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The Smith normal form of the walk matrix of the extended Dynkin graph D˜n
- Authors
- Moon, Sunyo; Park, Seungkook
- Issue Date
- Dec-2023
- Publisher
- Elsevier Inc.
- Keywords
- Extended Dynkin graph; Smith normal form; Walk matrix
- Citation
- Linear Algebra and Its Applications, v.678, pp 169 - 190
- Pages
- 22
- Journal Title
- Linear Algebra and Its Applications
- Volume
- 678
- Start Page
- 169
- End Page
- 190
- ISSN
- 0024-3795
1873-1856
- Abstract
- In this paper, we provide an explicit formula for the rank of the walk matrix of the extended Dynkin graph D˜n. Moreover, we prove that the Smith normal form of the walk matrix of the extended Dynkin graph D˜n is [Formula presented] where [Formula presented]. © 2023 Elsevier Inc.
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