When: Sunday, April 2, 10am
Where: Schreiber 309
Speaker: Amir Ban (Tel Aviv University)
Title: Decomposing Weighted Graphs
We solve the following problem: Can an undirected weighted graph G be partitioned into two non-empty induced subgraphs satisfying minimum constraints for the sum of edge weights at vertices of each subgraph? We show that this is possible for all constraints a(x), b(x) satisfying d_G(x) >= a(x) + b(x) + 2W_G(x), for every vertex x, where d_G(x), W_G(x) are, respectively, the sum and maximum of incident edge weights. We also describe a geometric application.