Let Z2 = {0, 1} and G = (V ,E) be a graph. A labeling f : V → Z2 induces an edge labeling f* : E →Z2 defined by f*(uv) = f(u).f (v). For i ε Z2 let vf (i) = v(i) = card{v ε V : f(v) = i} and ef (i) = e(i) = {e ε E : f*(e) = i}. A labeling f is said to be Vertex-friendly if | v(0) − v(1) |≤ 1. The vertex balance index set is defined by {| ef (0) − ef (1) | : f is vertex-friendly}. In this paper ...

Let $G$ be a graph with $p$ vertices and $q$ edges. The graph $G$ is said to be a super pair sum labeling if there exists a bijection $f$ from $V(G)cup E(G)$ to ${0, pm 1, pm2, dots, pm (frac{p+q-1}{2})}$ when $p+q$ is odd and from $V(G)cup E(G)$ to ${pm 1, pm 2, dots, pm (frac{p+q}{2})}$ when $p+q$ is even such that $f(uv)=f(u)+f(v).$ A graph that admits a super pair sum labeling is called a {...

‎‎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(...

Accurate measurement of antigen-positive cells by flow cytometry can be hampered by background fluorescence of antigen-negative cells and other particles (e.g., debris). This article focuses on three major causes of background (autofluorescence, spectral overlap, and undesirable antibody binding) by reviewing individual aspects of flow cytometric measurements that contribute to these causes. Th...

An immunohistochemical study was performed with the use of Dako’s EnVision method, as previously described [6, 7]. The results are shown in Table 1. The morules were positive for pancytokeratins (AE1/3 and CAM5.2), cytokeratin (CK) 34BE12, CK5/6, CK8, CK19, Ki-67 (labeling=1%) and p63, but were negative for CK7, CK14, CK20, p53, vimentin, CA125, S100 protein, desmin, CEA, α-smooth muscle antige...

Despite the fact that Thailand does not allow the commercialization of GM crops, the imports of GM soybeans, GM maize, and processed GM food are allowed under the current regulations. While the existence of GM food is unavoidable in Thailand’s market, food processors have more information on the presence of GM than the consumers. GM food labeling is a means to provide consumers with GM informat...

food labeling is found to be a very important public health tool aimed at providing consumers with information which may influence their purchasing decisions. this study has aimed to assess the consumers' behaviors about the important information on the labels and their reasons for use or non-use. this descriptive cross-sectional study was conducted as point of purchase survey among 2123 shoppe...

Let N0 be the set of all non-negative integers, let X N0 and P(X) be the the power set of X. An integer additive set-labeling (IASL) of a graph G is an injective function f : V (G) ! P(N0) such that the induced function f+ : E(G) ! P(N0) is defined by f+(uv) = f(u) + f(v), where f(u) + f(v) is the sum set of f(u) and f(v). An IASL f is said to be an integer additive set-indexer (IASI) of a grap...