12/05/23
For each v ∈ V either deg(v) = 1 or deg(v) ≥ m, where m is a fixed positive integer, m ≥ 2, and there is a vertex of degree at least m. What is the smallest value possible for n
Let T = (V, E) be a tree where |V | = n. Suppose that for each v ∈ V either deg(v) = 1 or deg(v) ≥ m, where m is a fixed positive integer, m ≥ 2, and there is a vertex of degree at least m. What is...
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12/04/23
Discrete Math: Functions
Prove or disprove the following: If f is 1-1 and g is onto, then gof is onto
Prove or disprove the following: If gof exists and f inverse, g inverse exist, then (gof)^-1 = f^-1 o g^-1
10/10/23
Using digits in (0,1,.....9}, find the number of 3 digit sequences for each case:
(a) The digits increase in size.(b) The digits decrease in size.(c) There are no decreases in the sequence.
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