Sentence examples for minimum vertex separation from inspiring English sources

According to [34], the number of disjoint paths is equal to that of minimum vertex separation set.

Unfortunately, there are no solutions to the number of minimum vertex separation set in a given graph.

By the splitting operation of each node, the minimum vertex separation set is obtained via solving the minimum edge cut set.

From Menger's theorem [34], the number of node-disjoint paths between any two nodes is equal to that of minimum vertex separation.

Since the network is unit capacity obtained by node-splitting, the number of minimum vertex separation is equal to the minimum edge cut set obtained via Theorem1.

The maximum vertex degree is denoted by Δ, the minimum vertex degree is denoted by δ, and the minimum non-pendent vertex degree is denoted by (delta_{1}).

Vertex Separation Minimization Problem (VSMP) consists of finding a layout of a graph G = (V, E) which minimizes the maximum vertex cut or separation of a layout.

We exemplify this idea by designing and analysing parameterised approximation algorithms for minimum vertex cover.

An FPT algorithm is also proposed which considers as a parameter the size of the minimum vertex cover.

The minimum weighted vertex cover (MWVC) problem, an extension of the classical minimum vertex cover (MVC) problem, is an important NP-complete combinatorial optimization problem with a wide range of applications.

For weighted König-Egerváry graphs (G,w) we observe that the set of vertices belonging to all minimum vertex covers, and the set of vertices belonging to no minimum vertex covers, can be efficiently computed.