Consider eight points on the Cartesian two-dimensional x-y plane. a d For each pair of vertices u and v, the weight of edge uv is the Euclidean (Pythagorean) distance between those two points. For example, dist(a, h) = V4² + 1² = /17 and dist(a, b) = v2² + 0² = 2 Because many pairs of points have identical distances (e.g. dist(h, c) = dist(h, b) = dist(h, f) = V5), the above diagram has more than one minimum-weight spanning tree. %3D %3D Determine the total number of minimum-weight spanning trees that exist in the above diagram Clearly justify your answer.

Q: For the graph below determine the minimum number of colors necessary to color its vertices. Justify…

A: Graph coloring is a fundamental problem in graph theory that involves assigning colors to the…

Q: How do I do this?  We say a graph G = (V, E) has a k-coloring for some positive integer k if we can…

A: Given: How do I do this?  We say a graph G = (V, E) has a k-coloring for some positive integer k if…

Q: Brad is provided with a graph containing X branches. And it's given that the xh branch has a weight…

A: As per the given problem statement we are required to develop a python code to find out the number…

Q: v->w weight B->A 4. B->C 35 30 B->F B->G C->D C->G C->H 50 15 29 E->A E->B 36 E->F G->F 73 26 G->H…

A: Dijkstra algorithm: This is the single source shortest path algorithm and it is mostly applicable…

Q: Draw a graph G containing the following vertices and edges. V(G) = {0, 1, 2, 3, 4, 5, 6} E(G) = {…

A: To draw a graph G with the given vertices and edges, we can represent the graph using an adjacency…

Q: Let G = (V, E) be a connected, undirected graph. Let A = V, B = V, and f(u) = neighbours of u.…

A: Dear Student, The answer to your question is given below -