A Roman dominating function (RDF) on a digraph $D$ is a function $f: V(D)rightarrow {0,1,2}$ satisfying the condition that every vertex $v$ with $f(v)=0$ has an in-neighbor $u$ with $f(u)=2$. The weight of an RDF $f$ is the value $sum_{vin V(D)}f(v)$. The Roman domination number of a digraph $D$ is the minimum weight of an RDF on $D$. A set ${f_1,f_2,dots,f_d}$ of Roman dominating functions on ...

Define a Roman dominating function (RDF) of a graph G to be a function f : V (G) → {0, 1, 2} such that every u with f(u) = 0 has a neighbor v with f(v) = 2. The weight of f , w(f), is ∑ v∈V (G) f(v). The Roman domination number of G, γR(G), is the minimum weight of an RDF of G. It is easy to see that γ(G) ≤ γR(G) ≤ 2γ(G), where γ(G) is the domination number of G. In this paper, we determine pro...

KRISTINA KILLGROVE: Bioarchaeology in the Roman World. (Under the direction of Nicola Terrenato.) On account of differences in the evolution of the field of anthropology in American and Italian scholarship, the role of bioarchaeology has been nearly non-existent in the latter. Numerous scholars over the past two decades have advocated a more holistic approach to Roman archaeology, namely foster...

Most of the literary theorists and critics of classical antiquity who are still studied today – Plato, Aristotle, ‘Longinus’, and a few others – are Greeks. The Romans, who by reputation came late to literature and lacked a theoretical cast of mind, are not generally accorded a prominent place in the development of this discourse. Indeed, few surviving Roman texts address as their main topic th...

This article reflects on some of the problems inherent in the study of imperial (self)presentation. It argues that Roman emperors had to bridge the gap between the reality of emperorship and its perception by different layers of society. Augustus solved the problem by putting forward a multi-faceted imperial persona, to whom different audiences could relate differently. This plurality character...

We study the Greek and Roman mythology using the network theory. We construct a directed network by using a dictionary of Greek and Roman mythology in which the nodes represent the entries listed in the dictionary and we make directional links from an entry to other entries that appear in its explanatory part. We find that this network is clearly not a random network but a directed scale-free n...