19 citations · 26 across the 7 of their papers we have counts for
6 papers · 1 filter
Proving exact values for the -limited broadcast domination number on grid graphs
Aaron Slobodin, Gary MacGillivray, Wendy Myrvold
We establish exact values for the -limited broadcast domination number of various grid graphs, in particular for and all , $P_m \squa…
2-limited broadcast domination on grid graphs
Aaron Slobodin, Gary MacGillivray, Wendy Myrvold
We establish upper and lower bounds for the 2-limited broadcast domination number of various grid graphs, in particular the Cartesian product of two paths, a path and a cycle, and…
Properties, Proved and Conjectured, of Keller, Mycielski, and Queen Graphs
Witold Jarnicki, Wendy Myrvold, Peter Saltzman +1
We prove several results about three families of graphs. For queen graphs, defined from the usual moves of a chess queen, we find the edge-chromatic number in almost all cases. In…
On the edge-reconstruction number of a tree
Kevin Asciak, Josef Lauri, Wendy Myrvold +1
The edge-reconstruction number ern of a graph is equal to the minimum number of edge-deleted subgraphs of which are sufficient to determine up to isomorphsim…
Computational determination of (3,11) and (4,7) cages
Geoffrey Exoo, Brendan D. McKay, Wendy Myrvold +1
A (k,g)-graph is a k-regular graph of girth g, and a (k,g)-cage is a (k,g)-graph of minimum order. We show that a (3,11)-graph of order 112 found by Balaban in 1973 is minimal and…
The obstructions for toroidal graphs with no 's
Andrei Gagarin, Wendy Myrvold, John Chambers
Forbidden minors and subdivisions for toroidal graphs are numerous. We consider the toroidal graphs with no -subdivisions that coincide with the toroidal graphs with no $K…