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...