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A distance magic labeling of a graph G = (V,E) with |V | = n is a bijection ℓ from V to the set {1, . . . , n} such that the weight w(x) = ∑y∈NG(x) ℓ(y) of every vertex x ∈ V is equal to the same element μ, called the magic constant. In this paper, we study unions of distance magic graphs as well as some properties of such graphs.

Objectives: This review intends to provide an overview of revealed preferences of decision-makers for recommendations of cancer drugs in health technology assessment (HTA) among the different agencies. Methods: A systematic literature search was performed in MEDLINE and EMBASE databases from inception to July 2020. The studies were eligible for inclusion if they conducted a quantitative analysis of HTA's previous decisions for cancer drugs. The factors with p -values below the significance level of.05 were considered as the statistically significant factors for HTA decisions. Results: A total of nine studies for six agencies in Australia, Belgium, France, South Korea, the UK, and Canada were eligible to be included. From the univariable analysis, improvements in clinical outcomes and cost-effectiveness were found as significant factors for the agencies in Belgium, South Korea, and Canada. From the multivariable analysis, cost-effectiveness was found as a positive factor for the agencies in the UK, South Korea, and Canada. Few factors related to characteristics of disease and technology were found to be significant among the included agencies. Conclusions: Despite the different drug reimbursement systems and the socioeconomic situations, cost-effectiveness and/or improvement on clinical outcomes seemed to be the most important factors for recommendations of cancer drugs among the agencies. [ABSTRACT FROM AUTHOR]