نتایج جستجو برای: antimagic labeling
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lactobacilli, like the other gut commensal bacteria, are well known for their use in poultry nutrition and for their probiotic properties. however, little is known about their interaction with the gastro-intestinal tract when administered in vivo. to specifically monitor the passage of lactobacilli after administered in hatchery, lactobacillus plantarum was transformed with the recombinant vect...
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introduction: the field of stem cell biology and regenerative medicine is rapidly moving toward translation to clinical practice. stem cell therapy seems to be a new treatment option for some diseases. so, tracking the distribution of stem cells is crucial to their therapeutic use. based on this fact we labeled human mesenchymal stem cells (mscs) with 111in- oxine for the first time in our coun...
let $g=(v, e)$ be a graph. by emph{directional labeling (ord-labeling)} of an edge $x=uv$ of $g$ by an ordered $n$-tuple$(a_1,a_2,...,a_n)$, we mean a labeling of the edge $x$ such thatwe consider the label on $uv$ as $(a_1,a_2,...,a_n)$ in thedirection from $u$ to $v$, and the label on $x$ as$(a_{n},a_{n-1},...,a_1)$ in the direction from $v$ to $u$. inthis paper, we study graphs, called emph{...
We label the vertices, edges and faces by the consecutive integers from 1 to |V |+ |E|+ |F | in such a way that the label of a face and the labels of the vertices and edges surrounding that face all together add up to a weight of that face. These face weights then form an arithmetic progression with common difference d. In this paper we examine the existence of such labeling for a disjoint unio...
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 ...
a $(p,q)$ graph $g$ is said to have a $k$-odd mean labeling $(k ge 1)$ if there exists an injection $f : v to {0, 1, 2, ldots, 2k + 2q - 3}$ such that the induced map $f^*$ defined on $e$ by $f^*(uv) = leftlceil frac{f(u)+f(v)}{2}rightrceil$ is a bijection from $e$ to ${2k - 1, 2k + 1, 2k + 3, ldots, 2 k + 2q - 3}$. a graph that admits $k$...
Let $G$ be a graph. Let $f:V(G)to{0,1,2, ldots, k-1}$ be a map where $k in mathbb{N}$ and $k>1$. For each edge $uv$, assign the label $left|f(u)-f(v)right|$. $f$ is called a $k$-total difference cordial labeling of $G$ if $left|t_{df}(i)-t_{df}(j)right|leq 1$, $i,j in {0,1,2, ldots, k-1}$ where $t_{df}(x)$ denotes the total number of vertices and the edges labeled with $x$.A graph with admits a...
let $g=(v,e)$ be a connected simple graph. a labeling $f:v to z_2$ induces two edge labelings $f^+, f^*: e to z_2$ defined by $f^+(xy) = f(x)+f(y)$ and $f^*(xy) = f(x)f(y)$ for each $xy in e$. for $i in z_2$, let $v_f(i) = |f^{-1}(i)|$, $e_{f^+}(i) = |(f^{+})^{-1}(i)|$ and $e_{f^*}(i) = |(f^*)^{-1}(i)|$. a labeling $f$ is called friendly if $|v_f(1)-v_f(0)| le 1$. for a friendly labeling $f$ of...
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