2. (40 points) Solve the "instant insanity" game depicted Solve the "instant insanity" game depicted below by graph theoretic techniques based on your class project. 3. (20 points...
solve with steps 1. (20 points) True or false. Justify. Every planar graph is 4-colorable /2 The number of edges in a simple graph G is bounded by n(n 1) where n is the number of vertices. The number of edges of a simple connected graph G is at least n-1 where n is the number of vertices. Two graphs are isomorphic if they have the same number of vertices and 1) the same mumber of edges 1. (20 points)...
Question 2# (a) Draw diagrams for the graphs Gi and G2 with adjacency matrices below: A B C D E F A 0 0 2 0 0 1 B0 0 0 0 21 E0 21 0 0 0 F1 1 0 00 0 UV WXY Z (0 2 0 0 0 1 V2 01000 XO 0 0 0 0 YO01 0 2 (b) Graphs Gi and G2 are not property (i.e a property that would be preserved under isomorphism) that...
we need to determine if the vector field depicted in graph 1 and graph 2 are conservative by using the last 3 bullets points in the picture Project 1. Fundamental theorem of line integrals In our course we learned the fundamental theorem of line integrals: if F is a conservative vector field with potential f and C is a curve connecting point A to b, then f-dr = f(B)-f(A). Moreover it happens if and only if for any closed curve...
In this project, you will complete the entire game. Be certain to read the bulleted points below to ensure you have completed all of the required functionality. Copy ALL of the contents in the public_html/csci2447/project6 folder into the public_html/csci2447/project7 folder. This ensures that you will not overwrite your work for the previous project. You will do this for each project from here on out. If you do not do this, there is no way for me to grade your previous...
The Problem In this project your group will solve the following situation: A local business plans on advertising their new product by purchasing advertisements on the radio and on TV. The business plans to purchase at least 60 total ads and they want to have at least twice as many TV ads as radio ads. Radio ads cost $20 each and TV ads cost $80 each. The advertising budget is $4320. It is estimated that each radio ad will be...
Recall the definition of the degree of a vertex in a graph. a) Suppose a graph has 7 vertices, each of degree 2 or 3. Is the graph necessarily connected ? b) Now the graph has 7 vertices, each degree 3 or 4. Is it necessarily connected? My professor gave an example in class. He said triangle and a square are graph which are not connected yet each vertex has degree 2. (Paul Zeitz, The Art and Craft of Problem...
Use straight line depreciation instead of $140 3. (20 points) The Ons Company has the following cost information on its new project: Initial investment: $700 Fixed costs are $200 per year Variable costs: $3 per unit Depreciation: $140 per year Price: $8 per unit Discount rate: 12% Project life: 3 years Tax rate: 34% a) Calculate the accounting and financial break-even quantities. b) Draw on a graph how the accounting and financial break-even quantity would change as the price changes?...
For your Project, you will develop a simple battleship game. Battleship is a guessing game for two players. It is played on four grids. Two grids (one for each player) are used to mark each players' fleets of ships (including battleships). The locations of the fleet (these first two grids) are concealed from the other player so that they do not know the locations of the opponent’s ships. Players alternate turns by ‘firing torpedoes’ at the other player's ships. The...
QUESTION 3 [20M] Given the data below, where x is the number of hours playing online game, y is the student's class test marks Student Variable 10 20 12 40 80 60 50 a) Name the two most popular correlation coefficients. b) Which one will you use for the data presented in the above table and why? c) Calculate the correlation coefficient, r d) Make a scatter plot of the data. From the plot, does the word linear really provide...
10. Below are five true false questions. Each one is worth 2 point on your test. IF you incorrectly answer ALL of these questions, you will awarded 20 points (200% of possible points of this questions). a. The way to solve sequential games is to start at the final mover's choice and work backward. b. In sequential duopoly games (Stackelberg) there is always a second-mover advantage. In simultaneous games you can always find a Nash Equilibrium by finding players dominant...