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Line Graph

Looking for the line graph examples you can simply go to the Line Graphs solution of ConceptDraw STORE to get those which were previously created especially for the ConceptDraw PRO users in order to simplify their work of making such charts.

The previously Line Graphs solution contains five stencil objects that are the templates of line graphs named as “Line Graph — Relative Price Changes”, “Line Graph — Number of Airlines Departures in the Given Years”, “Line Graph — France Export of Goods and Services”, “Line Graph — Spets Walked in a Week” and “Line Graph — Percent of Students a 36 on ACT”.

You can also find some more samples of line graphs within the previously mentioned product of CS Odessa — ConceptDraw STORE. They are: “Line Graph — Circuit Efficiency Erlang B”, “Line Graph — 1918 Spanish Flu Waves”, “Veteran Point in Time Counts, 2009—2012” and “Wait Time for Treatment in Hospital Emergency Department”.

The line graph of an undirected graph G in the mathematical discipline of graph theory is another graph L(G) used for representing different adjacencies between all the edges of G. The term “line graph” is known to be originally coming from a paper by Harary & Norman, although both Whitney and Krausz used this construction before.

Other terms that are used for the line graph are known to be including the derivative, the covering graph, the conjugate, the edge-to-vertex dual, the representative graph, the edge graph, the ϑ-obrazom, the interchange graph, the derived graph and the adjoint graph.

Hassler Whitney was the one who proved that with only one exceptional case the structure of a so-called connected graph G can be recovered from its line graph completely. A lot of other properties of the line graphs are known to be following by translating the properties of the underlying graph from vertices into edges. Thus, by Whitney's theorem, the very same translation can also be done in any other direction.

All the line graphs are known to be claw-free. All the line graphs of bipartite graphs are known to be perfect. Any line graph can be characterized by nine forbidden subgraphs, being recognized in the linear time. There are many generalizations of the line graphs that have also been studied, including the line graphs of multigraphs, the line graphs of line graphs, the line graphs of weighted graphs and the line graphs of hypergraphs.

As with claw-free graphs, every connected line graph L(G) with an even number of the edges has a perfect matching. This means that in case the underlying graph G has an even number of edges, then its edges can be partitioned into the two-edge paths. All the line graphs of trees are known to be exactly the claw-free block graphs. The mentioned graphs have been used for solving a problem in an extremal graph theory.

Constructing a graph with a given number of vertices and edges whose largest tree induced as a subgraph is as small as possible. Although the line graph of a bipartite graph is perfect, it still should not be bipartite. The line graphs of the bipartite graphs form one of the key building blocks of the perfect graphs that are used in the proof of the strong perfect graph theorem.

The mentioned strong perfect graph theorem in graph theory is a forbidden graph characterization of the perfect graphs as those that have neither odd antiholes (complements of odd holes) nor odd holes (odd-length induced cycles) as it was conjectured by Claude Berge in 1961.

The rook's graphs, the line graphs of the complete bipartite graphs are all a special case of the mentioned graphs. Being characterized with only one exception by their numbers of edges, a number of shared neighbors for non-adjacent and adjacent points, and numbers of vertices the line graphs of the complete graphs can be made.

One known exceptional case is L(K4,4). It shares its parameters with the so-called Shrikhande graph. When both of the sides of the bipartition are known to be having the same number of vertices, then such graphs are known to be strongly regular.

Any Shrikhande graph in the mathematical field of graph theory is a named graph that was discovered in 1959 by S. S. Shrikhande. Being a strongly regular graph, it has 48 edges and 16 vertices, each of the vertexes having degree 6. Every single pair of nodes is known to be having exactly two other neighbors, whether the pair of nodes is disconnected or not.

Speaking more generally, a graph G is known to be a line perfect graph in case L(G) is a perfect graph. The line perfect graphs are exactly the graphs that do not contain a simple cycle of odd length greater than three. A graph is a line perfect one only in case each of its biconnected components is either of the form K4 (the so-called tetrahedron) or K1,1,n (a book of one or more than one triangles all share one common edge), or bipartite. Every line of the perfect line graph is known to be perfect itself.

No matter which of the mentioned graphs you want to create, you can make sure that the result will be simply perfect by downloading ConceptDraw PRO diagramming and drawing software getting another one called ConceptDraw STORE in order to create truly professionally looking drawings.

Line Graph

Example 1. Line Graph in ConceptDraw STORE

The Line Graphs solution that can be found in the ConceptDraw STORE application developed by the specialists of CS Odessa is the key to making a great looking as well as the smart looking lime graphs. Providing all the ConceptDraw PRO users with the so useful examples of the Line Graphs, it can simplify any work of creating the needed drawings making it possible to finish with them within only a few minutes.

Line Graph

Example 2. Line Graph in ConceptDrae PRO

Having “Example 1: Line Graph — Relative Price Changes”, “Example 2: Line Graph — Number of Airlinges Departures in the Given Years”, “Example 3: Line Graph — France Export of Goods and Services”, “Example 4: Line Graph — Spets Walked in a Week”, “Example 5: Line Graph — Percent of Students a 36 on ACT”, as well as other templates, such as the “Line Graph — Circuit Efficiency Erland B”, “Line Graph — 1918 Spanish Flu Waves”, “Veteran Point in Time Counts, 2009-2012” and “Wait Time for Treatment in Hospital Emergency Department” any ConceptDraw PRO user can edit any mentioned above sample to make their own drawing.







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Line Chart Examples

The Line Graphs solution from Graphs and Charts area of ConceptDraw Solution Park contains a set of examples, templates and design elements library of line and scatter charts. Use it to draw line and scatter graphs using ConceptDraw PRO diagramming and vector drawing software for illustrating your documents, presentations and websites.Line chart example - Evolution of the Population
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How to Create a Line Chart

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When trying to figure out the nature of the problems occurring within a project, there are many ways to develop such understanding. One of the most common ways to document processes for further improvement is to draw a process flowchart, which depicts the activities of the process arranged in sequential order — this is business process management. ConceptDraw PRO is business process mapping software with impressive range of productivity features for business process management and classic project management. This business process management software is helpful for many purposes from different payment processes, or manufacturing processes to chemical processes. Business process mapping flowcharts helps clarify the actual workflow of different people engaged in the same process. This samples were made with ConceptDraw PRO — business process mapping software for flowcharting and used as classic visio alternative because its briefly named "visio for mac" and for windows, this sort of software named the business process management tools. This flowchart diagram shows a process flow of project management. The diagram that is presented here depicts the project life cycle that is basic for the most of project management methods. Breaking a project into phases allows to track it in the proper manner. Through separation on phases, the total workflow of a project is divided into some foreseeable components, thus making it easier to follow the project status. A project life cycle commonly includes: initiation, definition, design, development and implementation phases. Distinguished method to show parallel and interdependent processes, as well as project life cycle relationships. A flowchart diagram is often used as visual guide to project. For instance, it used by marketing project management software for visualizing stages of marketing activities or as project management workflow tools. Created with ConceptDraw PRO — business process mapping software which is flowcharting visio alternative or shortly its visio for mac, this sort of software platform often named the business process management tools.business process flowcharts, flowchart symbols, process flow diagram, workflow diagram, flowchart maker
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Data Flow Diagram Model

Developing a software project supposes architecture first. To make it proper, you can use data flow diagram model in your current project. The data flow diagram represents the Model of small traditional production enterprise that is made using Yourdon and Coad notation. It shows how the data is transfered through a process. According to the notation of Yourdon and Coad a process is represented by circles and data stores are drawn using parallel lines. This DFD was created using the ConceptDraw Data Flow Diagrams solution. Using this solution one can visualize data flow accordingly to the rules of two basic notations used for data flow modeling.DFD Model of small traditional production enterprise
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Basic Diagramming

Create flowcharts, organizational charts, bar charts, line graphs, and more with ConceptDraw PRO.Line chart - US population growth
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How to Draw a Line Graph

In your work activity you need regularly draw the line graphs? And each time you ask yourself a question "How to Draw a Line Graph easier and faster?". The desire to automate the line graphs drawing process led to the creation of Line Graphs solution from Graphs and Charts area of ConceptDraw Solution Park.How to Draw a Line Graph
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Scatter Chart Analysis. Scatter Chart Example

This sample shows the Scatter Chart that displays the polls on the referendum 2014 in Scotland. On this Scatter Chart the data are represented as points with two values of variables in the Cartesian coordinates. The points are connected by lines. This diagram can be useful in different opinion polls, referendums, for creating the reports.Scatter Chart Analysis
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Picture Graph

A Picture Graph is a popular and widely used type of a bar graph, which represents data in various categories using the pictures. ConceptDraw PRO extended with Picture Graphs solution from the Graphs and Charts area of ConceptDraw Solution Park is the best software for fast and simple drawing professional looking Picture Graphs.Picture Graph
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Easy charting software comes with beautiful chart templates and examples. This makes it easy to create professional charts without prior experience.Chart Template
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Easy charting software comes with beautiful chart templates and examples. This makes it easy to create professional charts without prior experience.Frequency histogram example - Page load time
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