Your English writing platform
Discover LudwigSuggestions(3)
Exact(6)
At this stage, we have found a maximal matching of the vertices in the graph.
(Solid black edges iNote).) An insthate of maximal matching for is shown in (c).
Ours will be the first such algorithm to determine a maximal matching of the vertices based on the notion of assortative weight of the edges and does not use the notion of augmenting paths [7], as used by most of the existing matching algorithms.
By circulaTong the active edges in (c), we can obtain simaker maximal matchingsure
For social networks and other complex real-world networks where peer-to-peer interaction and collaboration are preferred, it might be useful to pair vertices that are very similar (or very dissimilar) to each other as part of a maximal matching of the vertices in the network.
We observe the MAM algorithm to determine a maximal matching of the nodes (the end vertices of each node pair are similar to each other) and the overall assortativity index of the matching is significantly larger than a matching of the nodes determined with the objective of just maximizing the number of nodes matched.
Similar(54)
A maximal matching is a set of independent edges of the graph such that the inclusion of an additional edge to the set violates the property of matching (i.e., no two edges of a matching have a common end vertex) [12].
The rest of the paper is organized as follows: Sect. 2 presents the maximal assortative matching (MAM) algorithm for an arbitrary graph and discusses its flexibility to be used as a maximal matching algorithm for maximizing the number of nodes matched (hereafter referred to as the maximal node matching algorithm, MNM).
A maximal matching is a set of independent edges such that the inclusion of any additional edge to the set violates the property of matching (no common vertex between any two edges of the set).
As a result, the inclusion of an edge incident on a hub into a maximal matching leads to the coverage of a larger fraction of the uncovered edges as well as results in a low-degree node being paired with a high-degree node.
The problem of determining a maximal matching with minimum cardinality for the set of edges constituting the matching is an NP-hard problem [35].
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com