The construction of multicast trees is complicated by the need to balance a number of important objectives, including: minimizing latencies, minimizing depth/hops, and bounding th...
The Directed Maximum Leaf Out-Branching problem is to find an out-branching (i.e. a rooted oriented spanning tree) in a given digraph with the maximum number of leaves. In this pap...
Noga Alon, Fedor V. Fomin, Gregory Gutin, Michael ...
In this paper, we study the minimum spanning tree problem for vertex-labeled graphs, where the weights of edges may vary depending on the selection of labels of vertices at both e...
A spanning tree of a graph such that each vertex in the tree has degree at most d is called a degree-constrained spanning tree. The problem of finding the degree-constrained spann...
d Abstract) Noga Alon∗ Fedor V. Fomin† Gregory Gutin‡ Michael Krivelevich§ Saket Saurabh¶ We prove that finding a rooted subtree with at least k leaves in a directed grap...
Noga Alon, Fedor V. Fomin, Gregory Gutin, Michael ...