What is the space complexity of a graph represented by an adjacency list V is a set of vertices and E is a set of edges in this graph?
Table of Contents
- 1 What is the space complexity of a graph represented by an adjacency list V is a set of vertices and E is a set of edges in this graph?
- 2 What is the space complexity of adjacency lists?
- 3 What is the maximum memory units necessary in its adjacency list?
- 4 What determines the size of adjacency matrix of a graph?
- 5 When should you use an adjacency matrix VS list?
What is the space complexity of a graph represented by an adjacency list V is a set of vertices and E is a set of edges in this graph?
I read here that for Undirected graph the space complexity is O(V + E) when represented as a adjacency list where V and E are number of vertex and edges respectively.
What is the space complexity of adjacency lists?
Explanation: Space complexity for adjacency matrix is always O(V*V) while space complexity for adjacency list in this case would be O(V). Explanation: The maximum edges a vertex can have is V-1.
What is the space complexity of representing a graph in terms of an adjacency list?
In an undirected graph, if vertex j is in list then vertex i will be in list . The space complexity of adjacency list is O(V + E) because in an adjacency list information is stored only for those edges that actually exist in the graph.
How much storage does the adjacency matrix require?
Because each entry in the adjacency matrix requires only one bit, it can be represented in a very compact way, occupying only |V |2 / 8 bytes to represent a directed graph, or (by using a packed triangular format and only storing the lower triangular part of the matrix) approximately |V |2 / 16 bytes to represent an …
What is the maximum memory units necessary in its adjacency list?
The O(|V |2) memory space required is the main limitation of the adjacency matrices. For example, on a GPU device with 4 GB of DRAM, graphs that can be represented through an adjacency matrix can have a maximum of only 32,768 vertices (which, for actual graph datasets, is considered restrictive).
What determines the size of adjacency matrix of a graph?
The size of adjacency matrix is equal to the number of vertices in the graph. It is a square matrix (that is the number of rows is equal to the number of columns).
Which is better adjacency list or adjacency matrix for graph problem?
Adjacency lists are a compact way of representing only existing edges. Adjacency matrices on the other hand use more space in order to provide constant lookup time. Since every possible entry exists you can check for the existence of an edge in constant time using indexes.
Should I use adjacency matrix or list?
It is recommended that we should use Adjacency Matrix for representing Dense Graphs and Adjacency List for representing Sparse Graphs. Note: Dense Graph are those which has large number of edges and sparse graphs are those which has small number of edges.