After reading Section 5.3 answer the following: (a) Define the density of a graph. (b) What does a TRUE for is.isolate(graph,5) indicate? (c) Given a graph variable ‘graph’ what is the difference...

After reading Section 5.3 answer the following:

(a) Define the density of a graph.

(b) What does a TRUE for is.isolate(graph,5) indicate?

(c) Given a graph variable ‘graph’ what is the difference between ‘is.connected(graph)’ and ‘connectedness(graph)’ in R?

(d) Define the degree of a vertex in a graph.