1 citations · 2 across the 5 of their papers we have counts for
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On Kostant's weight -multiplicity formula for
Rebecca E. Garcia, Pamela E. Harris, Marissa Loving +5
The -analog of Kostant's weight multiplicity formula is an alternating sum over a finite group, known as the Weyl group, whose terms involve the -analog of Kostant's partitio…
The Graph of Critical Pairs of a Crown
Fidel Barrera-Cruz, Rebecca Garcia, Pamela Harris +5
There is a natural way to associate with a poset a hypergraph , called the hypergraph of critical pairs, so that the dimension of is exactly equal to the chromatic numbe…
Block Circulant Graphs and the Graphs of Critical Pairs of a Crown
Rebecca E. Garcia, Pamela E. Harris, Bethany Kubik +2
In this paper, we provide a natural bijection between a special family of block circulant graphs and the graphs of critical pairs of the posets known as generalized crowns. In part…
Algebraic and combinatorial aspects of sandpile monoids on directed graphs
Scott Chapman, Rebecca Garcia, Luis David García-Puente +2
The sandpile group of a graph is a well-studied object that combines ideas from algebraic graph theory, group theory, dynamical systems, and statistical physics. A graph's sandpile…