For a simple graph G = (V,E) with the vertex set V and the edge set E , a vertex irregular total k -labeling f : V ∪E → {1, 2, . . . , k} is a labeling ∗ Also at Department of Mathematics, Faculty of Mathematics and Sciences, University of Gadjah Mada, Yogyakarta, Indonesia. D. INDRIATI ET AL. /AUSTRALAS. J. COMBIN. 65 (1) (2016), 14–26 15 of vertices and edges of G in such a way that for any t...

The aim of this paper is to evaluate the evolution of irregularity and variability of airflow (AF) signals as sleep apnoea-hypopnoea syndrome (SAHS) severity increases in children. We analyzed 501 AF recordings from children 6.2 ± 3.4 years old. The respiratory rate variability (RRV) signal, which is obtained from AF, was also estimated. The proposed methodology consisted of three phases: (i) e...

Oral appliances (OAs) represent a widespread treatment modality for patients with mild to moderate obstructive sleep apnea (OSA). OAs exist in many designs, but it is unknown if there are differences in terms of side effects between the various types. The aim of this pilot study was therefore to evaluate two OA designs, one rigid type of appliance (OAR) and a more flexible one (OAF) regarding i...

The purpose of this study involving a sample of children with single central incisor crossbite was to determine the relationship between clinical crown lengths of the crossbite and noncrossbite mandibular incisors, incisor irregularity, and orthodontic correction of the crossbite. In addition, for comparison, the normal maturational change in position of the labial gingival margin of mandibular...

introduction: a study model is a precise three dimensional replica of patient’s dentition and plays an important role in treatment planning. many digital multi-media applications have become available to the clinician and his or her staff to facilitate standard procedures in practice and management. the aim of this study is to evaluate reliability and validity of dental measurement made on digi...

BACKGROUND Even if atrial fibrillatory rate (AFR) has been related to clinical outcome in patients with atrial fibrillation (AF), its relation with ventricular response has not been deeply studied. The aim of this study was to investigate the relation between AFR and RR series variability in patients with AF. METHODS Twenty-minute electrocardiograms in orthogonal leads were processed to extra...

<p>Foster (1932) performed a mathematical census for all connected symmetric cubic (trivalent) graphs of order <em>n</em> with <em>n </em>≤ 512. This then was continued by Conder et al. (2006) and they obtained the complete list ≤ 768. In this paper, we determine total vertex irregularity strength such Foster. As result, values strengths from Foster strengthen conj...

OBJECTIVE The first-night effect is a well-known phenomenon resulting from an individual's maladaptation to the unfamiliar environment of a sleep laboratory. However, there have been no direct reports of the effect of previous sleep patterns on the first-night effect. We aimed to investigate the effect the previous week's sleep pattern on the first-night effect. METHODS Twenty-four young, hea...

Most of the molecular graphs in area mathematical chemistry are irregular. Therefore, irregularity measure is a crucial parameter chemical graph theory. One such that has recently been proposed ve-degree index (irrve). Quantitative structure property relationship (QSPR) analysis explores capability an to model numerous properties molecules. We investigate usefulness irrve predicting different p...