A quantum framework for Combinatorial Optimization Problem with linear objective functions. It also can solve graph problem if it's optimization objective function can be represented as linear ...

N. E. Gretsky and J. J. Uhl, Jr. Representations of bounded linear operators on Banach function spaces of vector-valued functions to Banach spaces are given in terms of operator-valued measures. Then ...

A linear k-forest is a graph whose components are paths with lengths at most k. The minimum number of linear k-forests needed to decompose a graph G is the linear k-arboricity of G and denoted by ...

A linear equation is drawn as a straight line on a set of axes. To draw the graph we need coordinates. We generate these coordinates by substituting values into the linear equation. STEP 1 - Draw a ...

Often in economics a linear function cannot explain the relationship between variables. In such cases a non-linear function must be used. Non-linear means the graph is not a straight line. The graph ...

Department of Systems Biology, Harvard Medical School, Boston, MA, United States The linear framework uses finite, directed graphs with labelled edges to model biomolecular systems. Graph vertices ...

Data is rarely so uniform and predictable that plotting data points creates a perfectly linear arrangement. Scatter charts might have wildly varying plots that create a seemingly random correlation ...