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https://hdl.handle.net/1959.11/26786
Title: | 𝐻-supermagic labelings for firecrackers, banana trees and flowers | Contributor(s): | Wijaya, Rachel Wulan Nirmalasari (author); Semanicova-Fenovcikova, Andrea (author); Ryan, Joe (author); Kalinowski, Thomas (author) | Publication Date: | 2017-10 | Open Access: | Yes | Handle Link: | https://hdl.handle.net/1959.11/26786 | Open Access Link: | https://ajc.maths.uq.edu.au/pdf/69/ajc_v69_p442.pdf | Abstract: | A simple graph G = (V,E) admits an H-covering if every edge in E is contained in a subgraph H' = (V' , E' ) of G which is isomorphic to H. In this case we say that G is H-supermagic if there is a bijection f : V ∪ E → {1,..., |V | + |E|} such that f(V ) = {1,..., |V |} and ∑v∈V (H') f(v) + ∑e∈E(H') f(e) is constant over all subgraphs H' of G which are isomorphic to H. Extending results from [M. Roswitha and E.T. Baskoro, Amer. Inst. Physics Conf. Proc. 1450 (2012), 135-138], we show that the firecracker Fk,n is F2,n-supermagic, the banana tree Bk,n is Bk−1,n-supermagic and the flower Fn is C3-supermagic. | Publication Type: | Journal Article | Source of Publication: | Australasian Journal of Combinatorics, 69(3), p. 442-451 | Publisher: | Centre for Discrete Mathematics & Computing | Place of Publication: | Australia | ISSN: | 2202-3518 1034-4942 |
Fields of Research (FoR) 2008: | 010104 Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | Fields of Research (FoR) 2020: | 490404 Combinatorics and discrete mathematics (excl. physical combinatorics) | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Socio-Economic Objective (SEO) 2020: | 280118 Expanding knowledge in the mathematical sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal | Publisher/associated links: | https://ajc.maths.uq.edu.au/?page=get_volumes&volume=69 |
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Appears in Collections: | Journal Article School of Science and Technology |
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