- Title
- The number of circles of a maximum state of a plane graph with applications
- Creator
- Jin, Xian-An; Ge, Jun; Cheng, Xiao-Sheng; Lin, Yu-qing
- Relation
- Acta Mathematicae Applicatae Sinica Vol. 37, Issue 2, p. 409-420
- Publisher Link
- http://dx.doi.org/10.1007/s10255-021-1020-1
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2021
- Description
- Motivated by the connection with the genus of the corresponding link and its application on DNA polyhedral links, in this paper, we introduce a parameter smax(G), which is the maximum number of circles of states of the link diagram D(G) corresponding to a plane (positive) graph G. We show that smax(G) does not depend on the embedding of G and if G is a 4-edge-connected plane graph then smax(G) is equal to the number of faces of G, which cover the results of S. Y. Liu and H. P. Zhang as special cases.
- Subject
- plane graph; number of circles; special alternating link; genus; DNA polyhedral link
- Identifier
- http://hdl.handle.net/1959.13/1448698
- Identifier
- uon:43466
- Identifier
- ISSN:0168-9673
- Language
- eng
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