H-supermagic labelings for firecrackers, banana trees and flowers

Title: H-supermagic labelings for firecrackers, banana trees and flowers
Creator: Wijaya, Rachel Wulan Nirmalasari; Semanicová-Fenovcíková, Andrea; Ryan, Joe; Kalinowski, Thomas
Relation: Australasian Journal of Combinatorics Vol. 69, Issue 3, p. 442-451
Relation: https://ajc.maths.uq.edu.au/?page=get_volumes&volume=69
Publisher: Centre for Discrete Mathematics & Computing, University of Queensland
Resource Type: journal article
Date: 2017
Description: 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 ∑_vϵV(H')f(v)+∑_vϵV(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 F_k,n is F_2,n-supermagic, the banana tree B_k,n is B_k-1,n-supermagic and the flower F_n is C₃-supermagic.
Identifier: http://hdl.handle.net/1959.13/1350062
Identifier: uon:30480
Identifier: ISSN:1034-4942
Language: eng
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