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Full-Text Articles in Physical Sciences and Mathematics
Global Domination Stable Graphs, Elizabeth Marie Harris
Global Domination Stable Graphs, Elizabeth Marie Harris
Electronic Theses and Dissertations
A set of vertices S in a graph G is a global dominating set (GDS) of G if S is a dominating set for both G and its complement G. The minimum cardinality of a global dominating set of G is the global domination number of G. We explore the effects of graph modifications on the global domination number. In particular, we explore edge removal, edge addition, and vertex removal.
Dihedral Cayley Directed Strongly Regular Graphs, Jose Jonathan Gamez
Dihedral Cayley Directed Strongly Regular Graphs, Jose Jonathan Gamez
Open Access Theses & Dissertations
A graph is a directed strongly regular graph (DSRG) if and only if the number of paths of length 2 from x to y is: λ, if there is an edge from x to y; μ, if there is not an edge from x to y (with x not equal to y); and t, if x = y. For every vertex in G, the in-degree and out-degree is k. The number of vertices in G is denoted by v. If G is a group and S a subset of G, then the …