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  1. 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 …

  2. Definition of adjacent vertices in directed graph

    Jun 7, 2020 · 1 I was going through the text "Discrete Mathematics and its Applications" by Kenneth Rosen, where I found the definition of adjacent vertices in the context of directed graphs a bit …

  3. math software - Online tool for making graphs (vertices and edges ...

    Dec 11, 2010 · Anyone know of an online tool available for making graphs (as in graph theory - consisting of edges and vertices)? I have about 36 vertices and even more edges that I wish to draw. …

  4. Cut vertices and cut edges - did I answer these correctly?

    13 Problem Find the cut vertices and cut edges for the following graphs My understanding of the definitions: A cut vertex is a vertex that when removed (with its boundary edges) from a graph …

  5. Coordinates of the vertices of a five-pointed star

    Mar 15, 2020 · Prett much the same approach provided already, but I've included a diagram and gave the information in degrees rather than radians. As you can see in the image, the coordinates are …

  6. Number of distinct connected digraphs with 4 vertices and 6 edges

    Mar 14, 2017 · My question is "How many distinct graphs are there with 4 vertices and 6 edges?" By "distinct, I mean that no graph can be turned into another by flipping, rotating, or re-labeling the …

  7. Proving that the number of vertices of odd degree in any graph G is ...

    Jan 23, 2015 · To prove that the number of odd vertices in a simple graph is always even, we can use the Handshaking Lemma, which states that the sum of the degrees of all vertices in a graph is twice …

  8. How to calculate vertices of dodecahedron using W|A?

    Can I calculate for example with wolfram alpha coordinates of vertices of dodecahedron? I know coordinates of center point of dodecahedron (center of gravity) and the height of dodecahedron. Than...

  9. discrete mathematics - prove that a connected graph with $n$ vertices ...

    1 This result is immediate by induction once you have established (as lemma) that in every connected graph with at least two vertices there are at least two vertices that can be individually removed (with …

  10. How to find the shortest path between opposite vertices of a cube ...

    Mar 5, 2016 · Consider the cube as a 6-sided cardboard box made by folding a flat T-shaped piece of cardboard made of 6 squares sharing some common edges. Unfold the box, draw a straight line on it …