On the critical group of the Möbius ladder graph
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 133-142 |
| Journal / Publication | Australasian Journal of Combinatorics |
| Volume | 36 |
| Publication status | Published - 2006 |
Link(s)
| Document Link | Links
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|---|---|
| Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-39549122703&origin=recordpage |
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(3e0da8a1-5cc1-44a5-851f-9f4e5e78fc30).html |
Abstract
The critical group of a connected graph is a finite abelian group whose order is the number of spanning trees and whose structure is a subtle isomorphism invariant of the graph. In this paper we study the structure of the critical group on the Möbius ladder, and we prove that the Smith normal form of the critical group is not cyclic but is always the direct sum of two or three cyclic groups.
Citation Format(s)
On the critical group of the Möbius ladder graph. / Chen, Pingge; Hou, Yaoping; Woo, Chingwah.
In: Australasian Journal of Combinatorics, Vol. 36, 2006, p. 133-142.
In: Australasian Journal of Combinatorics, Vol. 36, 2006, p. 133-142.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
