Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Why the worst runtime is O(|V|^2 + |E|) Consider this implementation of Dijkstra's algorithm using a SpecialPQ with the following asymptotic runtimes for each operation

image text in transcribed

Why the worst runtime is O(|V|^2 + |E|)

Consider this implementation of Dijkstra's algorithm using a SpecialPQ with the following asymptotic runtimes for each operation in terms of N, the size of the priority queue. add is in (N). removeMin is in O(N). contains is in (1). changePriority is in O(1). Which of the following best describes the worst-case runtime bound for this implementation of Dijkstra's algorithm in terms of the number of vertices |V| and the number of edges |E|? dijkstra (Graph graph, Vertex start) { Map distTo = new HashMap(); Map edge To = new HashMap(); PriorityQueue perimeter = new SpecialPQ>(); perimeter.add(start); while (!perimeter.isEmpty()) { Vertex from = perimeter.removeMin(); for (Edge edge : graph.neighbors (from)) { Vertex to = edge.to(); double oldDist = distTo.getOrDefault(to, Double. INFINITY); double newDist = distTo.get(from) + edge.weight(); if (newDist

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Information Modeling And Relational Databases

Authors: Terry Halpin, Tony Morgan

2nd Edition

0123735688, 978-0123735683

More Books

Students also viewed these Databases questions