Let k be a positive integer, and let G be a simple graph with vertex set V (G). A k-distance Roman dominating function on G is a labeling f : V (G) → {0, 1, 2} such that for every vertex with label 0, there is a vertex with label 2 at distance at most k from each other. The weight of a k-distance Roman dominating function f is the value ω(f) = ∑ v∈V f(v). The k-distance Roman domination number ...

The establishment of a standing Roman army during the reign of Augustus resulted in an increased demand for military doctors. The knowledge about the Roman military medicine comes primarily from the excavations at the valetudinaria. Medical instruments, medicine containers and remains of medicinal plants found there indicate that the Roman army strived to provide unwell legionaries with excelle...

A signed Roman dominating function on the digraphD is a function f : V (D) −→ {−1, 1, 2} such that ∑ u∈N−[v] f(u) ≥ 1 for every v ∈ V (D), where N−[v] consists of v and all inner neighbors of v, and every vertex u ∈ V (D) for which f(u) = −1 has an inner neighbor v for which f(v) = 2. A set {f1, f2, . . . , fd} of distinct signed Roman dominating functions on D with the property that ∑d i=1 fi(...

Librarian of the National Library ofWales, and used to illustrate the lecture at Cardiff. The initial article is a scholarly account of Thomas Baskerville, Elizabethan apothecary of Exeter, by Margery Rowe and G. E. Trease. To a Welsh reviewer, another pleasing feature of the Transactions is that it has been printed by J. D. Lewis and Sons Ltd., Gomerian Press, Llandysul. They have already done...

Kobuchi-Philip, Mana. 2010. Indeterminate Numeral Quantifiers, ‘Some’ and ‘Many’ Readings, and Questions in Japanese. Korean Journal of Linguistics, 35, 503-530. The Japanese indeterminate numeral quantifier (WH-CL) can directly combine with a quantificational particle ka or mo, forming, e.g., nan-nin-ka ‘what-CLperson-KA’ or nan-nin-mo ‘what-CLperson-MO’. This paper focuses on the empirical ev...

The aim of the present study was to examine physical fitness differences between Freestyle and Greco-Roman junior wrestlers. One hundred twenty-six junior wrestlers, comprising 70 Freestyle and 56 Greco-Roman wrestlers, participated in this study. The somatic and physical fitness profile included body mass, body height, body mass index, body composition, flexibility, maximal anaerobic power of ...

A Roman dominating function (RDF) 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 an RDF f is the value f(V (G)) = ∑ u∈V (G) f(u). A function f : V (G) → {0, 1, 2} with the ordered partition (V0, V1, V2) of V (G), where Vi = {v ∈ V (G) | f(v) = i} for i = 0...

For an integer n ≥ 2, let I ⊂ {0, 1, 2, · · · , n}. A Smarandachely Roman sdominating function for an integer s, 2 ≤ s ≤ n on a graph G = (V,E) is a function f : V → {0, 1, 2, · · · , n} satisfying the condition that |f(u)− f(v)| ≥ s for each edge uv ∈ E with f(u) or f(v) ∈ I . Similarly, a Smarandachely Roman edge s-dominating function for an integer s, 2 ≤ s ≤ n on a graph G = (V,E) is a func...