Abstract: The Latin square completion (LSC) problem involves completing a partially filled Latin square of order n by assigning numbers from 1 to n to the empty grids such that each number occurs ...

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 \) ...

We begin with simple, finite, connected and undirected graph with vertices and edges. For standard terminology and notations we follow Gross and Yellen [1]. We will provide brief summary of ...

Rewrite \(y = {x^2} - 6x + 11\) in the form \(y = a{(x - b)^2} + c\). In this case \(a = 1\) as the coefficient of \({x^2}\) is \(1\). To get the number inside the bracket, we half the coefficient of ...