The k-path partition problem is to partition a graph into the minimum number of paths, so that none of them has length more than k, for a given positive integer k. The problem is a generalization of the Hamiltonian path problem and the problem of partitioning a graph into the minimum number of paths.
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The k shortest path routing problem is a generalization of the shortest path routing problem in a given network. It asks not only about a shortest path but ...
Oct 22, 2015 · Finding a flow of value K will give you K paths that don't share a node (because of putting the capacity to 1 in those new edges). So if this ...
Apr 14, 2023 · This paper provides an overview of current research on the existence and counting of k-paths in graphs. Subjects: ...
May 11, 2024 · Since it's a DAG, you can solve it node by node in reverse topological order, i.e., for each node find the k shortest paths starting from there.
This paper considers the prob- lem of constructing small k-Path Covers in the context of road networks with millions of nodes and edges. In many ap- plication ...
Jun 18, 2015 · Let G be a simple graph such that ∀v∈V:d(v)≥k. We can assume that there are at least k+1 vertices since there are k neighbours to every vertex.
What SeeK-path does · finds its spacegroup; · computes the crystallographic primitive cell (i.e., always oriented according to crystallographic standard ...
Dec 26, 2018 · Let's call the number of edges of weight less than k on the path from a vertex v to the root f(v,k). We can calculate the desired final answer ...
A k-path of G is an alternating sequence of distinct k- and k+1-cliques of G, [e0 , t1 , e1 ,..., tp , ep ], starting and ending with a k-clique and such ...