Terminal-Pairability in Complete Bipartite Graphs


We investigate the terminal-pairability problem in the case when the base graph is a complete bipartite graph, and the demand graph is also bipartite with the same color classes. We improve the lower bound on maximum value of $\Delta(D)$ which still guarantees that the demand graph $D$ is terminal-pairable in this setting. We also prove a sharp theorem on the maximum number of edges such a demand graph can have.

Discrete Applied Mathematics Volume 236, 19 February 2018, Pages 459–463

My research interests include Graph Theory, Computational Geometry, and Algorithms