Introduction in Graph Theory (BASIC CONCEPTS) BASIC CONCEPTS We used decision trees in Unit DT and used them to study decision making. However‚ we did not look at their structure as trees. In fact‚ we didn’t even define a tree precisely. What is a tree? It is a particular type of graph‚ which brings us to the subject of this unit. What is a Graph? There are various types of graphs‚ each with its own definition. Unfortunately‚ some people apply the term “graph” rather loosely‚ so
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DESCRIBING GRAPHS AND CHARTS The function of a line graph is to describe a TREND pictorially. You therefore should try and describe the trend in it. If there are many lines in the graph(s)‚ then just generally describe the trend. If there is only one or two‚ then use more detail. So‚ describe the movement of the line(s) of the graph giving numerical detail at the important points of the line. To describe the movement‚ there is some language which will always be useful. Below is a list of language
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Graphs - Introduction Terminology Graph ADT Data Structures Reading: 12.1-12.2 COSC 2011‚ Summer 2004 Definition • A graph is a pair (V‚ E)‚ where – V is a set of nodes‚ called vertices – E is a collection of pairs of vertices‚ called edges • Both are objects (i.e. store data) G E B F A Vertex city computer web page airport C D COSC 2011‚ Summer 2004 H Edge road cable hyperlink flight Example Applications • • • • • Electronic circuits – Printed circuit board – Integrated circuit Transportation
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Britain. The housing market is similar to any other markets which concludes with the buyers agreeing with the sellers on a certain price for the property. For the housing market the supply will always stay inelastic as prices are always changing. There are a number of different variables which can effect the demand and supply of the housing market such as the buyers ideal location of a home‚ somewhere which is suitable for raising a family or practicality reasons such as work. Most households need homes
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Graphs‚ Groups and Surfaces 1 Introduction In this paper‚ we will discuss the interactions among graphs‚ groups and surfaces. For any given graph‚ we know that there is an automorphism group associated with it. On the other hand‚ for any group‚ we could associate with it a graph representation‚ namely a Cayley graph of presentations of the group. We will first describe such a correspondence. Also‚ a graph is always embeddable in some surface. So we will then focus on properties of graphs
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1.2 Basics of Functions and Their Graphs Introduction to Relations Domain and Range of a Relation Any set of ordered pairs (x‚y) is called a relation in x and y. Furthermore‚ The set of first components in the ordered pairs is called the domain of the relation. The set of second components in the ordered pairs is called the range of the relation. Definition of Function and Vertical Line Test Definition of a Function Given a relation in x and y‚ we say “y is a function of x” if for every
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Details | Page number | 1.0 Article Summary | 3 | 2.0 Introduction | 3 | 3.0 Analysis | | 3.1 Demand and Supply | 4-6 | 3.2 Substitute | 6 | 3.3 Shortage | 7 | 3.4 Elasticity | 8-9 | 3.5 Price ceiling | 10 | 3.6 Consumer and producer surplus | 11-13 | 3.7 Tax | 13-14 | 4.0 Conclusion | 15 | References | 16-17 | | | 1.0 Article Summary The article “Consumers complain cooking oil sold at higher than fixed price” which was published on November 27‚ 2012 talks about
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------------------------------------------------- ------------------------------------------------- Speed Speed is defined as a measure of the distance an object travels in a given length of time. The average speed of an object can be determined from the equation below: Thus‚ if a car travels 100 meters in 5 seconds its average speed can be calculated as; Average speed = 100/5 = 20 meters per second Average speed is used to give the speed of an object over a given interval of time‚ if
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Sabrina Lebron December 2‚ 2010 Professor Ann Impens Week 1 Assignment The chart of graph selected comes from the US Centers for Disease Control and Preventions MMWR in the article‚ "Heat Illness Among High School Athletes --- United States‚ 2005--2009" http://www.cdc.gov/mmwr/preview/mmwrhtml/mm5932a1.htm?s_cid=mm5932a1_w Identify the type of chart or graph and what this type of chart or graph usually depicts. At the bottom of the article‚ there is a verticle bar chart of the Number
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The diagram shows Japan can produce camcorders at lower costs - its supply curve is lower than the UK. This means that Japan has a comparative advantage in producing camcorders. In the absence of international trade between the two countries‚ British consumers would have to buy at a higher equilibrium price than Japanese consumers. Since Japan is more efficient‚ it makes sense for Japan to specialise in production of camcorders and export their surplus output to the UK at a lower free trade
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