How do excellent companies stay excellent?

Roman domination excellent graphs: trees

A Roman dominating function (RDF) on a graph $G = (V, E)$ is a labeling $f : V rightarrow {0, 1, 2}$ suchthat every vertex with label $0$ has a neighbor with label $2$. The weight of $f$ is the value $f(V) = Sigma_{vin V} f(v)$The Roman domination number, $gamma_R(G)$, of $G$ is theminimum weight of an RDF on $G$.An RDF of minimum weight is called a $gamma_R$-function.A graph G is said to be $g...

A More Excellent Way

On quasiminimal excellent classes

A careful exposition of Zilber’s quasiminimal excellent classes and their categoricity is given, leading to two new results: the Lω1,ω(Q)definability assumption may be dropped, and each class is determined by its model of dimension א0. Boris Zilber developed quasiminimal excellent classes in [Zil05], in order to prove that his conjectural description of complex exponentiation was categorical. T...

Excellent enteric explorers.

As if following the natural course of an ingested particle, several structures in the gastrointestinal tract which were named after their discoverers are presented including concise backgrounds of these pioneers of the human intestines.

Excellent Algebraic Groups I

The notion of an excellent quadratic form has been introduced by M. Knebusch 10, 11]. It has an obvious analogue for a semisimple linear algebraic group G over an arbitrary eld k: the group G is excellent if, for any eld extension K of k, the anisotropic kernel of the K-group G k K can be deened by a k-group. The aim of this paper is to investigate excellence properties of special linear and or...