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- Maria Axenovich, Jacob Manske, Ryan R. Martin
- Order
- 2012

For a family ${{\cal F}}$ of subsets of [n] = {1, 2, ..., n} ordered by inclusion, and a partially ordered set P, we say that ${{\cal F}}$ is P-free if it does not contain a subposet isomorphic to P.… (More)

- Travis J. Smith, Jacob Manske, Michelle A. Mathiason, Kara J Kallies, Shanu N. Kothari
- Annals of surgery
- 2013

BACKGROUND
Percutaneous cholecystostomy tube (PCT) placement serves as a treatment option for acute cholecystitis in elderly and critically ill patients. The objective of this study was to compare… (More)

- Jeremy F. Alm, Roger D. Maddux, Jacob Manske
- Electr. J. Comb.
- 2008

Let $K_{N}$ denote the complete graph on $N$ vertices with vertex set $V = V(K_{N})$ and edge set $E = E(K_{N})$. For $x,y \in V$, let $xy$ denote the edge between the two vertices $x$ and $y$. Let… (More)

Collisions of Heq+ ions with neutral fullerenes have been studied as a function of projectile velocity (v approximate to 0.1-1.0 a.u.) and charge state (q = 1, 2). With increasing velocity, two… (More)

- Jeremy F. Alm, Jacob Manske
- Discrete Applied Mathematics
- 2013

Given X ? Z N , X is called a cyclic basis if ( X + X ) ? X = Z N , symmetric if x ? X implies - x ? X , and sum-free if ( X + X ) ? X = ? . We ask, for which m , N ? Z + can the set of non-identity… (More)

For n ∈ N, let [n] denote the integer set {0, 1, . . . , n − 1}. For any subset V ⊂ Z, let Hom(V ) = {cV + b : c ∈ N,b ∈ Z}. For k ∈ N, let Rk(V ) denote the least integer N0 such that for any N ≥ N0… (More)

- Jacob Manske, Maria Axenovich, +4 authors Eric Weber
- 2010

ii DEDICATION To M. and D., for making me who I am today. iii If people did not sometimes do silly things, nothing intelligent would ever get done. There's no ulterior practical purpose here. I'm… (More)

- Jacob Manske
- 2010

- Jeremy F. Alm, Jacob Manske
- Australasian J. Combinatorics
- 2013

We consider the chromatic numbers of unit-distance graphs of various annuli. In particular, we consider radial colorings, which are "nice" colorings, and completely determine the radial chromatic… (More)

- Travis J. Smith, Jacob Manske, Michelle A. Mathiason, Kara J Kallies, Shanu N. Kothari
- Annals of surgery
- 2015