Every tree is bipartite.    [1] Every graph contains a spann…

Every tree is bipartite.    Every graph contains a spanning tree as a subgraph. If a graph has exactly one more vertex than it has edges, then the graph is a tree. Every forest is a tree. Every connected graph contains a spanning tree as a subgraph. If a graph has two more vertices than edges, then it is not connected.

Given a graph, it is possible to find more than one spanning…

Given a graph, it is possible to find more than one spanning tree A spanning tree with the smallest possible comgined weight is called a We often designate a particular vertex in a tree so that every other vertex on the tree can be characterized by its position relative to this particular vertex which is called the Given a graph, there can be at most one Hamilton path

Case Study 3 (question 10-15 pertain to this scenario) An ed…

Case Study 3 (question 10-15 pertain to this scenario) An editor for a peer reviewed journal approached Chery, a dental hygienist aspiring to become a published author, to write an article. She was given the option to write an article about the history of dental hygiene or one on prevention methods. This could be her one shot so why not go for it. This article was going to be a combination of the history of dental hygiene and dental hygiene prevention methods. Chery knew she needed to begin the process with research. Research revealed… Question 10: The founder of dental hygiene is: