Given a graph $G=(V,E)$ and a vertex $v in V$, by $N(v)$ we represent the open neighbourhood of $v$. Let $f:Vrightarrow {0,1,2}$ be a function on $G$. The weight of $f$ is $omega(f)=sum_{vin V}f(v)$ and let $V_i={vin V colon f(v)=i}$, for $i=0,1,2$. The function $f$ is said to bebegin{itemize}item a Roman ${2}$-dominating function, if for every vertex $vin V_0$, $sum_{uin N(v)}f(u)geq 2$. The R...

A Roman dominating function (RDF) on a graph $G$ is a function $f : V (G) to {0, 1, 2}$satisfying the condition that every vertex $u$ for which $f(u) = 0$ is adjacent to at least onevertex $v$ for which $f(v) = 2$. A Roman dominating function $f$ is called an outer-independentRoman dominating function (OIRDF) on $G$ if the set ${vin Vmid f(v)=0}$ is independent.The (outer-independent) Roman dom...

Convincing a customer is always considered as a challenging task in every business. But when it comes to online business, this task becomes even more difficult. Online retailers try everything possible to gain the trust of the customer. One of the solutions is to provide an area for existing users to leave their comments. This service can effectively develop the trust of the customer however no...

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 n...

Ronan Crépin, David Gentien, Angeline Duché, Audrey Rapinat, Cecile Reyes, Fariba Némati, Gérald Massonnet, Didier Decaudin, Selma Djender, Sandrine Moutel, Klervi Desrumeaux, Nathalie Cassoux, Sophie Piperno-Neumann, Sebastian Amigorena, Franck Perez, Sergio Roman Roman, Ario de Marco (2017 Feb 1) Nanobodies against surface biomarkers enable the analysis of tumor genetic heterogeneity in uveal...

Information is stored and exchanged in the form of streams of characters from some alphabet. An alphabet is a finite set of symbols, such as the lower-case Roman alphabet {a,b,c,...,z}. Larger digits may be formed by including the upper-case Roman letters, punctuation marks, the digits 0 through 9, and possibly other symbols such as ‘$’, ‘%’, etc. In the other extreme, we may choose the simples...

NULL is a block cipher the origins of which appear to be lost in antiquity. Despite rumors that the National Security Agency suppressed publication of this algorithm, there is no evidence of such action on their part. Rather, recent archaeological evidence suggests that the NULL algorithm was developed in Roman times, as an exportable alternative to Ceaser ciphers. However, because Roman numera...

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The Roman Empire of the second century was a superpower that, in relative terms, dominated its world as much as the United States does today. In 166 AD, a plague broke out od pandemic proportions. The pandemic ravaged the entire extent of the Roman Empire, from its eastern frontiers in Iraq to its western frontiers on the Rhine River and Gaul, modern France, and western Germany. The disease is ...