Browsing Mathematics (Faculty of) by Author "Graf, Alessandra"

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Finding Independent Transversals Efficiently

Graf, Alessandra (University of Waterloo, 2019-08-23)

Let G be a graph and (V_1,...,V_m) be a vertex partition of G. An independent transversal (IT) of G with respect to (V_1,...,V_m) is an independent set {v_1,...,v_m} in G such that v_i is in V_i for each i in {1,...,m}. There ...
On the Strongly Connected Components of Random Directed Graphs with Given Degree Sequences

Graf, Alessandra (University of Waterloo, 2016-08-24)

A strongly connected component of a directed graph G is a maximal subgraph H of G such that for each pair of vertices u and v in H, there is a directed path from u to v and a directed path from v to u in H. A strongly ...