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Table 6 Fagin’s intersection metric between the proposed and the traditional centrality measures and on considered real-world networks given in Table 1

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

Instance name HABC EABC (\(\alpha =0.5)\) EABC (\(\alpha =0.75)\)
BC CC DC EC BC CC DC EC BC CC DC EC
Chicago Road 0.6487 0.8122 0.6106 0.8187 0.6639 0.7809 0.6286 0.7873 0.6308 0.8073 0.5992 0.816
Chilean Power Grid 0.7007 0.9529 0.6461 0.7418 0.7105 0.9212 0.6553 0.7361 0.6912 0.966 0.6398 0.7416
Euroroad 0.9986 0.5866 0.6477 0.4884 0.9992 0.5869 0.648 0.4888 0.9983 0.5863 0.6477 0.4882
London Metro 0.6801 0.9379 0.6831 0.8843 0.7217 0.8795 0.7013 0.8351 0.6582 0.9546 0.6729 0.8954
Madrid Metro 0.7071 0.9205 0.6645 0.7385 0.749 0.8651 0.6862 0.6978 0.6809 0.9407 0.6542 0.7437
Mexico Metro 0.7546 0.9159 0.6332 0.9014 0.7898 0.8676 0.6409 0.858 0.7289 0.9326 0.618 0.9006
Minnesota Road 0.2845 0.1173 0.3375 0.0239 0.6407 0.2839 0.3661 0.1631 0.3023 0.1223 0.3434 0.0615
Moscow Metro 0.7809 0.9413 0.7758 0.9056 0.7967 0.9193 0.7825 0.8875 0.7615 0.9596 0.7769 0.9083
New York Metro 0.704 0.9081 0.6248 0.7317 0.7949 0.7963 0.6488 0.658 0.7004 0.9022 0.6253 0.7257
Oldenburg Road 0.493 0.8842 0.1815 0.1423 0.7121 0.6117 0.2158 0.1234 0.5207 0.8129 0.1877 0.129
Openflights 0.5825 0.9675 0.7762 0.8194 0.5798 0.9674 0.7753 0.8207 0.5765 0.9632 0.7704 0.8194
Osaka Metro 0.7505 0.9264 0.6979 0.869 0.7758 0.8949 0.7085 0.8427 0.7134 0.958 0.6749 0.8659
p2p-Gnutella08 0.4044 0.926 0.5036 0.8427 0.3999 0.9203 0.4997 0.8474 0.4049 0.9291 0.5057 0.8394
as20000102 0.3204 0.9779 0.4107 0.8947 0.3181 0.9792 0.4085 0.8932 0.3245 0.9823 0.4143 0.8864
Seoul Metro 0.6927 0.9099 0.6274 0.709 0.7945 0.794 0.6263 0.641 0.6883 0.9047 0.6269 0.7098
Shanghai Metro 0.7429 0.8944 0.6196 0.7672 0.7999 0.8264 0.6534 0.7504 0.7165 0.92 0.6016 0.7629
US Air 0.8097 0.9562 0.8614 0.8836 0.8056 0.9541 0.8574 0.8823 0.8026 0.951 0.8538 0.8786
US Power Grid 0.5087 0.8876 0.2427 0.1926 0.5869 0.7553 0.2679 0.1789 0.5025 0.8659 0.2449 0.1949
Paris Metro 0.7242 0.9392 0.6342 0.9106 0.7554 0.8876 0.6523 0.8702 0.7059 0.955 0.6258 0.9207
Tokyo Metro 0.7012 0.932 0.6779 0.8424 0.7305 0.8956 0.69 0.8181 0.6758 0.9439 0.6631 0.843
NRPG data 0.8047 0.9426 0.6834 0.7305 0.8181 0.917 0.694 0.7396 0.7833 0.9572 0.6749 0.7213
Average correlation 0.6569 0.8684 0.5971 0.7066 0.7116 0.8240 0.6098 0.6914 0.6461 0.8721 0.5915 0.7073
Standard deviation 0.1715 0.1903 0.1716 0.2655 0.1480 0.1613 0.1659 0.2452 0.1629 0.1929 0.1671 0.2621