Answer to Question #267765 in Discrete Mathematics for Jun Pham

Question

Draw a simple, undirected graph yourself, the vertices are connected with each other including 8 vertices and 14 edges. Find the shortest path from two arbitrary vertices:​

a) The weight of each edge is 1.​

b) Self-weighting for edges

Answer 1

a) 8 vertices and 14 edges

Shortest path is minimum distance by following minimum weights between the 2 vertices.

Let the two arbitrary vertices are A,F.

Path to AF:

So, the shortest path is A-E-F (because weight = 2, smallest).

b) Self-weighting for edges

Path to AF:

So, the shortest path is A-E-G-F (since weight = 4, smallest).