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authorchris <chris@susephone>2019-04-23 17:36:25 -0400
committerchris <chris@susephone>2019-04-23 17:36:25 -0400
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+@Article{briggscox17,
+ author = {Joseph Briggs and Christopher Cox},
+ title = {Inverting the {T}ur{\' a}n problem},
+ abstract = {Classical questions in extremal graph theory concern the asymptotics of $\operatorname{ex}(G, \mathcal{H})$ where $\mathcal{H}$ is a fixed family of graphs and $G=G_n$ is taken from a "standard" increasing sequence of host graphs $(G_1, G_2, \dots)$, most often $K_n$ or $K_{n,n}$. Inverting the question, we can instead ask how large $|E(G)|$ can be with respect to $\operatorname{ex}(G,\mathcal{H})$. We show that the standard sequences indeed maximize $|E(G)|$ for some choices of $\mathcal{H}$, but not for others. Many interesting questions and previous results arise very naturally in this context, which also, unusually, gives rise to sensible extremal questions concerning multigraphs and non-uniform hypergraphs.},
+
+ keywords = {pub},
+ journal = {Discrete Mathematics},
+ year = {2019},
+ month = {Jul.},
+ number = {7},
+ volume = {342},
+ pages = {1865-1884},
+}
+
+@Article{Bukh2018,
+ author = {Boris Bukh and Christopher Cox},
+ title = {On a fractional version of {H}aemers' bound},
+ abstract = {In this note, we present a fractional version of Haemers' bound on the Shannon capacity of a graph, which is originally due to Blasiak. This bound is a common strengthening of both Haemers' bound and the fractional chromatic number of a graph. We show that this fractional version outperforms any bound on the Shannon capacity that could be attained through Haemers' bound. We show also that this bound is multiplicative, unlike Haemers' bound.},
+ journal = {IEEE Transactions on Information Theory},
+ year = {2018},
+ keywords = {pub},
+}
+
+@Article{Cox2018,
+ author = {Christopher Cox and Derrick Stolee},
+ title = {Ramsey Numbers for Partially-Ordered Sets},
+ journal = {Order},
+ year = {2018},
+ month = {Nov.},
+ keywords = {pub},
+ volume = {35},
+ number = {3},
+ pages = {557-579},
+}
+
+@Article{BCDHKLMMNPS15choose,
+ author = {Berikkyzy, Zhanar and Cox, Christopher and Dairyko, Michael and Hogenson, Kirsten and Kumbhat, Mohit and Lidick{\'y}, Bernard and Messerschmidt, Kacy and Moss, Kevin and Nowak, Kathleen and Palmowski, Kevin and Stolee, Derrick},
+ title = {{$(4,2)$}-choosability of planar graphs with forbidden substructures},
+ journal = {Graphs and Combinatorics},
+ year = {2017},
+ volume = {33},
+ number = {4},
+ pages = {751-787},
+ month = {Jul.},
+ keywords = {pub},
+ owner = {Chris},
+ timestamp = {2015.08.05},
+ url = {http://arxiv.org/abs/1512.03787},
+}
+
+@Article{BBCDLP15euler,
+ author = {Banaian, Esther and Butler, Steve and Cox, Christopher and Davis, Jeffrey and Landgraf, Jacob and Ponce, Scarlitte},
+ title = {A generalization of {E}ulerian numbers via rook placements},
+ journal = {Involve},
+ year = {2017},
+ volume = {10},
+ number = {4},
+ pages = {691-705},
+ month = {Mar.},
+ keywords = {pub},
+ owner = {Chris},
+ url = {http://arxiv.org/abs/1508.03673},
+}
+
+@Article{BBCDLP15prime,
+ author = {Banaian, Esther and Butler, Steve and Cox, Christopher and Davis, Jeffrey and Landgraf, Jacob and Ponce, Scarlitte},
+ title = {Counting prime juggling patterns},
+ journal = {Graphs and Combinatorics},
+ year = {2016},
+ volume = {32},
+ number = {5},
+ pages = {1675-1688},
+ month = {Sep.},
+ keywords = {pub},
+ owner = {Chris},
+ url = {http://arxiv.org/abs/1508.05296}
+}
+@Article{CS16orram,
+ Title = {Ordered {R}amsey numbers of loose paths and matchings},
+ Author = {Cox, Christopher and Stolee, Derrick},
+ Journal = {Discrete Mathematics},
+ Year = {2016},
+ Month = {Feb.},
+ Number = {2},
+ Pages = {499-505},
+ Volume = {339},
+
+ Abstract = {For a $k$-uniform hypergraph $G$ with vertex set $\{1,\ldots,n\}$, the ordered Ramsey number $\OR{t}{G}$ is the least integer $N$ such that every $t$-coloring of the edges of the complete $k$-uniform graph on vertex set $\{1,\ldots,N\}$ contains a monochromatic copy of $G$ whose vertices follow the prescribed order.
+Due to this added order restriction, the ordered Ramsey numbers can be much larger than the usual graph Ramsey numbers.
+We determine that the ordered Ramsey numbers of loose paths under a monotone order grows as a tower of height two less than the maximum degree in terms of the number of edges.
+We also extend theorems of Conlon, Fox, Lee, and Sudakov [Ordered Ramsey numbers, arXiv:1410.5292] on the ordered Ramsey numbers of 2-uniform matchings to provide upper bounds on the ordered Ramsey number of $k$-uniform matchings under certain orderings.},
+ Keywords = {pub},
+ Owner = {Chris},
+ Timestamp = {2015.05.05},
+ Url = {http://www.sciencedirect.com/science/article/pii/S0012365X15003477}
+}
+
+@Article{CDDKRT15hanabi,
+ author = {Cox, Christopher and De Silva, Jessica and DeOrsey, Philip and Kenter, Franklin and Retter, Troy and Tobin, R. Joshua},
+ title = {How to make the perfect fireworks display: {T}wo strategies for {H}anabi},
+ journal = {Mathematics Magazine},
+ year = {2015},
+ volume = {88},
+ number = {5},
+ pages = {323-336},
+ month = {Dec.},
+ abstract = {The game of \emph{Hanabi} is a multi-player cooperative card game which has many similarities to a mathematical `hat guessing game.' In \emph{Hanabi}, players do not know the cards in their own hand and must rely on the actions of the other players to communicate information.
+
+This paper presents two strategies for \emph{Hanabi}. Results from computer simulation demonstrate that both strategies perform well. In particular, one strategy achieves a perfect score of 25 points 75 percent of the time.},
+ keywords = {pub},
+ owner = {Chris},
+ timestamp = {2015.05.05},
+}