Protection of Graphs
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (30 January 2020) | Viewed by 590
Special Issue Editor
Interests: graph theory; applied mathematics; discrete mathematics
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
This Special Issue invites you to contribute your original research work and review articles on “Protection of Graphs”. For vertex v of a simple graph G, let f (v) be the number of entities stationed at v. Depending on the problem, with the graph, we want to model an entity that could consist of a robot, an observer, a guard, a legion, and so on. An entity at v can deal with a problem at any vertex in its closed neighbourhood. There are several strategies, that is, properties of such functions, under which the entire graph may be deemed protected. Among the most studied properties, the following stand out: domination, total domination, Roman domination, weak Roman domination, and secure domination. The corresponding parameters that give the minimum number of entities required to protect the graph under the various strategies have been extensively studied. This Special issue invites contributions addressing new results on these topics, both from a theoretical and an applied point of view.
Prof. Dr. Juan Alberto Rodríguez VelázquezGuest Editor
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Keywords
- Domination in graphs
- Total domination in graphs
- Secure domination in graphs
- Roman domination in graphs
- Rainbow domination in graphs
- Game domination in graphs
- Eternal domination in graphs
- Fractional domination in graphs
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