24.1.9. Bipartite Graphs

Try these first

1. 1.

   Define a bipartite graph.

   Hint

   Remember the two sets concept.

2. 2.

   What is the difference between a bipartite graph and a complete bipartite graph?

   Hint

   Think about the connections between the sets.

3. 3.

   What defines a bipartite graph?

   • It has odd-length cycles
   • It has two sets of vertices with edges only between sets
   • All vertices are connected

   Hint

   Think about the connections allowed.

4. 4.

   Is it possible for a bipartite graph to have odd-length cycles?

   • True
   • False

   Hint

   Recall the coloring property.

5. 5.

   Design a bipartite graph with 6 vertices, ensuring each side has 3 vertices. Illustrate the connections.

   Hint

   Remember to ensure edges only go between sets.

6. 6.

   Explain the significance of bipartite graphs in resource allocation scenarios in computing.

   Hint

   Think about how tasks and resources interact.