Albertson [3] has defined the irregularity of a simple undirected graph G = (V,E) as irr(G) = ∑ uv∈E |dG(u)− dG(v)| , where dG(u) denotes the degree of a vertex u ∈ V . Recently, this graph invariant gained interest in the chemical graph theory, where it occured in some bounds on the first and the second Zagreb index, and was named the third Zagreb index [13]. For general graphs with n vertices...

Measures of the irregularity of chemical graphs could be helpful for QSAR/QSPR studies and for the descriptive purposes of biological and chemical properties, such as melting and boiling points, toxicity and resistance. Here we consider the following four established irregularity measures: the irregularity index by Albertson, the total irregularity, the variance of vertex degrees and the Collat...

This paper concerns the assessment of railway track surface conditions in relation to degree weed infestation. The conceptually describes proposed method using a visual system analyse infestation level. use image analysis software for detection is also proposed. new measurement allows mobile track’s status. Validation real will allow further expansion shades green from RAL palette, and take int...

The irregularity of a graph G is defined as the sum of weights |d(u) − d(v)| of all edges uv of G, where d(u) and d(v) are the degrees of the vertices u and v in G, respectively. In this paper, some structural properties on trees with maximum (or minimum) irregularity among trees with given degree sequence and trees with given branching number are explored, respectively. Moreover, the correspon...

Many compelling beyond the Standard Model scenarios predict signals that result in unconventional charged particle trajectories. Signatures for which unusual tracks are most conspicuous feature of event pose significant challenges experiments at Large Hadron Collider (LHC), particularly trigger. This article presents a study track-based triggers representative set long-lived and signatures upco...

The propagation of shear waves in an anisotropic fluid saturated porous layer over a prestressed semi-infinite homogeneous elastic half-space lying under an elastic homogeneous layer with irregularity present at the interface with rigid boundary has been studied. The rectangular irregularity has been taken in the half-space. The dispersion equation for shear waves is derived by using the pertur...

The records of maintenance activities are required for modeling the track irregularity deterioration process. However, it is hard to guarantee completeness and accuracy records. To tackle this problem, an adaptive piecewise framework rail process driven by historical measurement data from comprehensive inspection train (referred as CIT) proposed. identification when occurred reformulated a mode...

Abstract Nowadays, finite element tyre models are often used to perform vehicle NVH (noise, vibration, harshness) simulations. To account for the specific operating conditions, a road surface must be properly included in model. This paper deals with methodology experimentally evaluate and process irregularity measurements, so as generate input. These surfaces simulate tyre/road interaction at f...