We construct a 1-factorization of the complement Σm of the linear Hamming code of length m = mr = 2 r − 1 in the m-cube Qm, for r ≥ 2, having the following equitable property: its component 1-factors intersect each Cayley parallel 1-factor of Qm at a constant number of edges, (namely 2r edges). In the way to that construction, we find an equitable mr−1-factorization of Σm formed by two factors ...

In this note, we give a complete solution of the existence of orthogonal generalized equitable rectangles, which was raised as an open problem in [4].

Japan’s population is aging faster than any other nation’s, producing many more older voters, and raising an important question related to intergenerational equity. Do voters prioritize their short-term self-interest at the expense of generations? I find that in Japan are surprisingly less self-interested—even similarly aged advanced economies—in maximizing benefits as service consumers detrime...

The reload cost refers to the cost that occurs along a path on an edge-colored graph when it traverses an internal vertex between two edges of different colors. Galbiati et al. [1] introduced the Minimum Reload Cost Cycle Cover problem, which is to find a set of vertex-disjoint cycles spanning all vertices with minimum reload cost. They proved that this problem is strongly NP-hard and not appro...

This chapter explores the relationship between an equitable sharing of emission abatement targets between developed and developing countries and their incentives to participate in an international agreement to control climate change. Although developing countries face a drastic increase in their emissions, environmental efforts are not ranked among their priorities. The obvious explanation is t...