There has been a significant amount of research lately on solving the edge disjoint path and related problems on expander graphs. We review the random walk approach of Broder, Fri...
By use of elementary geometric arguments we prove the existence of a special integral solution of a certain system of linear equations. The existence of such a solution yields the...
We prove a sufficient condition for a graph G to have a matching that interconnects all the components of a disconnected spanning subgraph of G. The condition is derived from a re...
MacLane's planarity criterion states that a finite graph is planar if and only if its cycle space has a basis B such that every edge is contained in at most two members of B....
Spectral graph partitioning provides a powerful approach to image segmentation. We introduce an alternate idea that finds partitions with a small isoperimetric constant, requiring ...