辑 | Bolian Liu,Hong-Jian Lai | | 视频video | | | 丛书名称 | Network Theory and Applications | | 图书封面 |  | | 描述 | Combinatorics and Matrix Theory have a symbiotic, or mutually beneficial, relationship. This relationship is discussed in my paper The symbiotic relationship of combinatorics and matrix theoryl where I attempted to justify this description. One could say that a more detailed justification was given in my book with H. J. Ryser entitled Combinatorial Matrix Theon? where an attempt was made to give a broad picture of the use of combinatorial ideas in matrix theory and the use of matrix theory in proving theorems which, at least on the surface, are combinatorial in nature. In the book by Liu and Lai, this picture is enlarged and expanded to include recent developments and contributions of Chinese mathematicians, many of which have not been readily available to those of us who are unfamiliar with Chinese journals. Necessarily, there is some overlap with the book Combinatorial Matrix Theory. Some of the additional topics include: spectra of graphs, eulerian graph problems, Shannon capacity, generalized inverses of Boolean matrices, matrix rearrangements, and matrix completions. A topic to which many Chinese mathematicians have made substantial contributions is the combinatorial analysis | | 出版日期 | Book 2000 | | 关键词 | Matrix; Matrix Theory; algebra; calculus; combinatorics; graph theory; linear algebra | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-3165-1 | | isbn_softcover | 978-1-4419-4834-2 | | isbn_ebook | 978-1-4757-3165-1Series ISSN 1568-1696 | | issn_series | 1568-1696 | | copyright | Springer Science+Business Media Dordrecht 2000 |
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发表于 2025-3-21 16:42:16
