| | |
| | |
Stat |
Members: 3643 Articles: 2'488'730 Articles rated: 2609
29 March 2024 |
|
| | | |
|
Article overview
| |
|
Characterizations of Eulerian and even-face partial duals of ribbon graphs | Qingying Deng
; Xian'an Jin
; | Date: |
8 Jun 2017 | Abstract: | Huggett and Moffatt characterized all bipartite partial duals of a plane
graph in terms of all-crossing directions of its medial graph. Then Metsidik
and Jin characterized all Eulerian partial duals of a plane graph in terms of
semi-crossing directions of its medial graph. Plane graphs are ribbon graphs
with genus 0. In this paper, we shall first extend Huggett and Moffatt’s result
to any orientable ribbon graph and provide an example to show that it is not
true for non-orientable ribbon graphs. Then we characterize all Eulerian
partial duals of any ribbon graph in terms of crossing-total directions of its
medial graph, which are much more simple than semi-crossing directions. | Source: | arXiv, 1706.3831 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |