Using the theorems from Graph and Digraphs 4ed by G. Chartrand and L. Lesniak:
1 - (a) Let G a graph of order n such that deg v greater than or equal to (n-1)/2 for every v element of V(G).
Prove that G is connected.
(b) Examine the sharpness of the bound in (a).
2 - Prove the every graph G has a path of length sigma

Given an example of squared roots:
Let x be a real number such that x > 0. Then there is a positive real number y such that y2 = y?y = x
Let S = {s є R: s>0 and s2bounded above since, x+1 is an upper bound for S. Let y be the l

If run by itself, an I/O bound program spends more time waiting for I/O than using the processor and vice versa for the processor-bound. Given a short-term scheduling algorithm favoring those programs that have used little processor time in the recent past. Explain why this algorithm favors I/O bound programs and yet does not

Two planes leave simultaneously from the same airport, one flying due north and the other flying due east. The north bound plane is flying 50 miles per hour faster than the east bound plane. After 3 hours the planes are 2,440 miles apart. Find the speed of each plane.
I made a guess at it because I really don't know how to figu

The problem is to determine a lower bound for the radius of convergence for the two following equations. I am able to get p(x) and q(x) for both equations, but I'm confused on how to proceed. I would like to see the problem worked out and what the lower bound is.
Bessel's Equation:
Centered at 1
what I believe are p(x