Mister India

May 17th, 2015
Studypool Tutor
Price: $10 USD

Tutor description

1. Determine if an undirected graph G = (V, E) is connected, where |V| = n and |E| = m. 2. Find all the cycles in an undirected graph G. 3. (Optional) Find all articulation points in G.

Word Count: 1378
Showing Page: 1/5
Mister IndiaCycles in an Undirected Graph1. Determine if an undirected graph G = (V, E) is connected, where |V| = n and |E| = m. 2. Find all the cycles in an undirected graph G.3. (Optional) Find all articulation points in G.Terminology: Given an undirected graph, a depth-first search (DFS) algorithm constructs a directed tree from the root (first node in the V). If there exists a directed path in the tree from v to w, then v is an predecessor of w and w is a descendant of v. A node-node adjacency structure is an n n matrix such that entry aij = 1 if node i is adjacent to node j and 0 otherwise. A node-edge adjacency structure lists for each node, the nodes adjacent to it.ExampleLet V = {1,2,3,4} and E = {(1,2), (1,3), (2,3), (3,4)}. The node-node adjacency structure is 011010101101001021The node-edge adjacency structure is31: 2,32: 1,33: 1,2,44: 34Note that node 4 is called a leaf.(1 and 2) Depth-first search (DFS) can be used to solved all three problems. It is usually assumed that the graph data structure is of the type node-edge adjacency instead of node-node adjacency. In the node-edge adjacency structure, the nodes are numbered from 1 to n. The node-i record lists the nodes adjacent to node i (connected to node i by an edge). DFS starts by setting node 1 as the current node.DFS iteration (i is the current node) If one or more nodes of the node-i record were not yet visited from i, let node j be the first node not visited. If node

Review from student

Studypool Student
" Thanks, good work "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1828 tutors are online

Other Documents


Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors