How to find the discriminant of a graph?
Now, let’s translate the above problem into a concrete function. Let’s say you want to find the discriminant of a graph whose vertices are points in the plane and edges are lines between them. In other words, the graph is formed by points in the plane, with two vertices connected by an edge if they lie on a line.
How to find the discriminant of a directed graph?
It is not possible to directly find the discriminant of a graph as it is possible for a square matrix. However, it is possible to find the discriminant of a directed graph in polynomial time. To find the discriminant of a directed graph, you need to find a set of edges whose removal, if possible, will make the graph acyclic. Once you have the edges that can be removed without making the graph acyclic, find the sum of the squares of
How to find the discriminant of a bipartite graph?
The discriminant of a bipartite graph is the product of the degrees of the nodes in the two vertex classes. Since the sum of the degrees of nodes in a bipartite graph equals twice the number of edges, the discriminant is just the number of edges. In other words, the discriminant of a bipartite graph is the number of edges that connect nodes of different vertex classes.
How to find the discriminant of a simple graph?
The discriminant of a simple graph is the product of the degrees of its vertices. A graph is called simple if all its vertices are of degree 1 or 2. A vertex of degree 1 is called a vertex of degree sum 1. A vertex of degree 2 is called a vertex of degree sum 2. You can find the discriminant for a simple graph using the following method.
How to find the discriminant of a symmetric graph?
One of the simplest ways to do this is to use Kirchhoff’s Matrix Tree Theorem. The matrix tree theorem states that the “effective resistance” between two nodes is equal to the sum of the reciprocals of the roots of the characteristic polynomial of the Laplacian of the graph. The Laplacian of a graph is a square matrix whose rows and columns correspond to vertices of the graph and whose entries are the sums of the degrees of the