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MAMK CP has the maximum sum of influence propagation.
Therefore, maximizing the sum of influence propagation within each community is not just minimizing the influence propagation crossing different communities.
In this paper, we investigate the Maximum K-Community Partition (MK CP) problem to maximize the sum of influence propagation within each community.
In this paper σ(X) is the sum of influence propagation within X for every node in X, i.e., σ ( X ) = ∑ i ∈ X σ X ( i ).
However, maximizing the sum of influence propagation within each community is not equivalent to minimizing the influence propagation crossing different communities.
We formally define the influence-based community partition problem as a combinatorial optimization problem with the objective of partitioning a social network into K disjoint communities such that the sum of influence propagation within each community is maximized.
Similar(47)
Swinburn et. al. [ 13] conceptualized the role of the obesogenic living environment as "the sum of influences that the surroundings, opportunities, or conditions of life have on promoting obesity in individuals or populations" (p. 564).
Rather than being concerned with the sum of resources or patient flow leaving individual states (as in a regular Markov chain), the present model is concerned with the flow of resources or sum of influences that contribute to an individual state.
The sub-additivity property above means that the influence spread of any seed set S in any topic mixture will not exceed constant times of the sum of the influence spread of the same seed set for each individual topic.
The requirements are only a function of the sum of the influence factors ∑qi.
The inherent conservatism in the present Eurocode 3 methodology is quantified and new transition temperature requirements accounting for the built in conservatism in EN 1993-1-10 and EN 1993-1-12 are obtained in the form of a simple table based on the sum of the influence factors ∑qi.
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