activity
20152023
most citedThe poset on connected graphs is Sperner

2 citations · 2 across the 5 of their papers we have counts for

collaborators

7 papers

math.CO2023

A Proof of the Grundy domination strong product conjecture

Rebekah Herrman, Stephen G. Z. Smith

The Grundy domination number of a simple graph is the length of the longest sequence of unique vertices , , that satisfies the proper…

math.CO2022

Extending Grundy domination to -Grundy domination

Rebekah Herrman, Stephen G. Z. Smith

The Grundy domination number of a graph is the length of the longest sequence of unique vertices satisfying $N[v_i] \setminus \cup_{j=1}^{i-1}N…

quant-ph2022

Approximating Output Probabilities of Shallow Quantum Circuits which are Geometrically-local in any Fixed Dimension

Suchetan Dontha, Shi Jie Samuel Tan, Stephen Smith +2

We present a classical algorithm that, for any -dimensional geometrically-local, quantum circuit of polylogarithmic-depth, and any bit string , can compute th…

math.CO2021

On the length of L-Grundy sequences

Rebekah Herrman, Stephen G. Z. Smith

An L- sequence of a graph is a sequence of distinct vertices such that . The length of the lo…

math.CO2020

Capture times in the Bridge-burning Cops and Robbers game

Rebekah Herrman, Peter van Hintum, Stephen G. Z. Smith

In this paper, we consider a variant of the cops and robbers game on a graph, introduced by Kinnersley and Peterson, in which every time the robber uses an edge, it is removed from…

math.CO2016

On a conjecture of Gentner and Rautenbach

António Girão, Gábor Mészáros, Stephen G. Z. Smith

Gentner and Rautenbach conjectured that the size of a minimum zero forcing set in a connected graph on vertices with maximum degree is at most . We disprove…

math.CO2015★ 2 cited

The poset on connected graphs is Sperner

Stephen G. Z. Smith, István Tomon

Let be the set of all connected graphs on vertex set . Define the partial ordering on as follows: for let if $E(G)\s…