Motivated by the NP-hard problem of finding a minimum-weight balanced bipartition of an edge-weighted complete graph, we studied the class of graphs having the same degrees as bipartite Tur谩n graphs. In particular, we established a maximal set of linear equations satisfied by the counts of ...
For the graph partitioning problem under cardinality constraints, a genetic local search method is developed. At each iteration of the method, there is a set of local optima of the problem. This set is used to search for new local optima with a smaller error. The local search problem with ...
An edge coloring of a graph is a localr-coloring if the edges incident to any vertex are colored with at mostrdistinct colors. In this paper, generalizing our earlier work, we study the following problem. Given a family of graphsF(for example matchings, paths, cycles, powers of cycles and...
4c for the decision graph that identifies community centers. The Louvain algorithm offers an alternative partitioning that ignores the hierarchical nature of the model and finds five communities of roughly equal size, and misclassifies a peripheral cluster as a separate small community (see Fig. 2f)...
Regional-privacy-preserving operation of networked microgrids: Edge-cloud cooperative learning with differentiated policies Qinqin Xia, Yu Wang, Yao Zou, Ziming Yan, ... Qianggang Wang 15 September 2024 Article 123611 select article Flexible dynamic boundary microgrid operation considering network and loa...
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Given a Delaunay triangulationDT(V)of a point setVwe will show that one can remove edges fromDT(V)such that the resulting graphBDG(V)has constant degree and constant stretch-factor. We will also show that the resulting graph has the useful property that for every Delaunay edge (u,v) inD...
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Given a fixed positive integer k, the k-planar local crossing number of a graph G, denoted by LCRk(G), is the minimum positive integer L such that G can be decomposed into k subgraphs, each of which can be drawn in a plane such that no edge is crossed more than L times. In this...
Moreover, the space \mathcal {B} of locally stable packings of N disks of radius \sigma in a given central simulation box is of lower dimension than the sample space \varOmega : For each contact graph, each independent edge decreases the dimensionality by one. In addition there is only ...