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math.CO2026
On the Relationships between Domination, Isolation, and Packing
Geoffrey Boyer, Wayne Goddard, Michael A. Henning
We consider the relationships between the domination number of graph, denoted , and the distance- domination number, denoted , and three parameters that lie between them…
math.CO2026
Small -kernels in digraphs with minimum in-degree
Geoffrey Boyer, Matt Burnham, Daniela Černá +5
For a digraph , a subset is called a -kernel if is an independent set and all vertices in are reachable from via a directed path of length at…