https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:44976 G, an edge labeling f_e : E(G) → {1, 2, . . . , k_e} and a vertex labeling f_v : V(G) → {0, 2, 4, . . . , 2k_v} are called total k-labeling, where k = max{k_e, 2k_v}. The total k-labeling is called an edge irregular reflexive k-labeling of the graph G, if for every two different edges xy and x′ y′ of G, one has wt(xy) = f_v(x) + f_e(xy) + f_v(y) ̸= wt(x′ y′) = f_v(x′) + f_e(x′ y′) + f_v(y′). The minimum k for which the graph G has an edge irregular reflexive k-labeling is called the reflexive edge strength of G. In this paper we determine the exact value of the reflexive edge strength for cycles, Cartesian product of two cycles and for join graphs of the path and cycle with 2K₂.]]> Wed 26 Oct 2022 08:53:34 AEDT ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:30480 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.]]> Wed 11 Apr 2018 14:06:23 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:45866 Mon 07 Nov 2022 15:55:14 AEDT ]]>