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Prove for every graph G of order n, that n/B(G)<=X(G)<=n+1-B(G).
X(G) is the minimum integer k for which a graph G is k-colorable is called the vertex chromatic number
In the page 82 B(G) is defined like independent sets like you say but in the page 187 it other kind of B and it is define like Betti number and it is defined below
B(G) is the Betti number of the graph G of order n and size m having k components and it is defined as B(G)=m-n+k.
You can see on the page 187 of "Graph and Digraphs" 4 edition of G Chartrand and L. Lesniak.
Please can you explain what does B(G) mean and draw a graph.
Write a linear regression equation for these data and forecast how much money Robert will win if he spends $28.
A function y = f(x) whose graph in the xy-plane, when rotated around the x-axis
Probability and chance A prison has 20 balls, 10 black and 10 white. The prisoner is to arrange the balls in 2 boxes. All of the balls must be used and there must be at least one ball in each box.
Find the slope of the tangent line to the graph of y= ln[x*e^x] at the point where x=3.
Can the researcher’s claim that their drug was successful and describe your answer.
At the first tri-city meeting, there were 8 people from town A, 7 people from town B, and 5 people from town C
Find the amount of the winning bid if there were 7 bidders.
Find the percentage of members spends more than $140 in a year?
Probability of Lamp Failure, A lamp has two bulbs, each of a type with an average lifetime of 6 hours. The probability density function for the lifetime of a bulb
Now choose a linear inequality of the form 5y 2x - 8. What are the major differences between the linear equation graph and the linear inequality graph?
A manufacturing cell claims they make 500 parts per day. D etermine if their claim is correct.
Calculate the expected value. How much should the company charge as an average premium so that it breaks even on its claim cost?
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