the degree kirchhoff index of a connected graph $g$ is defined as‎ ‎the sum of the terms $d_i,d_j,r_{ij}$ over all pairs of vertices‎, ‎where $d_i$ is the‎ ‎degree of the $i$-th vertex‎, ‎and $r_{ij}$ the resistance distance between the $i$-th and‎ ‎$j$-th vertex of $g$‎. ‎bounds for the degree kirchhoff index of the line and para-line‎ ‎graphs are determined‎. ‎the special case of regular grap...

‎in this paper‎, ‎we present a new modification of chebyshev-halley‎ ‎method‎, ‎free from second derivatives‎, ‎to solve nonlinear equations‎. ‎the convergence analysis shows that our modification is third-order‎ ‎convergent‎. ‎every iteration of this method requires one function and‎ ‎two first derivative evaluations‎. ‎so‎, ‎its efficiency index is‎ ‎$3^{1/3}=1.442$ that is better than that o...

aridity and drought are two inevitable occurrences of the climate change in the region. so, any kinds of planning and futurism, without regard to them, lead to failure. climate change cause drought phenomenon. the anomalies and irregularities in the precipitation mainly cause drought. fars province, one of the important centers of agriculture, population and industry in the country, with specif...

the first zagreb index $m_1$ of a graph $g$ is equal to the sum of squaresof degrees of the vertices of $g$. goubko proved that for trees with $n_1$pendent vertices, $m_1 geq 9,n_1-16$. we show how this result can beextended to hold for any connected graph with cyclomatic number $gamma geq 0$.in addition, graphs with $n$ vertices, $n_1$ pendent vertices, cyclomaticnumber $gamma$, and minimal $m...

Introduction: Biological Width is needed to maintain the health of gingiva around teeth that need restoration. Crown Lengthening (CL) surgery can be used to prevent  invading the BW by sub-gingival restoration. The aim of this study was to evaluate gingival indices before and after CL surgery. Materials and Methods: In this analytical-longitudinal study, 23 teeth of 18  patients referred to ...

Introduction:There are conflicting reports on the effects of surgical removal of impacted mandibular third molars on the periodontium of the adjacent teeth. The aim of this study was to compare the condition of the periodontium six months after extraction of impacted mandibular third molars with baseline values. Methods: Fifty patients with mesioangular impacted mandibular third molarsparticipa...