7. Determine whether the following graphs are trees. Explain your answer. а) V3 V5 V6 b) vo Vネ v5 V6
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- 7. Determine whether the following graphs are trees. Explain your answer. a) V4 v3 v5 V6 b) Vi Vo VAPlease solve the following using Java. Please also provide some explanations because I am new to Graph Traversal. Canadian Computing Competition: 2010 Stage 1, Junior #5 Below is an 8×88×8 chessboard on which we will designate square locations using the ordered pairs as indicated. For example, notice that piece AA is at position (2,2)(2,2) and piece BB is at position (4,3)(4,3). 8 7 6 5 4 3 B 2 A 1 1 2 3 4 5 6 7 8 A knight is a special game piece that can leap over other pieces, moving in the "L" pattern. Specifically, in the diagram below, KK represents the knight's starting position and the numbers 1 through 8 represent possible places the knight may move to. 8 7 6 8 1 5 7 2 4 Knight 3 6 3 2 5 4 1 1 2 3 4 5 6…Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. You are given a tree — associated undirected chart without cycles. One vertex of the tree is exceptional, and you need to track down which one. You can pose inquiries in the accompanying structure: given an edge of the tree, which endpoint is nearer to the uncommon vertex, which means which endpoint's most brief way to the extraordinary vertex contains less edges. You need to track down the uncommon vertex by posing the base number of inquiries in the most pessimistic scenario for a given tree. If it's not too much trouble, note that the exceptional vertex probably won't be fixed by the interactor ahead of time: it may change the vertex to some other one, with the prerequisite of being steady with the recently offered responses. Input You are given an integer n (2≤n≤100) — the number of vertices in a tree. The folloiwing n−1 lines contain two integers every, u and v…
- Course: Data Structure and Algorithms Language: Java Kindly Answer in 1 hour. Read Carefully and give answer with all necesary details. Check the image also. Question3: Explain how a Boolean matrix can be used to represent the edges of a directed graph whose vertices are numbered 1 to n. Draw adjacency matrix of following graph.9. The number of edges in a minimum spanning tree for a graph with V vertices and E edges is a) V-1. b) V. c) E-1. d) E. 10. Which of the following are a possible number of topological sort orderings for a directed acyclic graph with five vertices? a) 0 b) 1 c) 120 d) b and c e) all of the aboveWhich of the following graphs are trees? *
- 26 Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Consider the following pair of graphs: X o1:02 48 V3 us V4 If the given graphs are isomorphic, then identify the correct mapping between the sets of vertices of the two graphs. Multiple Choice Aun) = v1, Au2) = v2, luz) = v3, fU4) = V5, and fu5) = v4 uiz Tools AU) = V, Au2) = v3, Auz) = v2, fu4) = V5, and fug) = v4 The two graphs are not isomorphic. 00% Aun) = V1, Au2) = V3, Auz) = v2, Au4) = v4, and flu5) = v5 seWhich of the following graphs are trees? (a) (h) (e) (S)5. Graph Traversals Breadth First Search
- A binomial tree is a special type of rooted tree, defined recursively as follows: Basis Step: The Oth binomial tree, Bo, is a single vertex. Recursive Step: For k > 1, the kth binomial tree, B, consists of two copies of B-1 and an additional edge making the root of one copy the child of the root of the other. a) Draw B2 b) Find a (non-recursive) formula for the number of vertices in B, and prove your formula correct. c) Prove that there are C(k, l) vertices at level l of Be (You may find Pascal's identity useful: C(n + 1, k) = C(n, k – 1) + C(n, k))1. Draw a tree with 14 vertices 2. Draw a directed acyclic graph with 6 vertices and 14 edges 3. Suppose that your computer only has enough memory to store 40000 entries. Which best graph data structure(s) – you can choose more than 1 -- should you use to store a simple undirected graph with 200 vertices, 19900 edges, and the existence of edge(u,v) is frequently asked? –Adjacency Matrix –Adjacency List –Edge ListA tree can be represented using lists as follows. (root listOfSubTrees ) tree listOfSubTrees tree = root listOfSubTrees = tree Consider the tree defined by: (FD (G (AHI) C) E B) Give the order of letters visited in when using a pre-order traversal implemented recursively as seen in class. (separate each element with a space where the left is the first element visited and the right is the last element visited, example: A B C D E F)