Titlebook: Structures of Domination in Graphs; Teresa W. Haynes,Stephen T. Hedetniemi,Michael A. Book 2021 The Editor(s) (if applicable) and The Aut

Expertise

An Introduction to Game Domination in Graphs Staller, take turns choosing a vertex from a graph .. Each vertex chosen must dominate at least one vertex not dominated by the set of vertices previously chosen. The game ends when there are no more moves available. The players have conflicting goals: while Dominator wants to minimize the size of

GRILL

MOAN

Pde5-Inhibitors

Algorithms and Complexity of Power Domination in Graphss Rule) if a vertex . is observed and there is a vertex . ∈ .(.) that is the only unobserved vertex in .(.), then vertex . is observed. A set . is called a . if all vertices in .  are observed using rules (i) and (ii) when applied to .. The . ..(.) equals the minimum cardinality of a power dominatin

绊住

Self-Stabilizing Domination Algorithms of this algorithmic paradigm when applied to problems related to dominating sets in graphs. In this paradigm, a distributed computing system or network is modeled by an undirected graph . = (., .), where .  is its set of nodes, or processors, and . is its set of edges, or communication links. Each

exhibit

放气

Osteoporosis

Broadcast Domination in Graphsths of the broadcasts over all vertices in ., that is, the quantity ∑..(.). The minimum cost of a dominating broadcast is the broadcast domination number of .. In this chapter, we survey selected results on the broadcast domination number of a graph.

衣服

Dominator and Total Dominator Colorings in Graphsery vertex of some color class other than its own. The total dominator chromatic number of . is the minimum number of colors among all total dominator coloring of .. In this chapter, we present selected results on the dominator chromatic number and total dominator chromatic number of a graph.

CLOUT

An Introduction to Game Domination in Graphsa dominating set, Staller wants to maximize it. In this chapter, we present selected results on three domination-type game parameters, namely the domination game, the total domination game, and the independent domination game.