A graph G = (V,E) with p vertices and q edges is said to be a total mean cordial graph if there exists a function f : V (G) → {0, 1, 2} such that f(xy) = [(f(x)+f(y))/2] where x, y ∈ V (G), xy ∈ E(G), and the total number of 0, 1 and 2 are balanced. That is |evf (i) − evf (j)| ≤ 1, i, j ∈ {0, 1, 2} where evf (x) denotes the total number of vertices and edges labeled with x (x = 0, 1, 2). In thi...

Convergence is an issue being widely concerned about. Thus, in this paper, we mainly put forward two types of concepts of convergence in mean and convergence in distribution for the sequence of uncertain random variables. Then some of theorems are proved to show the relations among the three convergence concepts that are convergence in mean, convergence in measure and convergence in distributio...

let g(v,e) be a graph with p vertices and q edges. a graph g is said to have an odd mean labeling if there exists a function f : v (g) → {0, 1, 2,...,2q - 1} satisfying f is 1 - 1 and the induced map f* : e(g) → {1, 3, 5,...,2q - 1} defined by f*(uv) = (f(u) + f(v))/2 if f(u) + f(v) is evenf*(uv) = (f(u) + f(v) + 1)/2 if f(u) + f(v) is odd is a bijection. a graph that admits an odd mean lab...

1. Research on where we look gets real 2. Your brain unscrambles words in the mirror 3. Online ostracism affects children differently from teens and adults 4. Live worm during political TV debates could be a threat to democracy 5. Psychologists destroy money for the sake of science 6. Why you should fill your rooms with rounded, curvy furniture

1. Your left brain has a bigger ego than your right brain 2. Obsessive driving fanatics are prone to drive aggressively 3. Repression debunked 4. Social flow – how doing it together beats doing it alone 5. Intrusive images and intrusive verbal thoughts are different phenomena 6. How framing affects our thought processes

Although it is well established that inheritance of mutations in the Brca1 gene significantly increases the chances of developing breast or ovarian cancers, the mechanisms underlying this specific tumor susceptibility remain to be clarified. It is clear that one of the roles of the Brca1 protein is to facilitate cellular responses to DNA damage. We recently reported that Brca1 function is requi...

1. Using beauty as an advertising tool – does it always work? 2. The ‘smell’ of other people’s anxiety makes us take more risks 3. Shock result! Asking children and teens to promise to tell the truth actually works 4. Moving the eyes but not looking – why do we do it? 5. How skilled are London taxi drivers at learning routes through unfamiliar towns? 6. Dramatic study shows participants are aff...