Bar Graphs Bar Graphs A bar chart or bar graph is a chart with rectangular bars with lengths proportional to the values that they represent. The bars can be plotted vertically or horizontally. A vertical bar chart is sometimes called a column bar chart.Bar charts provide a visual presentation of categorical data.[1] Categorical data is a grouping of data into discrete groups, such as months of the year, age group, shoe sizes, and eye colors. In a column bar chart, the categories appear along the horizontal axis; the height of the bar corresponds to the value of each category.Bar charts can also be used for more complex comparisons of data with grouped bar charts and stacked bar charts. These bars are color coded to represent a particular grouping. For example, a business owner with two stores might make a grouped bar chart with different colored bars to represent each store: the horizontal axis would show the months of the year and the vertical axis would show the revenue. Alternatively, a stacked bar chart could be used. The stacked bar chart stacks bars that represent different groups on top of each other. The height of the resulting bar shows the combined result of the groups.A bar chart is very useful for recording certain information whether it is continuous or not continuous data. Bar charts also look a lot like a histogram. They are often mistaken for each other.The first bar graph appeared in the 1786 book The Commercial and Political Atlas, by William Playfair (1759-1823). Playfair was a pioneer in the use of graphical displays and wrote extensively about them. Know More About :- Graph the Linear Equation

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Intersection graph :- An intersection graph is a graph that represents the pattern of intersections of a family of sets. Any graph may be represented as an intersection graph, but some important special classes of graphs may be defined by the types of sets that are used to form an intersection representation of them.For an overview of the theory of intersection graphs, and of important special classes of intersection graphs. Interval graph :- An Interval graph is the intersection graph of a multiset of intervals on the real line. It has one vertex for each interval in the set, and an edge between every pair of vertices corresponding to intervals that intersect. The mathematical theory of interval graphs was developed with a view towards applications by researchers at the RAND Corporation's mathematics department, which included young researchers—such as Peter C. Fishburn and students like Alan C. Tucker and Joel E. Cohen—besides leaders—such as Delbert Fulkerson and (recurring visitor) Victor Klee.[7] Cohen applied interval graphs to mathematical models of population biology, specifically food webs. Types of vertices In graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set of vertices and a set of edges (unordered pairs of vertices), while a directed graph consists of a set of vertices and a set of arcs (ordered pairs of vertices). From the point of view of graph theory, vertices are treated as featureless and indivisible objects, although they may have additional structure depending on the application from which the graph arises; for instance, a semantic network is a graph in which the vertices represent concepts or classes of objects. The two vertices forming an edge are said to be the endpoints of this, and the edge is said to be incident to the vertices. A vertex w is said to be adjacent to another vertex v if the graph contains an edge (v,w). The neighborhood of a vertex v is an induced subgraph of the graph, formed by all vertices adjacent to v. The degree of a vertex in a graph is the number of edges incident to it. An isolated vertex is a vertex with degree zero; that is, a vertex that is not an endpoint of any edge. A leaf vertex (also pendant vertex) is a vertex with degree one. In a directed graph, one can distinguish the outdegree (number of outgoing edges) from the indegree (number of incoming edges); a source vertex is a vertex with indegree zero, while a sink vertex is a vertex with outdegree zero. Read More About :- Real Numbers chart

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