It is well understood that the buckling response of steel members can be significantly affected by their initial geometric imperfections. Therefore, it paramount importance these imperfections are accurately measured and subsequently accounted for when studying behaviour members. This paper discusses design, development calibration an imperfection measuring rig. The set-up makes use a laser dis...

We are interested in a version of graph colouring where there is a ‘co-site’ constraint value k. Given a graph G with a non-negative integral demand xv at each node v, we must assign xv positive integers (colours) to each node v such that the same integer is never assigned to adjacent nodes, and two distinct integers assigned to a single node differ by at least k. The aim is to minimise the spa...

Carbon Nanotube Field Effect Transistors (CNFETs), consisting of semiconducting single-walled Carbon Nanotubes (CNTs), show great promise as extensions to silicon CMOS and in large-area electronics. While there has been significant progress at a single-device level, a major gap exists between such results and their transformation into VLSI CNFET technologies. Major CNFET technology challenges i...

the concept of geometric-arithmetic indices (ga) was put forward in chemical graph theoryvery recently. in spite of this, several works have already appeared dealing with these indices.in this paper we present lower and upper bounds on the second geometric-arithmetic index(ga2) and characterize the extremal graphs. moreover, we establish nordhaus-gaddum-typeresults for ga2.

continuing the work k. c. das, i. gutman, b. furtula, on second geometric-arithmetic indexof graphs, iran. j. math chem., 1(2) (2010) 17-28, in this paper we present lower and upperbounds on the third geometric-arithmetic index ga3 and characterize the extremal graphs.moreover, we give nordhaus-gaddum-type result for ga3.

Although there have been significant developments in the testing, simulation and design of stainless steel structural elements at room temperature, response members fire has received significantly less attention. In particular, full-scale tests on I-section members, which are becoming increasingly widely used engineering applications to meet growing load-carrying capacity demands, currently sca...

Position-independent geometric errors (PIGEs), caused by assembly imperfection, affect the machine tool's accuracy. Moreover, rotary axes of five-axis tools introduce more PIGEs during parts machining, hence, need to identify them improve However, identification centerlines and use extension bars, using double ball bar (DBB), additional setup uncertainties error measurements sometimes make proc...

‎in this paper first we define the morphism between geometric spaces in two different types‎. ‎we construct two categories of $uu$ and $l$ from geometric spaces then investigate some properties of the two categories‎, ‎for instance $uu$ is topological‎. ‎the relation between hypergroups and geometric spaces is studied‎. ‎by constructing the category $qh$ of $h_{v}$-groups we answer the question...