At the 39th Southeastern International Conference on Combinatorics, Game Theory, and Computing, S. T. Hedetniemi introduced the idea of secondary domination denoted γ(m, n) where m and n are positive integers and m ≤ n. This concept concerns the location of the second member of the set from the perspective of vertices not in the set. Many subset parameters can be described utilizing secondary domination. For instance, distance-two double domination is one subset parameter that can be described as a γ(2,2) parameter. We present a Wimer-style algorithm for γ(2,2) as well as observations made during the exploration of the relationship between γ(1, 3) and γ(2,2).
展开▼
