We construct algorithms for deciding essentially any minor-closed parameter, with explicit time bounds. This result strengthens previous results by Robertson and Seymour [1,2], Fr...
A graph property is called monotone if it is closed under taking (not necessarily induced) subgraphs (or, equivalently, if it is closed under removal of edges and vertices). Many ...
Abstract--The generalized minimum vertex-biconnected network problem plays an important role in the design of survivable backbone networks that should be fault tolerant to single c...
Because of the growing complexity of wireless sensor network applications (WSNs), traditional software development tools are being developed that are specifically designed for the...
The problem of characterizing all the testable graph properties is considered by many to be the most important open problem in the area of property-testing. Our main result in thi...