9 citations · 15 across the 6 of their papers we have counts for
7 papers
The change-making problem for six coin values and beyond
Cornelia A. Van Cott, Qiyu Zhang
The change-making problem asks: given a positive integer and a collection of integer coin values , what is the minimum number of coins needed t…
Unshuffling a deck of cards
Cornelia A. Van Cott, Katie Wang
We investigate the mathematics behind unshuffles, a type of card shuffle closely related to classical perfect shuffles. To perform an unshuffle, deal all the cards alternately into…
On the nonorientable 4-genus of double twist knots
Jim Hoste, Patrick D. Shanahan, Cornelia A. Van Cott
We investigate the nonorientable 4-genus of a special family of 2-bridge knots, the twist knots and double twist knots . Because the nonorientable 4-genus is bounded…
A look at generalized perfect shuffles
Samuel Johnson, Lakshman Manny, Cornelia A. Van Cott +1
Standard perfect shuffles involve splitting a deck of cards into two stacks and interlacing the cards from the stacks. There are two ways that this interlacing can be done, co…
On a Nonorientable Analogue of the Milnor Conjecture
Stanislav Jabuka, Cornelia A. Van Cott
The nonorientable 4-genus of a knot is the smallest first Betti number of any nonorientable surface properly embedded in the 4-ball, and bounding the knot . We stud…
The four-genus of connected sums of torus knots
Charles Livingston, Cornelia A. Van Cott
We study the four-genus of linear combinations of torus knots: aT(p,q) # -bT(p',q'). Fixing positive p, q, p', and q', our focus is on the behavior of the four-genus as a function…