Applications of Graph Theory in Real Life Sharathkumar.A‚ Final year‚ Dept of CSE‚ Anna University‚ Villupuram Email: kingsharath92@gmail.com Ph. No: 9789045956 Abstract Graph theory is becoming increasingly significant as it is applied to other areas of mathematics‚ science and technology. It is being actively used in fields as varied as biochemistry (genomics)‚ electrical engineering (communication networks and coding theory)‚ computer science (algorithms and computation) and operations
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Demand and Supply I Learning Objective:- Demand • Explain the concepts of demand • Explain the law of demand • Distinguish between movement along and shift of the demand curve • Analyse the effects of changes in the price & the non-price determinants of demand INTRODUCTION Supply and demand are the two words that economists use most often. INTRODUCTION MARKETS • Buyers determine demand. • Sellers determine supply. Demand • Demand:- quantity which people are willing and able to buy at
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Study Guide to accompany Canadian Business and the Law‚ 5th edition Chapter 5 CHAPTER 5 AN INTRODUCTION TO CONTRACTS Objectives After studying this chapter‚ you should have an understanding of • the general concept of a contract • the legal factors in the contractual relationship • the business factors influencing the formation and performance of contracts Learning Outcomes • • • • Understand the meaning of a contract (page 101) Understand when negotiations result in a contract (page 105)
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Trenerry §5 Graph Theory Loosely speaking‚ a graph is a set of dots and dot-connecting lines. The dots are called vertices and the lines are called edges. Formally‚ a (finite) graph G consists of A finite set V whose elements are called the vertices of G; A finite set E whose elements are called the edges of G; A function that assigns to each edge e ∈ E an unordered pair of vertices called the endpoints of e. This function is called the edge-endpoint function. Note that these graphs are not related
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Graphs 1‚ 2‚ 3‚ and 4 show the waveforms for the flute‚ violin‚ piano‚ and oboe. The Fourier Series can be used to explain why each of the instruments have their own unique sound. The flute‚ violin‚ piano and oboe have different combinations of frequencies as each waveform is made of an unique combination of sine and cosine waves‚ and this creates distinct waveforms and allows each instrument to have a unique sound. Recall that the formula of the Fourier Series is f(x)=a_0+∑_(k=1)^∞▒(a_k cos〖πkx/T〗+b_k
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line on a Cartesian graph is approximately the distance y in feet a person walks in x hours. What does the slope of this line represent? How is this graph useful? Provide another example for your colleagues to explain. The slope of the line represents the speed of the person in feet per hour. This graph is useful because it provides a visual representation of the continuous motion of the person walking‚ something that could not provided by something like a bar graph. In a bar graph‚ the sheer number
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definitions of height and depth may vary from one book to another‚ I do include their definitions here‚ using the ones from the textbook. Definition. A path from node n1 to node nk is a sequence of nodes n1‚ n2‚ …‚ nk such that ni is the parent of ni+1 for 1 ≤ i < k. The length of a path is the number of edges in the path‚ not the number of nodes. Because the edges in a tree are directed‚ all paths are “downward”‚ i.e.‚ towards leaves and away from the root. The height of a node is the length of the
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PERIOD____ PICTURES & GRAPHS A. The Atom 1. Calculate the average atomic mass using the spectrum below. 2. Answer the questions regarding the energy level diagram shown. a) The emission lines for the series above are in the IR‚ Vis and UV regions. Match the series with the region and justify your choice (FYI – AP you do not need to memorize the names of the series. IB will need to know then for next year). b) Would the wavelength of light be longer or shorter for lithium for an n=2 to n=1 transition than
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increased‚ the acceleration also increases. The acceleration is directly proportional to the sine of the incline angle‚ (. A graph of acceleration versus sin( can be extrapolated to a point where the value of sin( is 1. When sin is 1‚ the angle of the incline is 90°. This is equivalent to free fall. The acceleration during free fall can then be determined from the graph. Galileo was able to measure acceleration only for small angles. You will collect similar data. Can these data be used in
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V. Adamchik 1 Graph Theory Victor Adamchik Fall of 2005 Plan 1. Basic Vocabulary 2. Regular graph 3. Connectivity 4. Representing Graphs Introduction A.Aho and J.Ulman acknowledge that “Fundamentally‚ computer science is a science of abstraction.” Computer scientists must create abstractions of real-world problems that can be represented and manipulated in a computer. Sometimes the process of abstraction is simple. For example‚ we use a logic to design a computer circuits. Another example - scheduling
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