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Aug 5, 2024 · Graph theory is a branch of mathematics that studies the properties and applications of graphs. A graph is a collection of vertices (also called nodes) connected by edges (also called links). Graphs are used to model pairwise relations between objects, making them a powerful tool for representing and analyzing complex systems in various fields.
- What Is A graph?
- Types of Graphs
- Solved Examples on Graph
In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things. Here, for instance, we can represent the data given below, the type and number of school supplies used by students in a class, on a gra...
Pictograph
The representation of the information through pictures is called pictograph. A certain number of items is represented by each picture. For example, you can use a picture of a cricket bat to display how many cricket bats are sold by a shop during a certain week. In this pictograph, 1 picture of the cricket bat represents 4 cricket bats. So, according to the graph, 12 bats (4 + 4 + 4) were sold on Tuesday.
Bar Graph
A bar graph is the representation of numerical data by rectangles (or bars) of equal width and varying height. The gap between one bar and another is uniform throughout. Bar graphs can be either horizontal or vertical. The height or length of each bar relates directly to its value.
Line Graph:
A line graphuses dots connected by lines to show the changes over a period of time.
Example1: State whether the given statements are true or false. 1. In a bar graph, the width of bars may not be equal. 2. In a bar graph, bars of uniform width can be drawn both vertically as well as horizontally. 3. In the bar graph, the gap between two consecutive bars may not be the same. 4. In the bar graph, each bar represents only one value o...
Oct 2, 2019 · A graph is a collection of vertices and edges that represents relationships. Edges of a graph might have weights indicating the strength of that link between vertices. Graph theory is the study of ...
Graph Theory, in discrete mathematics, is the study of the graph. A graph is determined as a mathematical structure that represents a particular function by connecting a set of points. It is used to create a pairwise relationship between objects. The graph is made up of vertices (nodes) that are connected by the edges (lines).
- A graph theory is a study of graphs in discrete mathematics. The graphs here are represented by vertices (V) and edges (E). A graph here is symboli...
- A graph that has finite number of vertices and edges is called finite graph.
- A null graph has no edges.
- If the degree of vertex is 2, then it is an even vertex.
- A simple graph is undirected and does not have multiple edges.
Graph Theory studies how things are connected, through a network of points and lines. A graph looks like this: An Example Graph. Yes, it is called a "graph"... but it is NOT this kind of graph: They are both called "graphs". But they are different things. Just how it is. This subject explores how these points and lines relate to each other, and ...
Jul 22, 2024 · A graph is a type of non-linear data structure made up of vertices and edges. Vertices are also known as nodes, while edges are lines or arcs that link any two nodes in the network. In more technical terms, a graph comprises vertices (V) and edges (E). The graph is represented as G (E, V). 7.
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Nov 14, 2024 · The word "graph" has (at least) two meanings in mathematics. In elementary mathematics, "graph" refers to a function graph or "graph of a function," i.e., a plot. In a mathematician's terminology, a graph is a collection of points and lines connecting some (possibly empty) subset of them. The points of a graph are most commonly known as graph vertices, but may also be called "nodes" or simply ...
