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...

In this new book, Richard Hingley, a prominent scholar of Roman imperialism, offers an extended discussion of the nature of cultural change in the Roman world, with a particular focus on the age of Augustus. Hingley, an archaeologist who acknowledges his indebtedness to postmodern theory throughout his work, in part aims to connect the kindred topics of Romanization and Roman imperialism to the...

The complementary prism GG of a graph G is formed from the disjoint union of G and its complement G by adding the edges of a perfect matching between the corresponding vertices of G and G. A Roman dominating function on a graph G = (V,E) is a labeling f : V (G) → {0, 1, 2} such that every vertex with label 0 is adjacent to a vertex with label 2. The Roman domination number γR(G) ofG is the mini...

Changes in foodways were an object of literary reflection on the Roman past in the early empire. They offered a rich set of ingredients with which to characterize social, economie, and cultural change. Varro is prominent in attesting and shaping this tradition, but it is an older, and more broadly based means of narrating Roman social history. Varro developed this material in his treatise, On t...