Consider the following graph: a d 1. What is the type of given graph? 2. What is the in-degree of the vertices a and c? 3. What is the out-degree of the vertices b and d? 4. Write all cycles starting from vertex a only. C e

Q: . Which of the following is the longest path in the graph?  b. What is the longest cycle in the…

A: First lets understand path and cyclePath : is traversing a sequence of vertices where vertices and…

Q: (d) a C b) f (h

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Q: What

A: Theorem 5.10.6 (Five Color Theorem) Every planar graph can be colored with 5 colors.   Proof. The…

Q: This graph has an Eulerian tour or cycle O True O False

A: To determine whether a graph has an Eulerian tour or cycle, we need to consider the degrees of its…

Q: 6. Does each of these lists of vertices form a path in the following graph? Which are circuits? What…

A: Step 1: Step 2: Step 3: Step 4:

Q: a d b a) Give the vertex set of the G. b) Give the set of edge of G. c) Find the degree of each of…

A: In this question we have been given with the graph and we have to answer for the graph theory…

Q: Suppose you have a graph with N vertices. What is the largest number of edges it may have? log N…

A: Below is the answer assuming the graph provided is an undirected graph.

Q: 1. This question is about type of graphs. Construct a graph with exactly 5 nodes such that the graph…

A: We have to construct graphs with exactly 5 nodes such that graph is not connected and graph is not…

Q: Give the adjacency list for the graph.

A: ``` A: B, C B: A, D, E C: A, F D: B, G E: B, H F: C, G G: D, F, H H: E, G ``` Explanation:The given…

Q: Give an example of a graph with an infinite number of vertices and an infinite number of edges that…

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