[PDF] Top 20 Efficiency and Betweenness Centrality of Graphs and some Applications

... The concept of global efficiency has been applied to optimization of transportation systems and brain connectivity. We show that star-like networks have a high level of efficiency. We apply these ideas to ... See full document

... constructed graphs with edges based on correlation cutoffs and then partitioned the brain using ...as graphs. We were then able to measure the “efficiency” of each ... See full document

... extremal graphs with respect to vertex betweenness for certain graph families were con- ...sidered. Some recent applications of betweenness centrality include analyzing social ... See full document

... the applications of graph theory the analysis of complex networks is the one which has an important place, as it describes relations between real-world objects of various ...the betweenness ... See full document

... this centrality metric is rather expensive to compute and there is a number of studies devoted to approximate ...of betweenness centrality for dynamically changing ...of betweenness ... See full document

... Because of the applications discussed in the previous paragraph, there are many works that proposed algorithms for the graph. Those works include a work by Orlin, who proposes algorithms to determine weakly ... See full document

... computing betweenness centrality. In many applications not an individual node but rather a set of nodes is chosen to perform some ...of centrality to groups of nodes. While group ... See full document

... Betweenness centrality is a distance-based invariant of ...compute betweenness centrality of some important classes of ...pose some open problems related to this ... See full document

... This algorithm is developed by Geisberger et al. [21]. It is based on the pivot method originally proposed by Brandes and Pich, where calculations are run on some number k of sampled pivots. The Brandes2007 method ... See full document

... The betweenness centrality is one of the basic concepts in the analysis of the social ...the betweenness of a node in the graph is based on the fraction of the number of geodesics (shortest paths) ... See full document

... Keywords: betweenness centrality, betweenness-selfcentric graph MSC 2010: 05C12 ...of centrality indices. Given a graph G, a centrality index is a function c : V (G) → R which is ... See full document

... author i co-authored a paper with author j, an edge is drawn be- tween vertices i and j [23]. Over this dataset, the running time always decreases, as the size of K increases. Eva is a prototype system for extracting, ... See full document

... of centrality measures called betweenness centralities reflects degree of participation of edges or nodes in communication be- tween different parts of the ...ness centrality is based on counting ... See full document

... Helps graph analysis, visualization, understanding , e.g., • Let us rank nodes, group or study them by centrality1. • Only show subgraph formed by the top 100 nodes , out of the milli[r] ... See full document

... of betweenness centrality [10] the parents list is ...the betweenness centrality of a parent, in the dependency accumulation stage, it is necessary to acquire a lock on the ...for ... See full document

... is betweenness centrality, quantifying the number of times a node occurs on all shortest paths in a ...This centrality of nodes often significantly depends on the presence of nodes in the network; ... See full document

... Eulerian graphs, starting from the problem of Konigsberg seven bridges to the current problem of DNA fragment assembly, to draw the attention of the young researchers uninitiated in this area of ...out some ... See full document

... the centrality index, formally defined, for a graph G, as a function c : V (G) → R which is invariant under graph isomorphism (for inter- pretation purposes, the vertices of G with higher centrality values ... See full document

... topological efficiency index ρ for some composite graphs such as tensor product, strong product, symmetric difference and disjunction of two connected ...topological efficiency index for a ... See full document

... Sebagai kesimpulan dicatat beberapa temuan yakni: 1 kompleksitas waktu algoritma eksak perhitungan betweenness centrality adalah Onm untuk graf tak berbobot dan Onm+n2 log n untuk graf b[r] ... See full document