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\datalist[entry]{ydnt/global//global/global}
  \entry{Bukh2018a}{article}{}
    \name{author}{2}{}{%
      {{hash=BB}{%
         family={Bukh},
         familyi={B\bibinitperiod},
         given={Boris},
         giveni={B\bibinitperiod},
      }}%
      {{hash=CC}{%
         family={Cox},
         familyi={C\bibinitperiod},
         given={Christopher},
         giveni={C\bibinitperiod},
      }}%
    }
    \keyw{sub}
    \strng{namehash}{BBCC1}
    \strng{fullhash}{BBCC1}
    \field{labelnamesource}{author}
    \field{labeltitlesource}{title}
    \field{sortinit}{7}
    \field{sortinithash}{7}
    \field{abstract}{%
    How can $d+k$ vectors in $\mathbb{R}^d$ be arranged so that they are as
  close to orthogonal as possible? In particular, define
  $\theta(d,k):=\min_X\max_{x\neq y\in X}|\langle x,y\rangle|$ where the
  minimum is taken over all collections of $d+k$ unit vectors
  $X\subseteq\mathbb{R}^d$. In this paper, we focus on the case where $k$ is
  fixed and $d\to\infty$. In establishing bounds on $\theta(d,k)$, we find an
  intimate connection to the existence of systems of ${k+1\choose 2}$
  equiangular lines in $\mathbb{R}^k$. Using this connection, we are able to
  pin down $\theta(d,k)$ whenever $k\in\{1,2,3,7,23\}$ and establish
  asymptotics for general $k$. The main tool is an upper bound on
  $\mathbb{E}_{x,y\sim\mu}|\langle x,y\rangle|$ whenever $\mu$ is an isotropic
  probability mass on $\mathbb{R}^k$, which may be of independent interest. Our
  results translate naturally to the analogous question in $\mathbb{C}^d$. In
  this case, the question relates to the existence of systems of $k^2$
  equiangular lines in $\mathbb{C}^k$, also known as SIC-POVM in physics
  literature.%
    }
    \verb{eprint}
    \verb 1803.02949v1
    \endverb
    \field{title}{Nearly orthogonal vectors and small antipodal spherical
  codes}
    \verb{file}
    \verb online:http\://arxiv.org/pdf/1803.02949v1:PDF
    \endverb
    \field{eprinttype}{arXiv}
    \field{eprintclass}{math.CO}
    \field{day}{08}
    \field{month}{03}
    \field{year}{2018}
  \endentry

  \entry{Bukh2018}{article}{}
    \name{author}{2}{}{%
      {{hash=BB}{%
         family={Bukh},
         familyi={B\bibinitperiod},
         given={Boris},
         giveni={B\bibinitperiod},
      }}%
      {{hash=CC}{%
         family={Cox},
         familyi={C\bibinitperiod},
         given={Christopher},
         giveni={C\bibinitperiod},
      }}%
    }
    \keyw{sub}
    \strng{namehash}{BBCC1}
    \strng{fullhash}{BBCC1}
    \field{labelnamesource}{author}
    \field{labeltitlesource}{title}
    \field{sortinit}{7}
    \field{sortinithash}{7}
    \field{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.%
    }
    \verb{eprint}
    \verb 1802.00476v1
    \endverb
    \field{title}{On a fractional version of {H}aemers' bound}
    \verb{file}
    \verb online:http\://arxiv.org/pdf/1802.00476v1:PDF
    \endverb
    \field{eprinttype}{arXiv}
    \field{eprintclass}{cs.IT}
    \field{day}{01}
    \field{month}{02}
    \field{year}{2018}
  \endentry

  \entry{Cox2018}{article}{}
    \name{author}{2}{}{%
      {{hash=CC}{%
         family={Cox},
         familyi={C\bibinitperiod},
         given={Christopher},
         giveni={C\bibinitperiod},
      }}%
      {{hash=SD}{%
         family={Stolee},
         familyi={S\bibinitperiod},
         given={Derrick},
         giveni={D\bibinitperiod},
      }}%
    }
    \list{publisher}{1}{%
      {Springer Nature}%
    }
    \keyw{app}
    \strng{namehash}{CCSD1}
    \strng{fullhash}{CCSD1}
    \field{labelnamesource}{author}
    \field{labeltitlesource}{title}
    \field{sortinit}{7}
    \field{sortinithash}{7}
    \field{title}{Ramsey Numbers for Partially-Ordered Sets}
    \field{journaltitle}{Order}
    \field{year}{2018}
    \warn{\item Invalid format of field 'month'}
  \endentry

  \entry{BBCDLP15euler}{article}{}
    \name{author}{6}{}{%
      {{hash=BE}{%
         family={Banaian},
         familyi={B\bibinitperiod},
         given={Esther},
         giveni={E\bibinitperiod},
      }}%
      {{hash=BS}{%
         family={Butler},
         familyi={B\bibinitperiod},
         given={Steve},
         giveni={S\bibinitperiod},
      }}%
      {{hash=CC}{%
         family={Cox},
         familyi={C\bibinitperiod},
         given={Christopher},
         giveni={C\bibinitperiod},
      }}%
      {{hash=DJ}{%
         family={Davis},
         familyi={D\bibinitperiod},
         given={Jeffrey},
         giveni={J\bibinitperiod},
      }}%
      {{hash=LJ}{%
         family={Landgraf},
         familyi={L\bibinitperiod},
         given={Jacob},
         giveni={J\bibinitperiod},
      }}%
      {{hash=PS}{%
         family={Ponce},
         familyi={P\bibinitperiod},
         given={Scarlitte},
         giveni={S\bibinitperiod},
      }}%
    }
    \keyw{pub}
    \strng{namehash}{BEBSCC+1}
    \strng{fullhash}{BEBSCCDJLJPS1}
    \field{labelnamesource}{author}
    \field{labeltitlesource}{title}
    \field{sortinit}{7}
    \field{sortinithash}{7}
    \field{number}{4}
    \field{pages}{691\bibrangedash 705}
    \field{title}{A generalization of {E}ulerian numbers via rook placements}
    \verb{url}
    \verb http://arxiv.org/abs/1508.03673
    \endverb
    \field{volume}{10}
    \field{journaltitle}{Involve}
    \field{month}{03}
    \field{year}{2017}
  \endentry

  \entry{BCDHKLMMNPS15choose}{article}{}
    \name{author}{11}{}{%
      {{hash=BZ}{%
         family={Berikkyzy},
         familyi={B\bibinitperiod},
         given={Zhanar},
         giveni={Z\bibinitperiod},
      }}%
      {{hash=CC}{%
         family={Cox},
         familyi={C\bibinitperiod},
         given={Christopher},
         giveni={C\bibinitperiod},
      }}%
      {{hash=DM}{%
         family={Dairyko},
         familyi={D\bibinitperiod},
         given={Michael},
         giveni={M\bibinitperiod},
      }}%
      {{hash=HK}{%
         family={Hogenson},
         familyi={H\bibinitperiod},
         given={Kirsten},
         giveni={K\bibinitperiod},
      }}%
      {{hash=KM}{%
         family={Kumbhat},
         familyi={K\bibinitperiod},
         given={Mohit},
         giveni={M\bibinitperiod},
      }}%
      {{hash=LB}{%
         family={Lidick{\'y}},
         familyi={L\bibinitperiod},
         given={Bernard},
         giveni={B\bibinitperiod},
      }}%
      {{hash=MK}{%
         family={Messerschmidt},
         familyi={M\bibinitperiod},
         given={Kacy},
         giveni={K\bibinitperiod},
      }}%
      {{hash=MK}{%
         family={Moss},
         familyi={M\bibinitperiod},
         given={Kevin},
         giveni={K\bibinitperiod},
      }}%
      {{hash=NK}{%
         family={Nowak},
         familyi={N\bibinitperiod},
         given={Kathleen},
         giveni={K\bibinitperiod},
      }}%
      {{hash=PK}{%
         family={Palmowski},
         familyi={P\bibinitperiod},
         given={Kevin},
         giveni={K\bibinitperiod},
      }}%
      {{hash=SD}{%
         family={Stolee},
         familyi={S\bibinitperiod},
         given={Derrick},
         giveni={D\bibinitperiod},
      }}%
    }
    \keyw{pub}
    \strng{namehash}{BZCCDM+1}
    \strng{fullhash}{BZCCDMHKKMLBMKMKNKPKSD1}
    \field{labelnamesource}{author}
    \field{labeltitlesource}{title}
    \field{sortinit}{7}
    \field{sortinithash}{7}
    \field{number}{4}
    \field{pages}{751\bibrangedash 787}
    \field{title}{{$(4,2)$}-choosability of planar graphs with forbidden
  substructures}
    \verb{url}
    \verb http://arxiv.org/abs/1512.03787
    \endverb
    \field{volume}{33}
    \field{journaltitle}{Graphs and Combinatorics}
    \field{month}{07}
    \field{year}{2017}
  \endentry

  \entry{briggscox17}{article}{}
    \name{author}{2}{}{%
      {{hash=BJ}{%
         family={Briggs},
         familyi={B\bibinitperiod},
         given={Joseph},
         giveni={J\bibinitperiod},
      }}%
      {{hash=CC}{%
         family={Cox},
         familyi={C\bibinitperiod},
         given={Christopher},
         giveni={C\bibinitperiod},
      }}%
    }
    \keyw{sub}
    \strng{namehash}{BJCC1}
    \strng{fullhash}{BJCC1}
    \field{labelnamesource}{author}
    \field{labeltitlesource}{title}
    \field{sortinit}{7}
    \field{sortinithash}{7}
    \field{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.%
    }
    \verb{eprint}
    \verb 1711.02082v2
    \endverb
    \field{title}{Inverting the {T}ur{\' a}n problem}
    \verb{file}
    \verb online:http\://arxiv.org/pdf/1711.02082v2:PDF
    \endverb
    \field{eprinttype}{arXiv}
    \field{eprintclass}{math.CO}
    \field{day}{06}
    \field{month}{11}
    \field{year}{2017}
  \endentry

  \entry{BBCDLP15prime}{article}{}
    \name{author}{6}{}{%
      {{hash=BE}{%
         family={Banaian},
         familyi={B\bibinitperiod},
         given={Esther},
         giveni={E\bibinitperiod},
      }}%
      {{hash=BS}{%
         family={Butler},
         familyi={B\bibinitperiod},
         given={Steve},
         giveni={S\bibinitperiod},
      }}%
      {{hash=CC}{%
         family={Cox},
         familyi={C\bibinitperiod},
         given={Christopher},
         giveni={C\bibinitperiod},
      }}%
      {{hash=DJ}{%
         family={Davis},
         familyi={D\bibinitperiod},
         given={Jeffrey},
         giveni={J\bibinitperiod},
      }}%
      {{hash=LJ}{%
         family={Landgraf},
         familyi={L\bibinitperiod},
         given={Jacob},
         giveni={J\bibinitperiod},
      }}%
      {{hash=PS}{%
         family={Ponce},
         familyi={P\bibinitperiod},
         given={Scarlitte},
         giveni={S\bibinitperiod},
      }}%
    }
    \keyw{pub}
    \strng{namehash}{BEBSCC+1}
    \strng{fullhash}{BEBSCCDJLJPS1}
    \field{labelnamesource}{author}
    \field{labeltitlesource}{title}
    \field{sortinit}{7}
    \field{sortinithash}{7}
    \field{number}{5}
    \field{pages}{1675\bibrangedash 1688}
    \field{title}{Counting prime juggling patterns}
    \verb{url}
    \verb http://arxiv.org/abs/1508.05296
    \endverb
    \field{volume}{32}
    \field{journaltitle}{Graphs and Combinatorics}
    \field{month}{09}
    \field{year}{2016}
  \endentry

  \entry{CS16orram}{article}{}
    \name{author}{2}{}{%
      {{hash=CC}{%
         family={Cox},
         familyi={C\bibinitperiod},
         given={Christopher},
         giveni={C\bibinitperiod},
      }}%
      {{hash=SD}{%
         family={Stolee},
         familyi={S\bibinitperiod},
         given={Derrick},
         giveni={D\bibinitperiod},
      }}%
    }
    \keyw{pub}
    \strng{namehash}{CCSD1}
    \strng{fullhash}{CCSD1}
    \field{labelnamesource}{author}
    \field{labeltitlesource}{title}
    \field{sortinit}{7}
    \field{sortinithash}{7}
    \field{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.%
    }
    \field{number}{2}
    \field{pages}{499\bibrangedash 505}
    \field{title}{Ordered {R}amsey numbers of loose paths and matchings}
    \verb{url}
    \verb http://www.sciencedirect.com/science/article/pii/S0012365X15003477
    \endverb
    \field{volume}{339}
    \field{journaltitle}{Discrete Mathematics}
    \field{month}{02}
    \field{year}{2016}
  \endentry

  \entry{CDDKRT15hanabi}{article}{}
    \name{author}{6}{}{%
      {{hash=CC}{%
         family={Cox},
         familyi={C\bibinitperiod},
         given={Christopher},
         giveni={C\bibinitperiod},
      }}%
      {{hash=DSJ}{%
         family={De\bibnamedelima Silva},
         familyi={D\bibinitperiod\bibinitdelim S\bibinitperiod},
         given={Jessica},
         giveni={J\bibinitperiod},
      }}%
      {{hash=DP}{%
         family={DeOrsey},
         familyi={D\bibinitperiod},
         given={Philip},
         giveni={P\bibinitperiod},
      }}%
      {{hash=KF}{%
         family={Kenter},
         familyi={K\bibinitperiod},
         given={Franklin},
         giveni={F\bibinitperiod},
      }}%
      {{hash=RT}{%
         family={Retter},
         familyi={R\bibinitperiod},
         given={Troy},
         giveni={T\bibinitperiod},
      }}%
      {{hash=TRJ}{%
         family={Tobin},
         familyi={T\bibinitperiod},
         given={R.\bibnamedelima Joshua},
         giveni={R\bibinitperiod\bibinitdelim J\bibinitperiod},
      }}%
    }
    \keyw{pub}
    \strng{namehash}{CCDSJDP+1}
    \strng{fullhash}{CCDSJDPKFRTTRJ1}
    \field{labelnamesource}{author}
    \field{labeltitlesource}{title}
    \field{sortinit}{7}
    \field{sortinithash}{7}
    \field{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.%
    }
    \field{number}{5}
    \field{pages}{323\bibrangedash 336}
    \field{title}{How to make the perfect fireworks display: {T}wo strategies
  for {H}anabi}
    \field{volume}{88}
    \field{journaltitle}{Mathematics Magazine}
    \field{month}{12}
    \field{year}{2015}
  \endentry

  \entry{CFMR15potram}{article}{}
    \name{author}{4}{}{%
      {{hash=CC}{%
         family={Cox},
         familyi={C\bibinitperiod},
         given={Christopher},
         giveni={C\bibinitperiod},
      }}%
      {{hash=FM}{%
         family={Ferrara},
         familyi={F\bibinitperiod},
         given={Michael},
         giveni={M\bibinitperiod},
      }}%
      {{hash=MRR}{%
         family={Martin},
         familyi={M\bibinitperiod},
         given={Ryan\bibnamedelima R.},
         giveni={R\bibinitperiod\bibinitdelim R\bibinitperiod},
      }}%
      {{hash=RB}{%
         family={Reineger},
         familyi={R\bibinitperiod},
         given={Benjamin},
         giveni={B\bibinitperiod},
      }}%
    }
    \strng{namehash}{CCFMMRR+1}
    \strng{fullhash}{CCFMMRRRB1}
    \field{labelnamesource}{author}
    \field{labeltitlesource}{title}
    \field{sortinit}{7}
    \field{sortinithash}{7}
    \field{abstract}{%
    A sequence of nonnegative integers $\pi =(d_1,d_2,...,d_n)$ is {\it
  graphic} if there is a (simple) graph $G$ of order $n$ having degree sequence
  $\pi$. In this case, $G$ is said to {\it realize} or be a {\it realization
  of} $\pi$. Given a graph $H$, a graphic sequence $\pi$ is \textit{potentially
  $H$-graphic} if there is some realization of $\pi$ that contains $H$ as a
  subgraph. In this paper, we consider a degree sequence analogue to classical
  graph Ramsey numbers. For graphs $H_1$ and $H_2$, the
  \textit{potential-Ramsey number} $\rpot(H_1,H_2)$ is the minimum integer $N$
  such that for any $N$-term graphic sequence $\pi$, either $\pi$ is
  potentially $H_1$-graphic or the complementary sequence
  $\overline{\pi}=(N-1-d_N,\dots, N-1-d_1)$ is potentially $H_2$ graphic. We
  prove that if $s\ge 2$ is an integer and $T_t$ is a tree of order $t\ge
  9(s-2)$ and then $$\rpot(T_t, K_s) = t+s-2.$$ This result, which is best
  possible up to the constant on $s-2$, is a degree sequence analogue to a
  classical 1977 result of Chv\'{a}tal on the graph Ramsey number of trees vs.\
  cliques. To obtain this theorem, we prove a sharp condition that ensures an
  arbitrary graph packs with a forest, which is likely to be of independent
  interest.%
    }
    \field{title}{Chv{\'a}tal-type results for degree sequence {R}amsey
  numbers}
    \verb{url}
    \verb http://arxiv.org/abs/1510.04843
    \endverb
    \field{journaltitle}{Preprint available as arXiv:1510.04843}
    \field{month}{05}
    \field{year}{2015}
  \endentry
\enddatalist
\endinput
