Acta Physica Sinica, Volume. 68, Issue 10, 100501-1(2019)

A spectral coarse graining algorithm based on relative distance

Qing-Lin Yang, Li-Fu Wang*, Huan Li, and Mu-Zhou Yu
Figures & Tables(6)
The processing of merging nodes.合并节点的过程
Two schemes of merging 15 nodes into 14 nodes.15个节点并为14个节点的两种方案
The maintaining of obtained by using ISCG and ISCGR algorithms in coarse graining metwork: (a) BA network; (b) ER network; (c) NW network.采用ISCG与ISCGR算法获得谱粗粒化网络对的保持情况 (a) BA无标度网络; (b) ER随机网络; (c) NW小世界网络
The maintaining of obtained by using ISCG and ISCGR algorithms in coarse graining metwork: (a) BA network; (b) ER network; (c) NW network.采用ISCG算法与ISCGR算法获得谱粗粒化网络对的保持情况 (a) BA无标度网络; (b) ER随机网络; (c) NW小世界网络
The maintaining of obtained by using ISCG and ISCGR algorithms for real-world networks in coarse graining network.分别采用ISCG与ISCGR算法对实际网络进行粗粒化后保持情况的对比图
  • Table 1. The Statistics table of maintaining obtained by using ISCG and ISCGR algorithms for some real-world networks in coarse graining network. 分别采用ISCG和ISCGR算法对实际网络约简后 的保持情况统计表

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    Table 1. The Statistics table of maintaining obtained by using ISCG and ISCGR algorithms for some real-world networks in coarse graining network. 分别采用ISCG和ISCGR算法对实际网络约简后 的保持情况统计表

    种类网络节点文献Δλ2 (30%N) Δλ2 (20%N) Δλ2 (10%N) Δλ2 (2%N)
    ISCGISCGRISCGISCGRISCGISCGRISCGISCGR
    化学DD_g1327899[27] 2.06%1.77%7.66%7.17%34.90%23.46%187%173%
    DD_g10467071646[27] 1.40%1.31%7.27%6.62%42.92%17.81%191%94%
    合作netscience379914[27] 0.13%0.13%1.05%1.05%5.79%5.46%49.74%39.41%
    ca-GrQc415813422[27] 00000.03%0.03%0.34%0.20%
    社交ia-infect-dublin4102765[27] 0.91%0.95%3.59%2.46%13.47%14.37%104%51%
    moreno_crime8291473[28] 0.01%0.01%0.39%0.24%3.02%2.32%13.34%13.05%
    socfb-Sim81151832988[28] 00000023.65%11.82%
    ia-email-univ11335451[27] 00000.07%0.06%0.26%0.16%
    电力东北电网5870[29] 8.14%5.78%24.36%18.63%54.65%54.65%
    IEEE162162280[29] 2.35%2.10%16.94%8.68%27.70%25.65%113%113%
    IEEE145145422[29] 0.85%0.80%4.14%3.16%17.85%14.22%240%230%
    生物diseasome5161188[27] 0.22%0.11%0.79%0.67%2.58%2.02%33.45%15.82%
    互联网Route views647412572[28] 00000.07%0.07%1.07%0.57%
    Wiki-vote8892914[27] 0.02%0.01%0.07%0.05%0.17%0.17%0.61%0.49%
    技术bibd_12_44952951[27] 0.02%0.01%0.20%0.06%0.80%0.41%29.02%19.73%
    G180019176[27] 00000.27%0.19%0.56%0.55%
    GD00_c6381020[27] 0.02%0.02%0.27%0.27%1.50%1.15%4.29%2.75%
    dwt_100510053808[27] 2.17%0.49%4.25%1.61%23.93%10.83%129%92%
    dwt_5035032762[27] 4.94%3.68%9.33%6.18%44.00%21.32%138%117%
    数学130bit5846058[27] 0.01%00.02%0.01%0.68%0.36%1.51%1.15%
    ash6086081212[27] 0.74%0.40%6.95%1.10%18.29%13.73%51.99%30.57%
    bibd_12_57927860[27] 0.02%00.07%0.03%0.35%0.11%25.14%5.84%
    jagmesh310893136[27] 0.31%0.10%1.44%1.13%16.86%9.25%192%127%
    frb45-21-1945386854[27] 0.03‱00.23‱0.04‱0.51‱0.28‱1.39‱1.34‱
    kneser_6_2_16762017[27] 0.03%0.01%0.16%0.13%1.83%0.44%81%30%
    EX15604368[27] 000.03%0.03%3.08%0.41%123%26%
    随机G4310009990[27] 000.01%00.13%0.11%0.95%0.50%
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Qing-Lin Yang, Li-Fu Wang, Huan Li, Mu-Zhou Yu. A spectral coarse graining algorithm based on relative distance[J]. Acta Physica Sinica, 2019, 68(10): 100501-1

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Received: Oct. 15, 2018

Accepted: --

Published Online: Oct. 29, 2019

The Author Email:

DOI:10.7498/aps.68.20181848

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