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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
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
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
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
Finding number of edges given vertices and degree sequence? $\begingroup$ and without giving too much away, there is only one simple graph that has $6$ vertices all of degree $4$, and it corresponds to one of the regular polyhedra $\endgroup$ – Joffan Commented Feb 15, 2017 at 16:59
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)
How many four-vertex graphs are there up to isomorphism; Each vertices could have a degree of 0, 1, 2 or 3 Four possibilities times 4 vertices = 16 possibilities And also, maybe, since the graphs are fundamentally different (not isomorphic), you need to minus 1 possible variation since it would match the other graph
How to calculate the number of possible connected simple graphs with IF it is a simple, connected graph, then for the set of vertices {v: v exists in V}, v is adjacent to every other vertex in V This type of graph is denoted Kn For Kn, there will be n vertices and (n(n-1)) 2 edges To determine how many subsets of edges a Kn graph will produce, consider the powerset as Brian M Scott stated in a previous comment