Find the shortest path between any two nodes

Assignment Help Computer Engineering

Reference no: EM133217983

Question: Computer ScienceGiven a graph G = (V, E, W), where V is the set of nodes in G, E is the set of edges in G, and W is the set of positive weights assigned to edges in G. For a pair of nodes u and v, consider two graph-based similarity measures:(1) Sim1 (Jaccard similarity):Nu ∩ Nv Sim1(u, v) = | | , | N u ∪ N v |where N u and N v are the set of neighbors of u and v respectively, and | · | denotes the number of neighbors (cardinality of the set).(2) Sim2: Sim2(u, v) = e x , where x is the length of the shortest path between u and v, in terms of the total weights of the edges in the path. We can find the shortest path between any two nodes using Dijkstra's algorithm which has a complexity of O( | V | log( | V | ) + | E | ).

Mention one advantage and one disadvantage of both the measures when used to compute the similarity between two nodes.

Reference no: EM133217983

Questions Cloud

Cloud-based services for hosting to reduce up- front : Intending to use cloud-based services for hosting to reduce up- front costs and improve scalability and analysing and modelling the planned system

What are behavioral observation scales : CNL-523: Assessment, Tests, and Measurements Assignment - Career Counseling Assessments, Grand Canyon University - What are behavioral observation scales

Understand in order to become professionals : Understand in order to become professionals in the computing field - Perform research to find the other areas that goes beyond just a google search

Write paper about the significance of intelligence testing : Write a 750-1,000-word paper about the significance of intelligence testing in an academic/educational or other setting

Find the shortest path between any two nodes : Find the shortest path between any two nodes using Dijkstra's algorithm which has a complexity of O( | V | log( | V | ) + | E | ).

Advantages and disadvantages of the systems : Examine the advantages and disadvantages of the systems based on the information and communication technology utilization in an organization (ICT).

Why the end result and nature of change would be appropriate : Explain why the end result and nature of change would be appropriate for the company in the scenario using Balogun and Hope-Hailey's model

What is a command to perform using redirection : What is a command to perform using redirection of output, You wish to add the contents of file notes (in your current directory) to the file allnotes

What specific skills do you hope to obtain or develop : Goals for The Practicum Discussion - What specific skills do you hope to obtain or develop? How do you want to be different at the end of this clinical rotation

User Account

All Pages