How many non-isomorphic 5-vertex connected planar graphs are
there? Use Sage
to produce / depict them....
How many non-isomorphic 5-vertex connected planar graphs are
there? Use Sage
to produce / depict them. Include your Sage code. A number alone
will receive no
credit.
How many colors are needed to color a planar graphs? Give a
proof that each planar graph can be colored with at most 6 colors.
(Hint:induction. Use the fact that each planar graph has a vertex
of degree no more than 5.) Please include all explanantion and
steps. Also draw the diagram too so i understand it better.
Thanks!
Long vs. short hedge, how to conduct them? Which contract to
use? How many contract should be used? How to calculate net price
received/paid by hedging? Payoff compared to not hedging?
Java code: Use Radix sort to sort them in alphabetic order. How
many passes would be made through the outer while loop? Trace the
contents of the list after each of these passes.
Define the efficiency of the following code fragment:
K
:= 1
repeat
J
:= 1
repeat
……..
J
:= J * 2
until
J >= N
K
:= K + 1
until
K >= N
1. Use the Fundamental Principle of Counting to find how many
possible 5-letter phrases can be made where each phrase has the
following qualities: It starts with two numbers and ends with three
letters, and the two numbers can’t be the same number.
Good examples: 87RFE 20JWJ Bad examples: 33UPD 11LPX
2. From a standard 52-card deck, how many ways can you be dealt
a 4-card hand that is a 3-of-a-kind of K’s? (exactly three K’s and
one other card)...