Ma/CS 6a October 20, 2010
Generating random partitions by recursion
Combinatorial proofs of recursions for the numbers of certain objects can lead to methods of generating a list of all objects (with certain parameters) or of selecting random
objects.
For
Ma/CS 6a Addendum to Problem Set 5
Here is the bipartite graph G0 for Problem 1. It would be best if you print this out
and turn it in with your work. I want to see a maximum matching M and the results of
the labeling procedure w.r.t. M . I dont care if y
Ma/CS 6a Dec. 2, 2013
Rotations of the cube as matrices
We may take the cube to be the convex hull of the eight vertices (1, 1, 1) in R3 . The
origin is at the center. The centers of the six faces are e1 = (1, 0, 0), e2 = (0, 1, 0),
and e3 = (0, 0, 1). Th
Certicate of Primality
awarded to
12345678900000000017
February 14, 2000, Pasadena, CA
Proof: Let n = 12345678900000000017. Check that
n 1 = 24 7 11 19697 508749721429
and that all factors on the right are primes. It is lucky that I was able to
guess th
Introduction To Discrete Math
Instructor: Mohamed Omar
Assignment 4
Due: Monday Feb. 27, 2012. 11:59pm
Math 6b
For all problems except No Collaboration problems, you are allowed to use the textbook,
class notes, and other book references. For No Collabora
MATH 6B ASSIGNMENT 5
DUE: FRIDAY MARCH 9, 12:59PM
(1) Consider the complete bipartite graph K4,4 with vertex partition (A, B )
where A = cfw_a, b, d, f , B = cfw_g, h, i, j . Weights are placed on edges as
follows:
cag = 2 cah = 7 cai = 1 caj = 2
cbg = 3