We study the following problem: Given a set V of n vertices and a set E of m edge pairs, we define a graph family G(V, E) as the set of graphs that have vertex set V and contain ...
The scalability of graph-search algorithms can be greatly extended by using external memory, such as disk, to store generated nodes. We consider structured duplicate detection, an...
The circumference of a graph is the length of its longest cycles. Results of Jackson, and Jackson and Wormald, imply that the circumference of a 3-connected cubic n-vertex graph i...
A method that utilizes the polynomially solvable critical independent set problem for solving the maximum independent set problem on graphs with a nonempty critical independent se...
: We prove that every triangle-free planar graph on n vertices with maximum degree three has an independent set with size at least 3 8 n. This was suggested and later conjectured b...