14 citations · 17 across the 6 of their papers we have counts for
5 papers · 1 filter
The numbers game and Dynkin diagram classification results
Robert G. Donnelly, Kimmo Eriksson
The numbers game is a one-player game played on a finite simple graph with certain "amplitudes" assigned to its edges and with an initial assignment of real numbers to its nodes. T…
Convergent and divergent numbers games for certain collections of edge-weighted graphs
Robert G. Donnelly
The numbers game is a one-player game played on a finite simple graph with certain "amplitudes" assigned to its edges and with an initial assignment of real numbers to its nodes. T…
Eriksson's numbers game and finite Coxeter groups
Robert G. Donnelly
The numbers game is a one-player game played on a finite simple graph with certain ``amplitudes'' assigned to its edges and with an initial assignment of real numbers to its nodes.…
Eriksson's numbers game on certain edge-weighted three-node cyclic graphs
Robert G. Donnelly
The numbers game is a one-player game played on a finite simple graph with certain ``amplitudes'' assigned to its edges and with an initial assignment of real numbers to its nodes.…
Distributive lattices defined for representations of rank two semisimple Lie algebras
L. Wyatt Alverson, Robert G. Donnelly, Scott J. Lewis +4
For a rank two root system and a pair of nonnegative integers, using only elementary combinatorics we construct two posets. The constructions are uniform across the root systems A1…