PROJECTS
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2011-2013 - "Research on properties of alliances and secure sets defined as a sets of vertices of a graph that satisfy certain conditions" - project supported by National Science Centre on the basis of the decision DEC-2011/01/N/ST6/00922
Project leader: Katarzyna Jesse-Józefczyk
The research outcomes are included in the following papers:
- K. Jesse-Józefczyk, Monotonicity and expansion of global secure sets, Discrete Mathematics 312 (2012), 3451-3456.
- K. Jesse-Józefczyk, Bounds on global secure sets in cactus trees, Central European Journal of Mathematics 10 3(2012), 1113-1124.
- K. Jesse-Józefczyk, E. Sidorowicz, Secure sets and their expansion in cubic graphs, Central European Journal of Mathematics 12 (2014), 1664-1673.
- K. Jesse-Józefczyk, E. Sidorowicz, Global security in claw-free cubic graphs, Discrete Applied Mathematics 175 (2014), 11-23.
- K. Jesse-Józefczyk,Secure sets in graphs, PhD Thesis, Adam Mickiewicz University, 2014.
The results of the research carried out in the project were presented at the following conferences:
- 4th Polish Combinatorial Conference 2012 - talk "Global security in graphs",
- Bordeaux Graph Workshop 2012 - talk "Claw-free cubic graphs and their global secure sets",
- CID 2013 Colourings, Independence and Domination, 15th Workshop on graph theory - talk "Security in cubic graphs".