Is there a function f : N → N such that, for all k ∈ N, every graph of minimum degree at least f (k) is k-connected?

if X be a limit point of set ECR, then every open interval containing infinitely many points of E

Find The minimum m such that GF (3m) has the primitive 20th root of unity.

Consider the domain D and a function f(x). Answer the questions below. D = {x €Z*|x?<100} fix) - 2x2-х -3 Suppose that a set Cis a codomain of the function f(x). What is the summation of the elements in C?

Show the following set is convex. x10 Determine a-cut sets of the above set for a=0.5, 0.8 and 0.9.

Let h(g₁, 92) be a continuous function through a nonempty, closed and bounded set S. Are these conditions necessary, sufficient, necessary and sufficient or neither necessary nor sufficient conditions to ensure that there exists points (a, b) and (c, d) in S where h has a minimum and a maximum value, respectively? Necessary and sufficient Sufficient, but not necessary Neither necessary nor sufficient Necessary, but not sufficient None of the above No answer

3

Prove that A does not have a maximum (or greatest element).