Let $kgeq 1$ be an integer, and $G=(V,E)$ be a finite and simplegraph. The closed neighborhood $N_G[e]$ of an edge $e$ in a graph$G$ is the set consisting of $e$ and all edges having a commonend-vertex with $e$. A signed Roman edge $k$-dominating function(SREkDF) on a graph $G$ is a function $f:E rightarrow{-1,1,2}$ satisfying the conditions that (i) for every edge $e$of $G$, $sum _{xin N[e]} f...

OBJECTIVE We examined whether surgically induced membrane defects elevate connexin 43 (Cx43) expression in the wound edge of the amniotic membrane (AM) and drives structural changes in collagen that affects healing after fetoscopic surgery. METHOD Cell morphology and collagen microstructure was investigated by scanning electron microscopy and second harmonic generation in fetal membranes take...

Roll forming process is used for manufacturing sheet metal parts by successive bending and creating the final shape with gradual deformation. In this article, deformation of a pre-punched sheet due to the roll forming process was studied. Two main defects in the roll forming process are ovality of holes and bow defect. The ovality of the hole is influenced by the process parameters including sh...

‎‎let $g=(v,e)$ be a simple graph‎. ‎an edge labeling $f:eto {0,1}$ induces a vertex labeling $f^+:vtoz_2$ defined by $f^+(v)equiv sumlimits_{uvin e} f(uv)pmod{2}$ for each $v in v$‎, ‎where $z_2={0,1}$ is the additive group of order 2‎. ‎for $iin{0,1}$‎, ‎let‎ ‎$e_f(i)=|f^{-1}(i)|$ and $v_f(i)=|(f^+)^{-1}(i)|$‎. ‎a labeling $f$ is called edge-friendly if‎ ‎$|e_f(1)-e_f(0)|le 1$‎. ‎$i_f(g)=v_f(...

We introduce the notion of robustness of the minimum-weight perfect matching. The robustness measures how much the edge weights of a graph are allowed to change before the minimum-weight matching changes. We consider two cases: when the edge weights are changed adversarially and when they are changed randomly. We provide algorithms for computing the robustness in both cases.

In the 30 years since journal Environmental Politics was founded, we have witnessed a profound shift in how understand climate from its initial framing as global problem, to one that is increasingly understood transnational, personal, urban, networked, and regional. Charting rise of change’s urban agenda over past decade, I suggest are now witnessing ‘third wave’ urbanism which challenge addres...

Aim Physiological responses to climate can be used quantify the environmental limits that a species tolerate and are, therefore, key biogeographical studies. Several ecophysiological climatic factors may shape distribution of species, but our knowledge is mostly centred in thermal ecophysiology. We applied an integrative approach investigate how small ectotherm are modulated by variation across...