How many nonisomorphic directed simple graphs are there with Isolated vertices: yes the set of vertices with no arcs is generally included unless explicitly stated Consider the definition of directed graph, and the definition does not exclude the arcs being an empty set Similarly the set of vertices could be an empty set (and the arcs too, in that case)
Vertices of a Square - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
Vertices of an equilateral triangle - Mathematics Stack Exchange The following defines the three vertices as points in 3-space: vertexA = Origin + FreeBasis {-2, 4, 0} vertexB = Origin + FreeBasis {1, 2, -1} vertexC = Origin + FreeBasis {-1, 1, 2} Giving: The Measure routine gives the distance between any pair of points We check if they are all equal
Relationship between vertices and edges in platonic solids This makes use of the fact that all the edges of the platonic solids are of equal length, and due to their symmetry and convexity, no two non-adjacent vertices are closer than the edge length All, the other methods as far as it appears to me can't be generalised to all the platonic solids
Online tool for making graphs (vertices and edges)? Edit Mode - adding vertices by clicking on workspace and adding edges by dragging (or by selecting an appropriate option from a context menu) Grouping vertices; Changing style of nodes and edges (color, shape, thickness of edge, line style, node size) Bending edges; Shortcuts support; Displaying the last action with possibility to undo
Finding vertices of regular polygon - Mathematics Stack Exchange I am trying to find the vertices of a regular polygon using just the number of sides and 2 vertices After the second vertex, I will make left turns to find each subsequent vertex that follows For example, If I have 4 sides, and 2 points, (0,0) (0,10), how would I go about find the next to point of the square?
combinatorics - How many triangles can be formed by the vertices of a . . . 1) no of triangles with only one side common with polygon, if we take any one side of a n-sided polygon and join its vertices to the remaining vertices, except the vertices adjacent to vertices of the line taken above, we get triangles with only one side as common i e for 1 side we get (n-4) triangles $\implies$ n(n-4) triangles for n sides
Graph theory: adjacency vs incident - Mathematics Stack Exchange Usually one speaks of adjacent vertices, but of incident edges Two vertices are called adjacent if they are connected by an edge Two edges are called incident, if they share a vertex Also, a vertex and an edge are called incident, if the vertex is one of the two vertices the edge connects
analytic geometry - Mathematics Stack Exchange without searching for the coordinates of the vertices? There isn't any need to "search" for the coordinates of the vertices, because the coordinates of a vertex are nothing but the solution of the equations of the two lines that intersect to form that vertex