Introduction: Magnetic resonance imaging dependent polymer gel dosimetry is a technique that offers unique advantages for implementing increasingly complex radiotherapy procedures, due to the high spatial resolution and volumetric dosimetry capabilities. The technique involves the estimation of radiation dose distribution based on the changes in MR relaxation parameters caused by radiation indu...

Excessive water production through fractures become an important problem in oil exploration of fractured reservoirs. For this purpose, polymer gels were prepared by crosslinking of aqueous solutions of polymer and crosslinker for the purpose of water management in high water cut fractured reservoirs. A copolymer of sulfonated polyacrylamide was used as polymer and chromium triacetate (Cr(OA...

A (p,q) graph G is called super edge-magic if there exists a bijective function f from V (G) ∪ E(G) to {1, 2,. .. , p + q} such that f (x) + f (xy) + f (y) is a constant k for every edge xy of G and f (V (G)) = {1, 2,. .. , p}. Furthermore, the super edge-magic deficiency of a graph G is either the minimum nonnegative integer n such that G ∪ nK 1 is super edge-magic or +∞ if there exists no suc...

Z k-magic labelings of fans and wheels with magic-value zero Abstract Let A be a non-trivial abelian group and A * = A − {0}. A graph is A-magic if there exists an edge labeling using elements of A * which induces a constant vertex labeling of the graph. For fan graphs F n and wheel graphs W n , we determine the sets of numbers k ∈ N, where F n and W n have Z k-magic labelings with magic-value 0.

Fricke gel dosimetry is a valuable method for in-phantom dose measurements in complex irradiation modalities like IMRT and BNCT. Implementation of this dosimetry technique requires dedicated instruments capable of measuring and further analysis immediately in situ at the radiation facility. This work presents a novel and integral dosimetry system aimed to attain portability requirements. The me...

Let G = (V,E) be a graph of order n. A bijection f : V → {1, 2, . . . , n} is called a distance magic labeling of G if there exists a positive integer k such that ∑ u∈N(v) f(u) = k for all v ∈ V, where N(v) is the open neighborhood of v. The constant k is called the magic constant of the labeling f . Any graph which admits a distance magic labeling is called a distance magic graph. In this pape...

Abstract. For any non-trivial abelian group A under addition a graph G is said to be A-magic if there exists a labeling f : E(G) → A − {0} such that, the vertex labeling f defined as f(v) = ∑ f(uv) taken over all edges uv incident at v is a constant. An A-magic graph G is said to be Zk-magic graph if the group A is Zk, the group of integers modulo k and these graphs are referred as k-magic grap...

Abstract Fricke gel dosimeters were prepared using a matrix based on poly(vinyl-alcohol) chemical cross-linked with glutaraldehyde and loaded Xylenol Orange. The samples irradiated gamma rays to doses in the range of 5–30 Gy consequent color changes investigated by spectrophotometric colorimetric techniques. Starting from measurement transmittance spectra, an analysis was carried out considerin...