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Table 16 Fagin’s intersection metric between the proposed and the traditional centrality measures and on considered real-world networks given in Table 7

From: Node-weighted centrality: a new way of centrality hybridization

Instance name HADC \(\hbox {EADC}(\alpha =0.25)\) \(\hbox {EADC}(\alpha =0.75)\)
BC CC DC EC BC CC DC EC BC CC DC EC
soc-gplus 0.3873 0.9108 0.6125 0.7472 0.3751 0.8643 0.6025 0.7626 0.3938 0.9309 0.6151 0.7385
Twitter Lists 0.5074 0.9006 0.3708 0.2617 0.5237 0.7576 0.4133 0.2822 0.5052 0.9161 0.3659 0.2599
soc-hamsterer 0.6296 0.9318 0.7721 0.8624 0.6266 0.909 0.7797 0.8847 0.6317 0.9428 0.7679 0.8499
soc-pages-government 0.3962 0.8576 0.6462 0.6835 0.3802 0.7979 0.6706 0.7401 0.4024 0.8853 0.6307 0.6543
soc-pages-politician 0.4003 0.7377 0.5264 0.5629 0.3317 0.5951 0.6021 0.6447 0.4166 0.7894 0.4984 0.5246
soc-pages-shows 0.3818 0.8164 0.6155 0.7474 0.351 0.7154 0.6712 0.766 0.3912 0.8449 0.5841 0.7176
soc-wiki-elec 0.6856 0.9279 0.8281 0.9099 0.6869 0.92 0.8406 0.9223 0.6841 0.9296 0.8184 0.8993
soc-advogato 0.6855 0.9322 0.7789 0.8504 0.6866 0.9156 0.7907 0.867 0.6842 0.9396 0.7724 0.8416
soc-pages-public-figure 0.4086 0.4934 0.7131 0.563 0.2974 0.3305 0.7534 0.7474 0.4504 0.5715 0.6575 0.478
soc-anybeat 0.489 0.9049 0.7134 0.8538 0.4863 0.893 0.7156 0.863 0.4909 0.9122 0.7118 0.8467
soc-pages-sport 0.554 0.9609 0.5484 0.7228 0.5641 0.9344 0.5653 0.7328 0.551 0.9646 0.5438 0.7191
soc-epinions 0.4379 0.7928 0.7482 0.7065 0.4086 0.739 0.7541 0.7644 0.4508 0.8176 0.7389 0.6782
soc-pages-media 0.5299 0.8232 0.6674 0.8256 0.5213 0.7871 0.6852 0.8472 0.5327 0.8369 0.6599 0.8169
soc-pages-company 0.5619 0.95 0.5353 0.2957 0.5618 0.9123 0.5564 0.3019 0.5614 0.9566 0.531 0.2948
soc-gamesec-RO 0.5634 0.9371 0.4429 0.4533 0.567 0.8887 0.4712 0.4845 0.5634 0.9401 0.4402 0.4483
Average correlation 0.5079 0.8585 0.6346 0.6697 0.4912 0.7973 0.6581 0.7074 0.5140 0.8785 0.6224 0.6512
Standard deviation 0.1056 0.1203 0.1309 0.2032 0.1276 0.1617 0.1220 0.1998 0.0994 0.1007 0.1300 0.2049