An Am-Supermagic Decomposition Of The Cartesian Product of A Sun Graph And A Path

DOI

10.2991/icm2e-18.2018.80How to use a DOI?

Keywords

Cartesian product, decompositions, path, supermagic decompositions, sun graph

Abstract

In this paper, we defined m be a positive integer, graph Am is a graph where V(Am) = {vi,vi,vi|i = 0,1,...,m} and E(Am)= vivi+1,vivi+1| i = 0,1,...,m-1}∪{ϖιϖι,ϖιϖι|ι = 0,1, .., μ}. Λετ ν βε αν ιντεγερ ατ λεαστ 3, α συν γραπη Σν ισ α γραπη ωηερε ς(Σν) = {ϖϕ,ϖϕ| ϕ = 0,1, ..., ν−1} ανδ Ε(Σν) = {ϖϕϖϕ+1(μοδν), ϖϕϖϕ|ϕ = 0,1,..., ν−1}. Α πατ Πμ ισ α γραπη ωηοσε ϖερτιχεσ χαν βε λαβελεδ ϖο,ϖ1, ..., ϖμ συχη τηατ Ε (Πμ) = {ϖ0ϖ1, ϖ1ϖ2, ..., ϖμ−1ϖμ}. Ιν τηισ παπερ ωε σηοω τηατ τηε Χαρτεσιαν προδυχτ οφ α συν γραπη ανδ α πατη, ηασ αν Αμ− συπερμαγιχ δεχομποσιτιον.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Antik Estika Hader
AU  - M. Salman. A. N
PY  - 2018/12
DA  - 2018/12
TI  - An Am-Supermagic Decomposition Of The Cartesian Product of A Sun Graph And A Path
BT  - Proceedings of the 2nd International Conference on Mathematics and Mathematics Education 2018 (ICM2E 2018)
PB  - Atlantis Press
SP  - 349
EP  - 351
SN  - 2352-5398
UR  - https://doi.org/10.2991/icm2e-18.2018.80
DO  - 10.2991/icm2e-18.2018.80
ID  - Hader2018/12
ER  -