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math.CO2026
Isolation subdivision number of a graph
Magda Dettlaff, Magdalena Lemańska, Merce Mora +2
For a graph a set is called an isolating set of if the set is independent. The minimum cardinality of an isolating set in is the isolati…
math.CO2026
Isolation critical graphs under multiple edge subdivision
Karl Bartolo, Peter Borg, Magda Dettlaff +2
This paper introduces the notion of an -critical graph. The isolation number of a graph , denoted by and also known as the vertex-edge domination number of , is…