881 citations
- Los Alamos National LaboratoryUS13 papers
- Keele UniversityGB12 papers
- University of MichiganUS9 papers
- University of Wisconsin–MadisonUS9 papers
- Center for Astrophysics Harvard & SmithsonianUS7 papers
- Scuola Internazionale Superiore di Studi AvanzatiIT7 papers
- University of ArizonaUS7 papers
- University of California, BerkeleyUS7 papers
- University of Colorado BoulderUS7 papers
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- University of LeicesterGB7 papers
- Lawrence Berkeley National LaboratoryUS6 papers
4 papers · 2 filters
-Parabolic Subspace Arrangements
Hélène Barcelo, Christopher Severs, Jacob A. White
In this paper, we study -parabolic arrangements, a generalization of -equal arrangements for finite real reflection groups. When , these arrangements correspond to the w…
Optimal Pebbling in Products of Graphs
David S. Herscovici, Benjamin D. Hester, Glenn H. Hurlbert
We prove a generalization of Graham's Conjecture for optimal pebbling with arbitrary sets of target distributions. We provide bounds on optimal pebbling numbers of products of comp…
Generalizations of Graham's Pebbling Conjecture
David S. Herscovici, Benjamin D. Hester, Glenn H. Hurlbert
We investigate generalizations of pebbling numbers and of Graham's pebbling conjecture that pi(GxH) <= pi(G)pi(H), where pi(G) is the pebbling number of the graph G. We develop new…
A bijection between dominant Shi regions and core partitions
Susanna Fishel, Monica Vazirani
It is well-known that Catalan numbers count the number of dominant regions in the Shi arrangement of type , and that they also count partitio…