labelled tree has the Prufer sequence (2, 4, 6, 5, 3, 1, 2). Determine the maximum degree of a vertex in the tree and the length of the longest path in it. Recall that the length of a path is the number of edges in it. Maximum degree | Select] Length of longest path = [Select]

Q: A city is built on the banks of a river and some islands in the river. The map below shows the…

A: Remark: An Euler path is a path that uses every edge of a graph exactly once. The graph is given as

Q: 3. Determine if the following graph is a bipartite graph. Write each partite set.

A: A graph G is bipartite if and only if all cycles in G are of even length.

Q: onsider a graph on 4 vertices in the shape of a square. What is the degree sequence of the graph?…

A: According to the given information first it is required to find the degree sequence of the graph of…

Q: Consider the following: IM Using a as the root of the tree and a depth-first search, which graph…

A:

Q: A city is built on the banks of a river and some islands in the river. The map below shows the…

A: Given: A map of a city built on the banks of a river and some islands in the river. The map below…

Q: Consider the graph given above. Use Kruskal's algorithm to find the minimum spanning tree. a. What…

A: Given the graph is                    .

Q: Discrete math. Graph Theory

A: K-regular graph means each vertex has k degree.

Q: Scheduling ExamsUse graph coloring to determine the least number of exam timesneeded and to identify…

A: 1. Modeling the Problem:Each course is represented as a vertex (node) in a graph.An edge…

Q: If two graphs are isomorphic, which of the follow must be true? They have the same number of…

A: We know thatThe isomorphism of a graph can be described as a graph in which a single graph can have…

Q: 1. The degree sequence of a graph is a list of the degrees of the vertices of a grap in decreasing…

A:

Q: Use the decreasing time algorithm to create a priority list for the digraph below. T1 (7) T4 (2) T6…

A:

Q: Explain why there are no simple graphs with these degree sequences. (а) 6,6,5,3,2,2,2 (b)…

A: a) Given degree sequence is        6,6,5,3,2,2,2 We prove there is no simple graph with this degree…

Q: 4.) Determine whether there is a graph with the given conditions. In each case, if such graph, or…

A: According to the rules we can do maximum three questions

Q: Using the Breadth-First spanning tree search algorithm, what is the spanning tree if you start with…

A:

Q: If possible, draw an example of each graph as described. Otherwise, describe why such a graph does…

A: Hey, since there are multiple sub-parts posted, we will answer the first 3 sub-parts. If you want…

Q: What is the weight of a maximum weight spanning tree in graph G that is shown below? O 91 None of…

A: We have the given graph as shown below.we first replace the weight of each edge by its negative…

Q: represent

A:

Q: 10 12 14 13 6. 19 F 17 16 11 B. 15 18 Consider the graph given above. Use Kruskal's algorithm to…

A: The spanning tree is given as follows :

Q: Using either algorithm, find the total weight of a minimum spanning tree for the graph below: 22 8…

A: Kruskal’s Algorithm: 1. Sort all the edges in a increasing order of their weight. 2. Pick the…

Q: Draw a graph (simple and connected) that has the degree sequence (3,3,3,2,2,1,1,1). Is it possible…

A: It won't be an tree

Q: Give an efficient algorithm that, for any sequence d₁, d2, ..., dn that is th sequence of a tree,…

A: Here is an efficient algorithm that constructs a tree from a degree sequence: Sort the degree…

Q: Draw and analyze a pie graph for the number of credit cards a person has  67-0 cards 40-1 card…

A: It is given, S. No. Number of cards Number of persons 1 0 67 2 1 40 3 2 or 3 40 4 4 or…

Q: 190 151 121 A 166 117 D Use Kruskal's algorithm to find the total weight of the minimum spanning…

A:

Q: The total degree of a tree with m vertices is (2m-2). True O False

A: •The degree of a vertex v of a graph G is the number of edges incident on v with self loop…

Q: Dijkstra's Algorithm Shortest Paths • Dijkstra's algorithm is an algorithm that finds the shortest…

A: Let us find the shortest distance between vertex G and all other vertex in weighted graph :

Q: Which set of edges below is the minimum spanning tree of graph H? 2 3 2 d H {d, e), {c, d), (a, b),…

A:

Q: Using the Breadth-First spanning tree search algorithm, what is the spanning tree if you start with…

A: Spanning tree is a tree that connects all the vertices of a graph with a minimum possible number of…