A subset X of edges of a graph G is called an edge dominating set of G if every edge not in X is adjacent to some edge in X . The edge domination number γ′(G) of G is the minimum cardinality taken over all edge dominating sets of G. An edge Roman dominating function of a graph G is a function f : E(G) → {0, 1, 2} such that every edge e with f(e) = 0 is adjacent to some edge e′ with f(e′) = 2. T...

A Roman dominating function on a graph G = (V, E) is a function f : V → {0, 1, 2} satisfying the condition that every vertex u for which f(u) = 0 is adjacent to at least one vertex v for which f(v) = 2. The weight of a Roman dominating function is the value f(V ) = ∑ u∈V f(u). The minimum weight of a Roman dominating function on a graph G is called the Roman domination number of G. In this pape...

The purpose of this study was to compare the epidemiology of freestyle and Greco-Roman wrestling injuries sustained during a 2006 United States (US) national tournament. A prospective injury surveillance study was conducted at the US 2006 ASICS/Vaughan Cadet and Junior National Championships. There were 83 freestyle- and 55 Greco-Roman-related injuries sustained, with the rate of injury per 100...

a roman dominating function (rdf) on a graph g = (v,e) is defined to be a function satisfying the condition that every vertex u for which f(u) = 0 is adjacent to at least one vertex v for which f(v) = 2. a set s v is a restrained dominating set if every vertex not in s is adjacent to a vertex in s and to a vertex in . we define a restrained roman dominating function on a graph g = (v,e) to be ...

Roman coins play an important role to understand the Roman empire because they convey rich information about key historical events of the time. The ancient Roman coins were widely used to announce the achievements of Roman emperors to the public. They also served to spread messages of changing policies or merits through the empire. By engraving portraits on the coins, the Roman emperors also co...

Phallic iconography is ubiquitous throughout the archaeology of the Roman world and has raised questions about sexuality in ancient Rome. Dominant modern Western discourses privilege heterosexual male frameworks which many not adequately correspond to ancient Roman culture. Thus, the application of Feminist and/or Queer theory may expand academic insight into not only Roman sexuality, but also ...

Roman remains: Extensive ruins such as those of the Roman colony of Thamugadi (Timgad) in modern-day Algeria remind us that civilisations can and do collapse. (Photo: Wikimedia Commons/PhR61.) In 100 AD, the Roman emperor Trajan founded a new colony in Northern Africa, which he called colonia Marciana Traiana Thamugadi or Thamugadi for short. Planned to cover a surface of 12 hectares with its s...

This paper describes an ongoing project to digitally record, reconstruct and repaint a 2000-year-old painted Roman statue from Herculaneum, Italy. The paper considers the archaeological potential for extremely detailed laser scanning and digital recreation of Roman statuary, and visualisation within a physically accurate context. It focuses on the archaeological significance of the emerging tec...