For a graph G and any two vertices u and v in G, let d(u, v) denote the distance between u and v and let diam(G) be the diameter of G. A multilevel distance labeling (or radio labeling) for G is a function f that assigns to each vertex of G a positive integer such that for any two distinct vertices u and v, d(u, v)+ | f(u) − f(v) |≥ diam(G) + 1. The largest integer in the range of f is called t...

A path in an edge colored graph is said to be a rainbow path if every edge in this path is colored with the same color. The rainbow connection number of G, denoted by rc(G), is the smallest number of colors needed to color its edges, so that every pair of its vertices is connected by at least one rainbow path. A rainbow u − v geodesic in G is a rainbow path of length d(u, v), where d(u, v) is t...

The augmented eccentric connectivity index is defined as the summation of the quotients of the product of adjacent vertex degrees and eccentricity of the concerned vertex of a graph which is a generalization of eccentric connectivity index. In this paper we present explicit expressions for the values of augmented eccentric connectivity indices of some particular thorn graphs like thorn path, th...

this study performed to evaluate genetic diversity of some wild and domesticated (unknown foreign cultivars) blackberries in sanru collection based on morphological traits. results showed high diversity for flowering, ripening time and fruit juice. wild genotypes showed significant differences in leaf, flower, thorn number, fruits and seed fresh weight compared to domesticated cultivars. based ...

Date palm thorn injuries are common in Middle Eastern countries, where there are many date palm plantations. If detected, these injuries can be treated without subsequent complications. In children, however, the diagnosis can very easily be missed. An untreated embedded thorn may cause late complications, including periostitis or osteomyelitis. In this article, the author presents a case of dat...

Our experience of five children with chronic thorn synovitis indicates that removal of free thorn fragments and all the macroscopically abnormal synovium is required in order to achieve a complete cure. Four children required total synovectomy for diffuse proliferative synovitis and one needed partial synovectomy of the area immediately around the embedded thorn. Joint washouts and partial syno...

Eleven percent of an unselected series of 157 patients with pleural effusion showed a thorn-like protrusion of fluid at the lateral end of the minor fissure at some time during their illnesses. None of a series of 146 normal x-ray films of young patients showed this "thorn sign." The thorn sign is a useful radiographic finding of right-sided pleural effusion.

This paper presents a new approach to domainspecific languages creation. Instead of defining both language syntax and semantics for each case, the same general-purposed markup language Thorn is used. The original model of translation associates commands inside a Thorn document with programs written in some script language. When the compiler needs to execute a command, it launches a correspondin...

'A cairn supported at its edge by large stones may be removed .... The ring which is left looks like a stone circle.' (Thorn, 1967, 65). Professor A. Thorn has surveyed a large number of archaeological sites (Thorn, 1967; 1971). These surveys provide the basis from which he deduces the existence of the Megalithic Yard (MY), Megalithic Geometry and Megalithic Astronomy. In considering his eviden...