2009/05/07 by Kingsford, Carl, Marçais, Guillaume
#05C40 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.0905.1053
A multigraph is exactly k-edge-connected if there are exactly k edge-disjoint paths between any pair of vertices. We characterize the class of exactly 3-edge-connected graphs, giving a synthesis involving two operations by which every exactly 3-edge-connected multigraph can be generated. Slightly modified syntheses give the planar exactly 3-edge-connected graphs and the exactly 3-edge-connected graphs with the fewest possible edges.