The atom-bond connectivity index of graph is a topological index proposed by Estrada et al. as ABC (G)  uvE (G ) (du dv  2) / dudv , where the summation goes over all edges of G, du and dv are the degrees of the terminal vertices u and v of edge uv. In the present paper, some upper bounds for the second type of atom-bond connectivity index are computed.

This paper presents a meshless point collocation method for three-dimensional crack propagation. The meshless point collocation method is based on direct discretization of strong-form governing equations to achieve a truly meshless scheme that does not require mesh structures or a numerical integration procedure. These characteristics of the point collocation method enable the direction of an a...

An analysis of joint patterns were carried out on multiple exposures in Albian to Turonian strata belonging the Abakaliki Formation (Asu River Group) and Eze-Aku (Eze-Aku eastern flank Anticlinorium Southern Benue Trough. The was using FracPaQ a MATLAB based toolbox for quantification fracture patterns. tool used calculate density, intensity traces; quantify scaling distributions, determine dil...

Background: Early diagnosis of patients in the early stages of Alzheimer's, known as mild cognitive impairment, is of great importance in the treatment of this disease. If a patient can be diagnosed at this stage, it is possible to treat or delay Alzheimer's disease. Resting-state functional magnetic resonance imaging (fMRI) is very common in the process of diagnosing Alzheimer's disease. In th...

This study provides a numerical approach to evaluate the effect of sample sizes on fluid flow through single rough-walled fracture. The fracture was generated by using mathematical statistics. Its aperture follows normal distribution along large-size plane dimensions 20 m × m, and from this plane, series fractures with different were extracted. Then, two-dimensional (2D) Reynolds equation solve...

let $g=(v,e)$ be a connected graph. the eccentric connectivity index of $g$, $xi^{c}(g)$, is defined as $xi^{c}(g)=sum_{vin v(g)}deg(v)ec(v)$, where $deg(v)$ is the degree of a vertex $v$ and $ec(v)$ is its eccentricity. the eccentric distance sum of $g$ is defined as $xi^{d}(g)=sum_{vin v(g)}ec(v)d(v)$, where $d(v)=sum_{uin v(g)}d_{g}(u,v)$ and $d_{g}(u,v)$ is the distance between $u$ and $v$ ...

background at altnagelvin, a district general hospital in northern ireland, we have observed that a significant number of hip fracture admissions are later readmitted for treatment of other medical conditions. these readmissions place increasing stress on the already significant burden that orthopedic trauma poses on national health services. objectives the aim of this study was to review a ser...

We use an integrated approach consisting of experiments and complementary pore-scale network modeling to investigate the occurrence of sparsely connected pore spaces in rock matrices at Yucca Mountain, Nevada, and their implications for matrix diffusion. Imbibition results indicate that pore spaces in devitrified tuff are not well-connected, and that this lack of connectivity is further compoun...

Tight sandstone reservoirs, as typical unconventional have attracted more and attention worldwide. Compared to conventional the complex microscopic pore structures micro-fractures of tight reservoirs are developed, fluid flow in reservoir is very complicated. Therefore, studying influence fractures on rock topological structure characteristics between matrix critical development reservoirs. In ...