Graph Colorings and Labelings Having Multiple Restrictive Conditions in Topological Coding

Xiaohui Zhang, Chengfu Ye, Shumin Zhang and Bing Yao
Additional contact information
Xiaohui Zhang: School of Computer, Qinghai Normal University, Xining 810001, China
Chengfu Ye: School of Mathmatics and Statistics, Qinghai Normal University, Xining 810001, China
Shumin Zhang: School of Mathmatics and Statistics, Qinghai Normal University, Xining 810001, China
Bing Yao: College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Mathematics, 2022, vol. 10, issue 9, 1-9

Abstract: With the fast development of networks, one has to focus on the security of information running in real networks. A technology that might be able to resist attacks equipped with AI techniques and quantum computers is the so-called topological graphic password of topological coding. In order to further study topological coding, we use the multiple constraints of graph colorings and labelings to propose 6C-labeling, 6C-complementary labeling, and its reciprocal-inverse labeling, since they can be applied to build up topological coding. We show some connections between 6C-labeling and other graph labelings/colorings and show graphs admitting twin-type 6C-labelings, as well as the construction of graphs admitting twin-type 6C-labelings.

Keywords: topological authentication; coloring; 6C-labeling; reciprocal-inverse matching; topological coding (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/9/1592/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/9/1592/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:9:p:1592-:d:810779

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().