The forcing number of a perfect matching M of a graph G is the cardinality of the smallest subset of M that is contained in no other perfect matching of G. In this paper, we demon...
We consider the question of characterizing Pfaffian graphs. We exhibit an infinite family of non-Pfaffian graphs minimal with respect to the matching minor relation. This is in sha...
Let G be a minimally k-connected graph with n nodes and m edges. Mader proved that if n 3k - 2 then m k(n - k), and for n 3k - 1 an equality is possible if, and only if, G is t...
The video segmentation problem consists in the identification of the boundary between consecutive shots. When two consecutive frames are similar, they are considered to be in the...
Video clip localization consists in identifying real positions of a specific video clip in a video stream. To cope with this problem, we propose a new approach considering the ma...