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On Modular-$2q$ Graphic Groups Of Topological Coding For Graphic Passwords
- Source :
- 2020 IEEE International Conference on Information Technology,Big Data and Artificial Intelligence (ICIBA).
- Publication Year :
- 2020
- Publisher :
- IEEE, 2020.
-
Abstract
- Since encrypting networks wholly by graphic groups, we will define a new labelling, called modular- $2q$ mixed odd-graceful labelling, and build up various graphic groups based on the modular- $2q$ mixed odd-graceful labelling. We will show: the necessity and sufficiency of subgroup of a graphic group; a ( $p, q$ ) -graph $G$ admitting a modular- $2q$ mixed(negative) odd-graceful labelling can generate a graphic group, and moreover these graphs form an Abelian additive graphic group. A ( $p, q$ ) -graph $G$ admits a modular- $2q$ odd-graceful labelling $f$ generate $2q$ vertex-modular graphs, each of them generates $2q$ edge-modular graphs, which form an Abelian additive graphic group, similar results can be obtained for modular- $2q$ negative odd-graceful graph and modular- $2q$ mixed odd-graceful graph.
- Subjects :
- Discrete mathematics
business.industry
Group (mathematics)
Computer science
020206 networking & telecommunications
02 engineering and technology
Modular design
Encryption
Graph
0202 electrical engineering, electronic engineering, information engineering
Necessity and sufficiency
020201 artificial intelligence & image processing
Abelian group
business
Coding (social sciences)
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- 2020 IEEE International Conference on Information Technology,Big Data and Artificial Intelligence (ICIBA)
- Accession number :
- edsair.doi...........11686f54c4d2a5961cbe0afcfb846352