Factorizations of the complete graphs into factor of subdiameter two and factors of diameter three

We search for the minimal number of vertices of the complete graph that can be decomposed into one factor of subdiameter 2 and k factors of diameter 3. We find as follows: exact values for k≤3, upper and lower bounds for small values of k and [lim_{krightarrow infty }frac{phi left( kright) }{k}=2.

Total forcing number of the triangular grid

Let $T$ be a square triangular grid with $n$ rows and columns of vertices and $n$ an even number. A set of edges $Esubset E(T)$ completely determines perfect matchings on $T$ if there are no two different matchings on $T$ coinciding on $E.$ We establish the upper and the lower bound for the smallest value of $left| Eright| ,$ i.e. we show that begin{equation*} frac{5}{4}n^{2}-frac{21}{2}n+frac{41}{4}leq left| Eright| leq frac{5}{4}n^{2}+n-2 end{equation*}% and show that $left| Eright| /left| E(T)right|$ tends to $5/12$ when $n$ tends to infinity

Interferometry in the Assessment of Biomechanical Features of the Masticatory System Hard Segments

Biomechanical studies have found wide application and solved many problems in dental medicine. An interdisciplinary approach has allowed an ever-faster progress in the field. The aim of this study was to point out the advantages of holographic interferometry. With the use of this method, the study object is observed as a whole rather than as a substrate, thus providing a three-dimensional holographic image visualizing the load transmission from one jaw to another, tooth pressure against the alveolus, and strain of Sharpey\u27s fibers, and yielding precise data on deformities, dislocations and force distribution

Interferometry in the Assessment of Biomechanical Features of the Masticatory System Hard Segments

Biomechanical studies have found wide application and solved many problems in dental medicine. An interdisciplinary approach has allowed an ever-faster progress in the field. The aim of this study was to point out the advantages of holographic interferometry. With the use of this method, the study object is observed as a whole rather than as a substrate, thus providing a three-dimensional holographic image visualizing the load transmission from one jaw to another, tooth pressure against the alveolus, and strain of Sharpey\u27s fibers, and yielding precise data on deformities, dislocations and force distribution

Improving emerging European NMIs’ capabilities in humidity measurement

The control and measurement of humidity is important for many industrial applications and to ensure the appropriate storage of materials and products. Humidity measurement techniques are diverse and each presents different challenges for use and calibration for a range of pressures and gases. Over the past few years, the development of humidity sensors and apparatus has matured to a level where traceable calibration is beneficial to all industries in which humidity and moisture measurement and control are important. This paper deals with a European project in which the overall objective is to develop or extend the measurement and research capabilities of the participating emerging NMI/DIs’ countries in the field of humidity measurements, where access to these types of facilities is currently limited

Information Indices with High Discriminative Power for Graphs

In this paper, we evaluate the uniqueness of several information-theoretic measures for graphs based on so-called information functionals and compare the results with other information indices and non-information-theoretic measures such as the well-known Balaban index. We show that, by employing an information functional based on degree-degree associations, the resulting information index outperforms the Balaban index tremendously. These results have been obtained by using nearly 12 million exhaustively generated, non-isomorphic and unweighted graphs. Also, we obtain deeper insights on these and other topological descriptors when exploring their uniqueness by using exhaustively generated sets of alkane trees representing connected and acyclic graphs in which the degree of a vertex is at most four

Pulmonary sequestration mimicring lun cancer: A case report

Introduction. Pulmonary sequestration is a rare congenital anomaly and most intralobar sequestrations were located in lower lobes. Case report. We reported an unusual 28-yearold female patient with intralobar pulmonary sequestration on the left lower lobe, successfully treated with lobectomy. Computed tomography (CT) of the chest with intravenous contrast revealed multiple clustered cystic lesions in the left lower lobe with aberrant artery from descedenting aorta. Additional aortography showed an aberrant artery (3 mm in diameter) arising from the abdominal aorta and flowing into the lesion. Conclusion. Standard therapy regimen for pulmonary sequestration includes surgery. CT scan of thorax with intravenous contrast and aortography represent the gold standard for its diagnosis. Tumor-like shadows seen on the chest radiography or CT scans should not be always suspected on malignant lesions