2 papers
math.CO2025
Fractional forcing number of graphs
Javad B. Ebrahimi, Babak Ghanbari
The notion of forcing sets for perfect matchings was introduced by Harary, Klein, and ŽivkoviÄ. The application of this problem in chemistry, as well as its interesting theoretic…
math.CO2024
Bounds on the Complete Forcing Number of Graphs
Javad B. Ebrahimi, Aref Nemayande, Elahe Tohidi
A forcing set for a perfect matching of a graph is defined as a subset of the edges of that perfect matching such that there exists a unique perfect matching containing it. A compl…