A Roman dominating function on a graph G is a function f : V (G) → {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 (G)) =

Recent articles by ReVelle [20, 21] in the Johns Hopkins Magazines suggested a new variation of domination called Roman domination, see also [22] for an integer programming formulation of the problem. Since then, there have been several articles on Roman domination and its variations [2, 3, 4, 5, 6, 11, 12, 14, 15, 16, 18, 24, 23, 25]. Emperor Constantine had the requirement that an army or leg...

comment étudier les textes romanesques français si nombreux depuis la formation définitive de la langue française au xviie siècle? c'est la question à laquelle les critiques ont essayé de répondre. pourtant, de la critique traditionnelle à celle moderne, le chercheur est confronté à une diversité vertigineuse qui ne cesse de croître. suite à la nouvelle critique rassemblant les jeunes critiques...

I F we consider that agriculture employed a majority of the population in non-industrial societies and is still man's staple occupation, we must ad-mit that the agriculture of Roman Britain has concerned archaeologists and historians much less than it should, for on its vicissitudes depended to no small degree the well-being and decline of the province. The existence of Roman 'villas' was first...

The Chinese tradition of supplementing large quantities of bronze cash with unminted gold and silver represents a rare exception to the western model of precious-metal coinage. This paper provides a detailed discussion of monetary development in ancient China followed by a brief survey of conditions in the Roman empire. The divergent development of the monetary systems of the Han and Roman empi...

Roman dominating function} on a digraph $D$ with vertex set $V(D)$ is a labeling$fcolon V(D)to {0, 1, 2}$such that every vertex with label $0$ has an in-neighbor with label $2$. A set ${f_1,f_2,ldots,f_d}$ ofRoman dominating functions on $D$ with the property that $sum_{i=1}^d f_i(v)le 2$ for each $vin V(D)$,is called a {em Roman dominating family} (of functions) on $D$....

In this study we apply an evidence-based approach to model demographic fluctuations and their corresponding impact on land use during the Roman and early-medieval periods in the Rhine-Meuse delta in the present-day Netherlands. Past population numbers are reconstructed based on Roman and early-medieval settlement patterns. Corresponding impacts of these demographic fluctuations on potential lan...

ce n’est pas si surprenant que l’on trouve dans le textile historique de l’œuvre la plus estimée de malraux, la condition humaine, les traces des instances philosophiques. ce roman dépasse le dogmatisme d’un soi-disant roman de témoignage. il s’oriente vers les catégories plus souples et moins restreintes tel que le roman philosophique, alors même que l’apparence n’en dirait pas beaucoup sur l’...

The aim of this study is to investigate the archaeological finds to enlighten the medical methods of treatments and operations applied in Balkans during Roman Period. Some independent local and regional find groups, taken from existing publications will be grouped together and a holistic point-of-view will be taken against medicine in Balkan Geography during Roman Period. Due to basic differenc...