6 Noll 2025 · The least number of vertices that a polyhedron can have, such that its diagonal faces enclose an interior solid region? Note: "interior" means the solid does not intersect the …

14 DFómh 2023 · Now, let's use these properties to prove the statement. If a graph has an Eulerian path, there must be exactly two vertices with odd degrees (the starting and ending …

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 …

Here's alternative proof that a connected graph with n vertices and n-1 edges must be a tree modified from yours but without having to rely on the first derivation:

13 DFómh 2016 · How do you find the area of a parallelogram with the vertices? [closed] Ask Question Asked 9 years, 2 months ago Modified 6 years, 10 months ago

I have tried some ways - mainly using induction by removing one of the vertices of the set from the graph, and/or using Menger's theorem to construct the cycle. But I always encounter …

23 Ean 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 …

14 Ean 2022 · 2 A simple graph $G$ with $n$ vertices in which the sum of degrees of every two non-adjacent vertices is at least $n-1$ has a Hamiltonian path.

19 Márta 2021 · So I guess a 1d hypercube is a line segment. It has 2 verticies and 1 edge. Not sure how many faces it has? A 2d hypercube is a square. It has 4 verticies and 4 edges. Again …

11 Noll 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 …