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
Premium Graph theory
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
Premium Plot Analytic geometry
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
Premium Musical instrument Music Sound
Misleading Graphs Team C Introduction to Statistics—QNT/273 February 7‚ 2011 Jeffrey McDonough Misleading Graphs “Graphs give a visual representation that enables readers to analyze and interpret data more easily than they could simply by looking at numbers. However‚ inappropriately drawn graphs can misrepresent the data and lead the reader to false conclusions” (Bluman‚ 2009‚ p.76). Some methods used by graph makers to mislead consumers are truncated axis starting points and using two
Free Dimension Cartesian coordinate system Number
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
Premium Graph theory
Graphs and Function What is the relation between the graphs and function and how was it applied in the real world? Graphs are frequently used in national magazines and newspaper to present information about things such as the world’s busiest airports (O’Hare in China is first‚ Heathrow in London is sixth)‚ about the advertising-dollar receivers in the United States (newspaper are first‚ radio is fourth) and about NCAA men’s golf team title winner (Yael is first‚ Houston is second). The
Premium Mathematics Function Polynomial
NAME_________________________________ STAMP________________ 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
Premium Acid dissociation constant Chemical reaction Chemical kinetics
Tree definitions If you already know what a binary tree is‚ but not a general tree‚ then pay close attention‚ because binary trees are not just the special case of general trees with degree two. I use the definition of a tree from the textbook‚ but bear in mind that other definitions are possible. Definition. A tree consists of a (possible empty) set of nodes. If it is not empty‚ it consists of a distinguished node r called the root and zero or more non-empty subtrees T1‚ T2‚ …‚ Tk such that there
Premium Graph theory Tree
Graph theory - the study of graphs and networks‚ is often considered part of combinatorics‚ but has grown large enough and distinct enough‚ with its own kind of problems‚ to be regarded as a subject in its own right.[12] Graphs are one of the prime objects of study in discrete mathematics. They are among the most ubiquitous models of both natural and human-made structures. They can model many types of relations and process dynamics in physical‚ biological and social systems. In computer science‚
Premium Mathematics
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
Premium Analytic geometry Regression analysis Angle