Playing with Kruskal: algorithms for morphological trees in edge-weighted graphs

We consider the Directed Spanning Forest (DSF) constructed as follows: given a Poisson point process N on the plane, the ancestor of each point is the nearest vertex of N having

Computational results based on randomly generated graphs show that the number of k -branch vertices included in the spanning tree increases with the size of the vertex set V,

Since the work of Rabin [9], it has been known that any monadic second order property of the (labeled) binary tree with successor functions (and not the prefix ordering) is a monadic

Since the beginning of the twenty-first century, the dominant method for visualiz- ing the human brain structure utilizing DT-MRI data has been fiber tracking [8, 13, 30, 39, 45].

Moreover, when used for xed classes G of graphs having optimum (APSPs) compact routing schemes, the construction of an MDST of G ∈ G may be performed by using interval, linear

• If there is no outgoing edge, that means that the maximum degree of this spanning tree cannot be improved, this node send a message ”stop” to its parents.. The ”stop” message

Keywords: ost sharing, fairness, minimum ost spanning tree game, Bird rule..

However, if we suppose that only one change is possible at any time on one of several non-stable edges, and that the delay between two changes is long enough, then after each