Answer to Question #128923 in Discrete Mathematics for usama

Question #128923
Take 5 nodes & 8 edges, Draw any Directed graph (Take help from book, but DO NOT copy paste any graph from examples or exercise.)
a) Determine whether the given graph has Hamilton circuit, if it does, find such circuit.
b) If not, provide the reason
1
Expert's answer
2020-08-10T18:07:42-0400


Here is a graph with 5 nodes and 8 edges. It is directed. Three numbers near every node indicate a) total number of connection with this vertex, b) number of in-coming paths (with +), c) number of out-coming paths (with -).

All complete directed graphs with two vertices have Hamiltonian path. We can consider given graph, at first, as a graph with 2 vertices and then add vertices one by one. Since the graph is connected and every vertex has as in-coming as out-coming paths, the Hamiltonian circuit exists. It is shown in the picture with the green line.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS