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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…
-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…
Triangle Decompositions of Planar Graphs
Christina, Mynhardt, Christopher van Bommel
A multigraph G is triangle decomposable if its edge set can be partitioned into subsets, each of which induces a triangle of G, and rationally triangle decomposable if its triangle…