How do you represent an edge on a graph?

The edges of a graph are represented as ordered or unordered pairs depending on whether or not the graph is directed or undirected . Edges of a graph might have weights indicating the strength of that link between vertices.

What is the time complexity of looking up an edge in a graph with n vertices represented using adjacency lists?

For a given graph, in order to check for an edge we need to check for vertices adjacent to given vertex. A vertex can have at most O(|V|) neighbours and in worst can we would have to check for every adjacent vertex. Therefore, time complexity is O(|V|) .

Can a graph have 0 edges?

Nope, a simple graph can have no edges (i.e. the set of edges is empty). This is simply a graph consisting of isolated vertices (sometimes called an empty graph).

What will be the time complexity to find the number of edges in a graph when graph is represented in form of an adjacency matrix is?

Discussion Forum

Que.	The time complexity to calculate the number of edges in a graph whose information in stored in form of an adjacency matrix is ____________
b.	O(E^2)
c.	O€
d.	O(V^2)
	Answer:O(V^2)

What is linked representation of graph?

Linked Representation An adjacency list is maintained for each node present in the graph which stores the node value and a pointer to the next adjacent node to the respective node. If all the adjacent nodes are traversed then store the NULL in the pointer field of last node of the list.

What is EDGE list representation?

An edge list is a data structure used to represent a graph as a list of its edges. An (unweighted) edge is defined by its start and end vertex, so each edge may be represented by two numbers. The entire edge list may be represented as a two-column matrix.

Can a graph have 0 nodes?

A graph with zero nodes is generally referred to as the null graph. The term empty graph usually refers to a graph with no edges (but possibly some nodes).

Can a graph have 0 vertices?

A graph with only vertices and no edges is known as an edgeless graph. The graph with no vertices and no edges is sometimes called the null graph or empty graph, but the terminology is not consistent and not all mathematicians allow this object.

What is linked representation?

In the linked representation, a sequenceis a (reference to) an object, which is either an empty node, representing the empty sequence, or a cons node with a field of type T containing the first element of the sequence and a field of type Seq containing a pointer to the first node in the rest of the sequence.

What is graph explain different representation of graph?

The graph is a non-linear data structures. This represents data using nodes, and their relations using edges. A graph G has two sections. The vertices, and edges. Vertices are represented using set V, and Edges are represented as set E.