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Figure 7 ExAssumeof nethatk graph and matconsistsnder the -hof inthoserence maximalin which the greedy algorithmatchinges no greater than of the optimal performance ( and ).
We can have at most more active edges in each wheel, that is, in and in.
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We refer to the problem of finding a maximal matching with minimum assortative index as the maximal dissortative matching (MDM) problem.
The problem of determining a maximal matching with minimum cardinality for the set of edges constituting the matching is an NP-hard problem [35].
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The median value for the A.Index of the maximal matching obtained with the MAM algorithm across the six real-world network graphs is 0.76, while the median value for the A.Index of the maximal matching obtained with the MNM algorithm is 0.17.
For each (p_mathrm{link}) value, we run 100 trials of the network evolution and analyze the assortatvity of the network as well as evaluate the % of node matches and assortativity of the maximal matching obtained with both the MAM and MNM algorithms.
We assume the node weights as node degree and calculate the assortativity index (hereafter, shortly referred to as A.Index) of the network (considering the set of all edges) and the assortativity index of the maximal matching obtained with the MAM and MNM algorithms.
A maximal matching that is arbitrary with respect to the weight of the vertices being matched need not be preferred in social networks.
The MAM algorithm has to be only slightly modified to determine an MDM: instead of preferring to include edges with a lower assortative weight (to maximize the assortative index of the maximal matching), we need to include the uncovered edge with the largest assortative weight (to minimize the assortative index of the maximal matching) in each iteration.
In this paper, we investigate how the class of maximal matching algorithms deployed in switches with a speedup of less than two can be modified to take into account the varying packet sizes.
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