For a graph property P and a graph G, a subset S of the vertices of G is a P-set if the subgraph induced by S has the property P. A P-Roman dominating function on a graph G is a labeling f : V (G) → {0, 1, 2} such that every vertex with label 0 has a neighbor with label 2 and the set of all vertices with label 1 or 2 is a P-set. The P-Roman domination number γPR(G) of G is the minimum of Σv∈V (...

The Romans were perhaps the most impressive exponents of water resource management in preindustrial times with irrigation and virtual water trade facilitating unprecedented urbanization and socioeconomic stability for hundreds of years in a region of highly variable climate. To understand Roman water resource management in response to urbanization and climate variability, a Virtual Water Networ...

A geometrical analysis of the meander decorative patterns on a Roman pavement mosaic found at the Roman villa in Chedworth, England, is presented. The analysis reveals that the intricate swastika meander pattern consisting of four closed curves could have been easily constructed using a very simple hypothesized algorithm. The algorithm also explains the design of Roman swastika meanders found t...

Roman seals associated with collyria (Latin expression for eye drops/washes and lotions for eye maintenance) provide valuable information about eye care in the antiquity. These small, usually stone-made pieces bore engravings with the names of eye doctors and also the collyria used to treat an eye disease. The collyria seals have been found all over the Roman empire and Celtic territories in pa...

background trauma is an inescapable part of sports competitions. it occurs more frequently in contact sports such as wrestling. objectives the purpose of this study was to determine the frequency of injury in greco-roman style wrestling competitions at national level. patients and methods this descriptive epidemiological research included 50 greco-roman style wrestlers who participated in natio...

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...