Zobrazeno 1 - 10
of 138
pro vyhledávání: '"Warrington, Gregory S."'
Autor:
Backman, Spencer, Charbonneau, Cole, Loehr, Nicholas A., Mullins, Patrick, O'Connor, Mazie, Warrington, Gregory S.
For $0\leq k\leq n-1$, we introduce a family of $k$-skeletal paths which are counted by the $n$-th Catalan number for each $k$, and specialize to Dyck paths when $k=n-1$. We similarly introduce $k$-skeletal parking functions which are equinumerous wi
Externí odkaz:
http://arxiv.org/abs/2408.06923
Richard Stanley defined the chromatic symmetric function $X_G$ of a graph $G$ and asked whether there are non-isomorphic trees $T$ and $U$ with $X_T=X_U$. We study variants of the chromatic symmetric function for rooted graphs, where we require the r
Externí odkaz:
http://arxiv.org/abs/2206.05392
Publikováno v:
In Discrete Mathematics March 2024 347(3)
Publikováno v:
Journal of Combinatorial Theory, Series A, Volume 177, January 2021
Creation operators act on symmetric functions to build Schur functions, Hall--Littlewood polynomials, and related symmetric functions one row at a time. Haglund, Morse, Zabrocki, and others have studied more general symmetric functions $H_{\alpha}$,
Externí odkaz:
http://arxiv.org/abs/2009.06684
We introduce simulated packing and cracking as a technique for evaluating partisan-gerrymandering measures. We apply it to historical congressional and legislative elections to evaluate four measures: partisan bias, declination, efficiency gap, and m
Externí odkaz:
http://arxiv.org/abs/2006.10665
We propose a new graphical format for instant-runoff voting election results. We call this proposal an "accumulation chart." This model, a modification of standard bar charts, is easy to understand, clearly indicates the winner, depicts the instant-r
Externí odkaz:
http://arxiv.org/abs/1903.06095
Autor:
Warrington, Gregory S.
The actions of packing and cracking are central to the construction of gerrymandered district plans. The US Supreme Court opinion in Gill v. Whitford makes clear that vote dilution arguments require showing that individual voters have been packed or
Externí odkaz:
http://arxiv.org/abs/1806.11074
Autor:
Warrington, Gregory S.
We compare and contrast fourteen measures that have been proposed for the purpose of quantifying partisan gerrymandering. We consider measures that, rather than examining the shapes of districts, utilize only the partisan vote distribution among dist
Externí odkaz:
http://arxiv.org/abs/1805.12572
Autor:
Warrington, Gregory S.
The declination is a quantitative method for identifying possible partisan gerrymanders by analyzing vote distributions. In this expository note we explain and motivate the definition of the declination. The minimal computer code required for computi
Externí odkaz:
http://arxiv.org/abs/1803.04799
Using the recently introduced declination function, we estimate the net number of seats won in the US House of Representatives due to asymmetries in vote distributions. Such asymmetries can arise from combinations of partisan gerrymandering and inher
Externí odkaz:
http://arxiv.org/abs/1707.08681