A new formulation of Randić index is carried out as a minimization of a quadratic form which involves the Laplacian matrix of a graph. Using this formulation it is easy to realize that Randić index is useful in defining a new index of irregularity, which is then formulated here. A new context for the study of irregularity of graphs is advanced as a necessity for studying complex (biological) ne...

In this paper, we study the total edge irregularity strength of some well known graphs. An edge irregular total k-labeling φ : V ∪E → {1, 2, . . . , k} of a graph G = (V,E) is a labeling of vertices and edges of G in such a way that for any different edges xy and x′y′ their weights are distinct. The total edge irregularity strength tes(G) is defined as the minimum k for which G has an edge irre...

The molecular topology and the chemical structures which are not regular perform a dominant character in designing compound connection with their physical properties. study of topological descriptors is widely used field cheminformatics, information technology, biomedical science, many more. Numerous indices have been evolved theory chemistry. Graphs can be specified using irregular measures. I...

The propagation of surface waves in a fluid- saturated porous isotropic layer over a semi-infinite homogeneous elastic medium with an irregularity for free and rigid interfaces have been studied. The rectangular irregularity has been taken in the half-space. The dispersion equation for Love waves is derived by simple mathematical techniques followed by Fourier transformations.  It can be seen t...

The irregularity of skin lesion borders is a significant diagnostic factor when assessing a lesion for malignancy. A ranking experiment involving irregularity assessment showed poor average ranking correlation among 20 experienced clinicians (r=0.44). However, for 50% of the group correlation was high (r=0.81), indicating high degree of consensus. A quantitative measure of irregularity based on...

OBJECTIVE To estimate the prevalence of the female athlete triad (disordered eating, menstrual irregularity, and low bone mass) among high school athletes. DESIGN Observational cross-sectional study. SETTING High school. PARTICIPANTS Female athletes (n= 170) representing 8 sports were recruited from 6 high schools in southern California. MAIN OUTCOME MEASURES Disordered eating and menst...

the total irregularity of a graph g is defined as 〖irr〗_t (g)=1/2 ∑_(u,v∈v(g))▒〖|d_u-d_v |〗, where d_u denotes the degree of a vertex u∈v(g). in this paper by using the gini index, we obtain the ordering of the total irregularity index for some classes of connected graphs, with the same number of vertices.

PURPOSE To investigate the efficacy of Technolas 217Z eye tracking system (torsional component) in corneal surface irregularity and high order aberrations (HOAs) after photorefractive keratectomy. METHODS Patients with compound myopic astigmatism among persons demanding refractive surgery in Khatam-al-Anbia Eye Hospital with the mean age of 29 years were enrolled in this double-blind randomiz...

Crowding whether primary or secondary is one of the main reasons for seeking orthodontic treatment. Incisor irregularity is an easy and excellent indicator of the severity of crowding. Assessment of incisor irregularity on photocopied images can prove to be a good mean as an alternate to the conventional method of assessment on dental casts. In this study a sample of 58 dental casts were select...