And an Equitable New Year

Determining an Equitable Allocation of New Input and Output Using Data Envelopment Analysis

In this paper, we consider the problem of demanding fixed aggregated output from producers for an equitable allocating of new input. In many applications, there is often a fixed input and output which are imposed on all decision making units. In such situations, the choice of an allocation pattern often seems to be rather subjective. This paper, presents a method for obtaining an equitable allo...

An Ore-type theorem on equitable coloring

A proper vertex coloring of a graph is equitable if the sizes of its color classes differ by at most one. In this paper, we prove that if G is a graph such that for each edge xy ∈ E(G), the sum d(x)+ d(y) of the degrees of its ends is at most 2r + 1, then G has an equitable coloring with r + 1 colors. This extends the Hajnal–Szemerédi Theorem on graphs with maximum degree r and a recent conject...

Frozen embryos: towards an equitable solution.

Toxic Christmas and New Year Holiday Plants...or Are They?

Background: Poinsettia (Euphorbia pulcherrima), holly (Ilex opaca) and mistletoe (Phoradendron flavescens) adorn homes during the Christmas and New Year holiday season and create the potential for curious children to sample their colorful leaves and enticing berries. This study was aimed to review the American Association of Poison Control Centers National Poison Data System (AAPCC NPDS) to des...

Equitable Dominating in an Intunionistic Fuzzy Graphs

Let G be an intuitionistic fuzzy graph. Let u and v be two vertices of G. A subset D of V is called a fuzzy equitable dominating set if every v ∈ V − Dthere exist a vertex u ∈ D such that uv ∈ E(G) and |deg(u) − deg(v)| = 1 where deg(u) denotes the degree of vertex u and deg(v) denotes the degree of vertex v and μ2(vi, vj ) = μ1(vi) ∧ μ1(vj ), γ2(vi, vj ) = γ1(vi) ∨ γ1(vj ). The minimum cardina...