Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Using adjacency matrix representation will change the time of scanning through neighbours from O(E) to O(V²).
Therefore, total running time becomes O(V² + V), that is, O(V²).
What is adjacency matrix?
An adjacency matrix, which is a square matrix used to represent a finite graph, is a tool in graph theory and computer science. If two sets of vertices in the graph are adjacent or not, it is indicated by the matrix's elements.
A (0,1)-matrix with zeros on its diagonal makes up the adjacency matrix in the special case of a finite simple graph. The adjacency matrix is symmetric if the graph is undirected, which means that every edge is directed in only one direction. In spectral graph theory, it is investigated how a graph's adjacency matrix's eigenvalues and eigenvectors relate to one another.
It is important to distinguish a graph's adjacency matrix from its degree matrix and incidence matrix, which both represent matrices differently and contain elements that indicate whether or not vertex-edge pairs are incident.
Learn more about adjacency matrix
https://brainly.com/question/29538028
#SPJ1
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.
