6. In Java create an algorithm for an undirected graph with n vertices and m edges that... - Takes as a parameter some integer k - Returns the maximum induced subgraph where each vertex of that subgraph has a degree greater than or equal to k (or returns null if no such subgraph exists) - Operates in O(n + m) time

6. In Java create an algorithm for an undirected graph with n vertices and m edges that... - Takes as a parameter some integer k - Returns the maximum induced subgraph where each vertex of that subgraph has a degree greater than or equal to k (or returns null if no such subgraph exists) - Operates in O(n + m) time

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter8: Arrays And Strings

Section: Chapter Questions

Problem 24PE

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Write a Program to All-pairs shortest path on a line. Given a weighted line graph (undirected connected graph, all vertices of degree 2, except two endpoints which have degree 1), devise an algorithm that preprocesses the graph in linear time and can return the distance of the shortest path between any two vertices in constant time
Create an algorithm that, given a directed graph g = (v e) and a distinguished vertex s v, finds the shortest path from s to v for each v v. If g contains n vertices and e edges, your method must execute in o(n + e) time.
2 Describe an algorithm (in words or pseudo code) for the following computationalproblem:Input: A weighted undirected graph G = (V;E) with weights w(u; v) for every edge(u; v) and an edge e = (u1; v1) in the graph G (assume that different edges in G havedifferent weights).Output: Yes if e is in the minimum spanning tree of G; Otherwise, output No.
In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject to certain constraints. in its simplest form, it is a way of coloring the vertices of a graph such that no two adjacent vertices share the same color; this is called a vertex coloring.", Wikipedia a) Apply your algorithm in the graph below. What is the accuracy ratio? b) Show that the performance ratio of your algorithm can go unbounded above or never at all.
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