Protection of Graphs

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.

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• 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