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Fig. 3 | Applied Network Science

Fig. 3

From: Multiple perspective centrality measures based on facility location problem under inter-group competitive environment

Fig. 3

Expected number of covered nodes and their breakdown. Each bar shows the expected number of covered nodes and their breakdown (g1: red, g2: green, and g3: blue) when a store is opened at the node extracted by each method: the three leftmost bars are \(\mathbf{g }({{\hat{x}}}_1)\), \(\mathbf{g }({{\hat{x}}}_2)\) and \(\mathbf{g }({{\hat{x}}}_3)\), respectively, which are obtained by the multiple perspective group centrality (proposed method) against each group; the next three bars are \(\mathbf{g }({{\hat{y}}}_1)\), \(\mathbf{g }({{\hat{y}}}_2)\) and \(\mathbf{g }({{\hat{y}}}_3)\), respectively, which are obtained by the single perspective group centrality (existing method) against each group; the second rightmost bar is \(\mathbf{g }({{\hat{y}}})\), which is obtained by the existing method against one group where all groups are mixed up; and the rightmost bar is \(\mathbf{g }({{\hat{z}}})\), which is obtained by the classical centrality

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