let g=(v,e) be a simple graph. an edge labeling f:e to {0,1} induces a vertex labeling f^+:v to z_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(1)-v_f(0) is called the edge-f...

During the manufacturing process, fibrous materials used in composite reinforcements are subjected to many sources of damage that must be managed if best possible quality is reached for final product. More specifically, carbon fibers subjected, during reinforcement manufacturing, friction with mechanical components and other tows excessive tensile loads due specific configurations required by t...

If we think of the graph as modeling a network, the vulnerability measure the resistance of the network to disruption of operation after the failure of certain stations or communication links. Many graph theoretical parameters have been used to describe the vulnerability of communication networks, including connectivity, integrity, toughness, binding number and tenacity.In this paper we discuss...

In this research paper, we present a novel frame work for handling $m$-polar information by combining the theory of $m-$polar fuzzy  sets with graphs. We introduce certain types of edge regular $m-$polar fuzzy graphs and edge irregular $m-$polar fuzzy graphs. We describe some useful properties of edge regular, strongly edge irregular and strongly edge totally irregular $m-$polar fuzzy graphs. W...

Selection of cotton fibers in terms their quality value has created a domain emerging interest among the researchers. In this study, newly developed Best-Worst Method (BWM) was integrated with Revised Analytic Hierarchy Process (RAHP) to rank fiber lots on basis six apposite properties namely bundle tenacity, elongation, micronaire, upper half mean length, uniformity index, and short index. Ran...

nowadays, polymer blends usages increase more and more in order to produce materials with better properties. according to many research works, the blends of polyolefins have shown industrial importance. the purpose of this project was to carry out some investigations on fibers melt spun from the polypropylene and low density polyethylene blends. pp and ldpe are immiscible. pp/ldpe blend filamen...