Topic: Hall's Marriage Theorem

Perfect Matchings in Regular Bipartite Graphs

Latin Rectangles as Representative Systems

Hall’s Theorem in Worker–Task Assignments

Hall’s Theorem Through Augmenting Paths

Hall’s Condition and Unequal Set Sizes

Hall’s Theorem by Induction

Hall Deficiency and Maximum Partial Representations

Finding a Positive Diagonal in a Matrix

Extracting a Hall-Deficient Set From a Maximum Matching

Extending a Latin Rectangle by One Row