3 citations · 6 across the 11 of their papers we have counts for
13 papers
Seaweed algebras
Alex Cameron, Vincent E. Coll, Nicholas Mayers +1
The index of a Lie algebra is an important algebraic invariant, but it is notoriously difficult to compute. However, for the suggestively-named seaweed algebras, the computation of…
The unbroken spectra of Frobenius seaweeds
Alex Cameron, Vincent E. Coll, Matthew Hyatt +1
We show that if is a Frobenius seaweed, then the spectrum of the adjoint of a principal element consists of an unbroken set of integers whose multiplicities have a s…
The breadth of Lie poset algebras
Alex Cameron, Vincent E. Coll, Nicholas Mayers +1
The breadth of a Lie algebra is defined to be the maximal dimension of the image of , for . Here, we initiate an investigation into the breadth of th…
New Upper Bounds for the Erdős-Gyárfás Problem on Generalized Ramsey Numbers
Alex Cameron, Emily Heath
A -coloring of a graph is an edge-coloring of which assigns at least colors to each -clique. The problem of determining the minimum number of colors, $f(n,p,q…
A lower bound on the saturation number, and graphs for which it is sharp
Alex Cameron, Gregory J. Puleo
Let be a fixed graph. We say that a graph is -saturated if it has no subgraph isomorphic to , but the addition of any edge to results in an -subgraph. The satu…
Distance domatic numbers for grid graphs
Alex Cameron, Jiasheng Yan
We say that a vertex-coloring of a graph is a proper k-distance domatic coloring if for each color, every vertex is within distance k from a vertex receiving that color. The maximu…