Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Tuesday, January 21, 2003, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Ron Aharoni (Technion)

Independent Systems of Representatives

This a survey talk about some recent developments in matching theory, due to the introduction of topological methods. The basic notion studied is that of an ISR: given a system of sets A_1, ..., A_m, and a graph on the union of the A_i's, an independent system of representatives (ISR) is a choice of distinct and independent (in the given graph) vertices v_i \in A_i. We describe various sufficient conditions for the existence of ISR's, and give some applications.

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