4 citations · 8 across the 6 of their papers we have counts for
8 papers
A Bipartite Graph That Is Not the -Graph of a Bipartite Graph
Christopher M. van Bommel
For a graph , the -graph of is the graph whose vertex set is the collection of minimum dominating sets, or -sets of , and two -sets are adjacent if they…
Italian Domination of Cartesian Products of Directed Cycles
Christopher M. van Bommel
An Italian dominating function on a (di)graph with vertex set is a function such that every vertex such that has an (in…
Pretty Good State Transfer and Minimal Polynomials
Christopher M. van Bommel
We examine conditions for a pair of strongly cospectral vertices to have pretty good quantum state transfer in terms of minimal polynomials, and provide cases where pretty good sta…
Pretty Good State Transfer of Multiple Qubit States on Paths
Christopher M. van Bommel
We discuss pretty good state transfer of multiple qubit states and provide a model for considering state transfer of arbitrary states on unmodulated XX-type spin chains. We then pr…
-Graphs of Trees
Stephen Finbow, Christopher M. van Bommel
For a graph , the -graph of , denoted , is the graph whose vertex set is the collection of minimum dominating sets, or -sets of , and t…
Improving the query complexity of quantum spatial search in two dimensions
Abhijith J., Apoorva Patel
The question of whether quantum spatial search in two dimensions can be made optimal has long been an open problem. We report progress towards its resolution by showing that the or…