activity
20102014
most citedImproved Bounds for -Identifying Codes of the Hex Grid

6 citations · 10 across the 6 of their papers we have counts for

collaborators

6 papers

math.CO2014

A Generalization of the Methods of Brass, Harboth, and Nieborg

Brendon Stanton

In 1995, Brass, Harborth and Nienborg disproved a conjecture of Erdős when they showed that a -free subgraph of the hypercube, , can have at least $(\frac 12 +ω(1))e(Q_n)…

math.CO2011

On a covering problem in the hypercube

Brendon Stanton, Lale Özkahya

In this paper, we address a particular variation of the Turán problem for the hypercube. Alon, Krech and Szabó (2007) asked "In an n-dimensional hypercube, Qn, and for l < d < n, w…

math.CO2011

On Vertex Identifying Codes For Infinite Lattices

Brendon Stanton

PhD Thesis--A compilation of the papers: "Lower Bounds for Identifying Codes in Some Infinite Grids", "Improved Bounds for r-identifying Codes of the Hex Grid", and "Vertex Identif…

math.CO2010★ 4 cited

Vertex identifying codes for the n-dimensional lattice

Brendon Stanton

An -identifying code on a graph is a set such that for every vertex in , the intersection of the radius- closed neighborhood with is nonempty an…

math.CO2010

Lower bounds for identifying codes in some infinite grids

Ryan Martin, Brendon Stanton

An -identifying code on a graph is a set such that for every vertex in , the intersection of the radius- closed neighborhood with is nonempty an…

math.CO2010★ 6 cited

Improved Bounds for -Identifying Codes of the Hex Grid

Brendon Stanton

For any positive integer , an -identifying code on a graph is a set such that for every vertex in , the intersection of the radius- closed neighb…