Chapter 10: Q1SE (page 738)
How many edges does a \({\rm{50}}\)-regular graph with \({\rm{100}}\)vertices have?
The graph contains \({\rm{2500}}\)edges.
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Explain how to find a path with the least number of edges between two vertices in an undirected graph by considering it as a shortest path problem in a weighted graph.
Find the second shortest path between the vertices\({\bf{a}}\)and\({\bf{z}}\)in Figure 3 of Section 10.6.
In Exercises \({\rm{3 - 5}}\)determine whether two given graphs are isomorphic.
a) Describe three different methods that can be used torepresent a graph.
b) Draw a simple graph with at least five vertices andeight edges. Illustrate how it can be represented using the methods you described in part (a).
Extend Dijkstra’s algorithm for finding the length of a shortest path between two vertices in a weighted simple connected graph so that the length of a shortest path between the vertex a and every other vertex of the graph is found.
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