A brick is a 3-connected graph such that the graph obtained from it by deleting any two distinct vertices has a perfect matching. The importance of bricks stems from the fact that...
We study problems of reconguration of shortest paths in graphs. We prove that the shortest reconguration sequence can be exponential in the size of the graph and that it is NP-hard...
Graphs provide an efficient tool for object representation in various computer vision applications. Once graph-based representations are constructed, an important question is how ...
Mikhail Zaslavskiy, Francis Bach, Jean-Philippe Ve...
A graph is chordal if it does not contain any induced cycle of size greater than three. An alternative characterization of chordal graphs is via a perfect elimination ordering, whi...
Abstract. We show that the partitions of an n-element set into k members of a given set family can be counted in time O((2− )n ), where > 0 depends only on the maximum size am...